The quantity supplied is determined by production costs, and the quantity demanded is determined by the desire for the product
The quantity demanded is a term that is used in economics to describe the total amount of a good or service that consumers demand over a given interval of time
When the production increase, fewer people could afford to put up the capital to do it, which reduce the quantity supplied to the market.
When the desire for a product increased, the amount of demand for a product will be the same since there is a larger amount of consumers who might be willing to obtain the product even at a higher price.
To know more about Quantity demand:
https://brainly.com/question/1692392
#SPJ4
One of the tables shows a proportional relationship.
Graph the line representing the proportional relationship from this table.
ASAP PLEASE, FIRST CORRECT ANSWER GETS BRAINIEST
The third table shows a proportional relationship. Its graph is shown below.
How to Determine a Table that Represents a Proportional Relationship?A table of a proportional relationship is a set of pairs of values of the two variables involved in the relationship, where one variable is proportional to the other.
If the relationship between the variables on a table is proportional, the values in the table will form a straight line when plotted on a graph.
The constant of proportionality (k) for the third table = y/x = 2. Therefore it represents a proportional relationship.
The graph of the table is shown below.
Learn more about the proportional relationship on:
https://brainly.com/question/28777033
#SPJ1
Select 3 solutions to inequality graphed below.
Equations and inequalities are both mathematical constructions made by joining two expressions.
What is meant by inequality?A connection in mathematics that compares two numbers variables or other mathematical expressions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line. Less than or equal to, larger than, less than, and more than or equal to are the four fundamental inequalities.
Here,
Given :
-1 to 2 in the graph ,
To find the solution for the inequality ,
We get option -1 as the inequality
=> -1 ,0 ,1,2
=> -1 is the solution for this
These symbols for inequality are not equal (≠), less than (<), greater than (>), less than or equal (≤), and more than or equal (≥). Comparing numbers and identifying the range or ranges of values that satisfy the requirements of a given variable are both done using inequalities.
Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >, <, ≤ or ≥ indicate that the two expressions in an inequality are not always equal.
Therefore, the correct answer is option b.
To learn more about inequality refer to;
brainly.com/question/25275758
#SPJ1
what is the finest grain in statistics
The finest-grain property simply means that all possible distinguishable outcomes are identified separately in probability statistics.
The requirement that outcomes be mutually exclusive says that if one outcome occurs, then no other outcome also occurs.
An outcome is often called a finest grain result of the model in the sense that an outcome ω contains no subsets other than the empty set ϕ and the singleton subset {ω}. A sample space is a set of all the possible outcomes or sample points, denoted as Ω. An outcome ω is often called a finest grain result when even {ω} contains no proper subsets. The outcomes in the sample space are mutually exclusive and collectively constitute the entire sample space.
Learn more about the statistics and probability here :
https://brainly.com/question/27342429
#SPJ4
The complete question is :
what is the finest grain property in statistics?
premise 1: you don’t know how to drive. premise 2: you don’t like the smell of pizza. The conclusion is?
The conclusion is that it is not necessary to learn how to drive in order to enjoy the smell of pizza.
In order to draw a conclusion from two given premises, you must identify the relationship between them. In this case, the two premises are unrelated. The first premise states that you don't know how to drive and the second states that you don't like the smell of pizza. Since there is no relationship between these two premises, there is no conclusion that can be drawn from them. However, you can draw a conclusion based on the absence of a relationship. In this case, the conclusion is that it is not necessary to learn how to drive in order to enjoy the smell of pizza. This is because the two premises have no bearing on each other and, therefore, learning how to drive does not necessarily lead to enjoying the smell of pizza.
Learn more about conclusion here
https://brainly.com/question/14897697
#SPJ4
b) A rectangular room contains 600 m³ of air and its height is 5 m. (i) Find the area of its floor. (ii) Find the cost of carpeting its floor at Rs 60 per sq.m.
(i) Area of the floor = 120m²
(ii) Cost of carpeting the floor = Rs 7200
Given:
Amount of the air of a rectangular room (Cuboidal shaped) =Volume of rectangular room= 600m³
Height of the rectangular room = 5m
(i) According to question we have to find area of the rectangular floor.
We know Area of Rectangle = length × breadth
here, length and breadth is not known to us let's find.
We Know, Volume of Cuboid = length × breadth × height
600m³ = length × breadth × 5m
600 ÷ 5 = length × breadth
120 = length × breadth
length × breadth = 120
Area of the rectangular floor = length × breadth
= 120m²
(ii) Now we have to calculate the cost of carpeting rectangular room floor at Rs 60 per sq m.
Area of the rectangular floor = 120m²
Given:
Cost of carpeting the floor at Rs 60
Cost of carpeting the floor= cost × Area of floor
= 60 × 120
Cost of carpeting the floor = Rs 7200
To learn more about Volume of cuboid:
https://brainly.com/question/27090332
consider the aloha example. suppose it is known that x1 = x2. find the probability that there were 0, 1 or 2 collisions during those two epochs analytically and confirm via r simulation.
X1+X2 have distribution Bi(n1+n2, p) then the probability is P(X1+X2 = 1 | X2 = 0) = np(1-p)ⁿ¹⁻¹ ,P(X1+X2 = 1| X2 = 1) = (1-p)ⁿ¹and P(X1 + X2 = 1) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹
Since both variables are independent but they have the same probability parameter, you can interpret that like if the experiment that models each try in both variables is the same. When you sum both random variables toguether, what you obtain as a result is the total amount of success in n1+n2 tries of the same experiment, thus X1+X2 have distribution Bi(n1+n2, p).
Note that, if X2 = k, then X1+X2 = 1 is equivalent to X1 = 1-k. Since X1 and X2 are independent, then P(X1+X2 = 1| X2 = K) = P(X1=1-k|X2=k) = P(X1 = 1-k).
If k = 0, then this probability is equal to P(X1 = 1) = np(1-p)ⁿ¹⁻¹
If k = 1, then it is equal to P(X1 = 0) = (1-p)ⁿ¹
Thus,
P(X1+X2 = 1) = P(X1+X2 = 1| X2 = 1) * P(X2=1) + P(X1+X2 = 1| X2 = 0) * P(X2 = 0) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹
learn more about of probability here
https://brainly.com/question/14690794
#SPJ4
Thank you so much for the answers
The graphs for g(x) = 2x + 7 is produced from graphs equation f(x) = 2x by such a vertically adjustment pushed upwards towards 7 units.
What purposes do graphs serve?Graphs and tables are useful visual aids because they make information accessible and easy to understand. Therefore, it is not unexpected that both print and digital media frequently employ graphs.
An graphs with g(x) = 2x + 7 is produced by vertically translating the graphs of f(x) = 2x upwards through 7 units. A graph's vertical translation simply shifts it up or down the y-axis without altering its form. To create that graphs of g(x) = 2x + 7, the graphs from f(x) = 2x is in this case pushed upward 7 units. To visualize this, imagine starting with the graph of f(x) = 2x, and then moving all the points on the graph upward 7 units along the y-axis. The resulting graph is the graph of g(x) = 2x + 7.
To know more about Graph visit :
https://brainly.com/question/9182097
#SPJ1
hi, can anyone help me, thanks.
Answer:
187/2
Step-by-step explanation:
using five bits to represent each number, write the representations of 7 and ‒7 in 1’s complement, signed magnitude, and 2’s complement integers.
The range of decimal values that can be represented is -16 to +15 by using five bits and 2’s complement integers.
5 bit 2's complement representation will be of the form b1b2b3b4b5 where each bit is either 0 or 1.
The largest positive number that can be represented using this scheme is 01111
Translating this to decimal this is [tex]2^{3} +2^{2} +2^{1} +2^{0}[/tex]
= 8 + 4 + 2 + 1
= 15
The smallest negative number that can be represented using this scheme is 10000
Translating this to decimal = -1 * 2^4
= -1 * 2*2*2*2
= -1 * 16
= -16
Therefore,
The range of decimal values that can be represented is -16 to +15 by using five bits and 2’s complement integers.
To learn more about Complement integers visit :
brainly.com/question/13195243
#SPJ4
Plot a scatter plot showing the relationship between father and offspring telomere length.a. Do the data require any transformation before analysis? How can you tell?
b. Fit a linear regression that predicts the offspring telomere length from its father's. Is there evidence that the father's telomere length predicts his offspring's value?
The linear regression that predicts the offspring is The regression equation is y = 0.2134x + 0.513 and the box plot of the data is illustrated below.
The term called box plot is defined as a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.
Here we have know that a scatter plot showing the relationship between father and offspring telomere length.
Then the box plot of the data is plotted as follows.
=> 0.281, 0.301, 0.282, 0.425, 0.463, 0.514, 0.506, 0.535, 0.556, 0.59, 0.49, 0.435, 0.482, 0.504, 0.524, 0.487, 0.554, 0.588, 0.631, 0.664, 0.698, 0.513
Then the linear regression is written as
=> y = 0.2134x + 0.513
To know more about box plot here.
https://brainly.com/question/1523909
#SPJ4
In a direct variation, y= 1 /7 when x= 8/7 Write a direct variation equation that shows the relationship between x and y.
The equation for direct variation showing the relationship between x and y is y = 8x
What is a direct variation?
A sort of proportionality known as "direct variation" occurs when one quantity directly changes in response to a change in another quantity. This suggests that if one quantity increases, the other quantity will also increase proportionately. Similar to the last example, if one quantity declines, the other amount also declines. The link between direct variation and the graph will be linear, resulting in a straight line.
Given when x = 8/7, y = 1/7
The general equation for direct variation is
y = mx
m = x/y = ( 8/7 ) / ( 1/7) = 8
Therefore the equation for direct variation for the given question is
y = 8x
To learn more about direct variation, follow the link.
https://brainly.com/question/10617012
#SPJ1
what expresion is equivilant to 63+35
Answer: 98
Step-by-step explanation:
63 + 35
= 63 + 30 + 5
= 93 + 5
= 98
Answer:
63+35=98
Step-by-step explanation:
It takes 1 work day to repair 300m of road. At this rate how many days will it take to repair 30km of road?
Answer:
100 days
Step-by-step explanation:
We know
1km = 1000m
30km = 30000m
It takes 1 work day to repair 300m of the road.
30000 divided by 300 = 100 days
So, it takes 100 days to repair 30km of road.
The stopping distance (at some fixed speed) of regular tires on glare ice is a function of the air temperature F, in degrees Fahrenheit. This function is estimated by D(F) = 2F+115, where D(F) is the stopping distance, in feet, when the air temperature is F, in degrees Fahrenheit. (a) Find D(0degrees), D(-20degrees), D(32degrees). (b) Explain why the domain should be restricted to [-57.5degrees,32degrees].
The stopping distance of regular tires on glare ice is estimated by the function D(F) = 2F+115, where D(F) is the stopping distance in feet and F is the air temperature in degrees Fahrenheit.
(a) D(0°) = 115 feet, D(-20°) = 95 feet, D(32°) = 147 feet
(b) The domain should be restricted to [-57.5°,32°] because the function D(F) gives a negative value when F is less than -57.5°, which is not physically possible. The function is also not defined for temperatures greater than 32° because the stopping distance is not a linear function of the temperature at higher temperatures.
The stopping distance of regular tires on glare ice is estimated by the function D(F) = 2F+115, where D(F) is the stopping distance in feet and F is the air temperature in degrees Fahrenheit. For specific temperatures, D(0°) = 115 feet, D(-20°) = 95 feet, and D(32°) = 147 feet. The domain should be restricted to [-57.5°,32°] because the function is not physically possible for temperatures less than -57.5° and is not a linear function of temperature at higher temperatures.
Learn more about distance here
https://brainly.com/question/28956738
#SPJ4
a. For what value of c is the quantity Sum(x_1- c)^2 minimized? [Take the derivative with respect to c, set equal to 0, and solve.]
b.Using the result of part (a), which or the two quantities Sum(x, - x)^2 and Sum(x_i - mu)^2 will be smaller than the other (assuming that x yu,)?
Minimizing the Sum of Squared Deviations
In statistics, the objective of many analyses is to identify the values of parameters that minimize the sum of squared deviations between observed and expected values. A common example of this is finding the mean (average) of a set of values. In this context, the deviations are calculated as the difference between each observed value and the mean.
In the problem stated above, we have a sum of squared deviations given by the expression (x_1 - c)^2. The goal is to find the value of c that minimizes this expression. To do this, we will take the derivative of the expression with respect to c, set it equal to 0, and solve for c.
Taking the derivative with respect to c:
The derivative of (x_1 - c)^2 with respect to c is 2 * (x_1 - c) * (-1) = 2 * (c - x_1). Setting this equal to 0 and solving for c:
2 * (c - x_1) = 0
c = x_1
So, the value of c that minimizes the expression (x_1 - c)^2 is equal to x_1.
Comparing Sum(x_i - mu)^2 and Sum(x_i - x_1)^2:
Now, let's consider the two quantities Sum(x_i - mu)^2 and Sum(x_i - x_1)^2. Assuming that mu is the population mean and x_1 is a sample mean, we can say that Sum(x_i - mu)^2 will always be equal to or larger than Sum(x_i - x_1)^2. This is because the sample mean is an unbiased estimator of the population mean and has a smaller variance than the population mean. In other words, the sample mean will be closer to the observed values, on average, than the population mean, leading to smaller deviations and a smaller sum of squared deviations.
Here you can learn more about Deviations
https://brainly.com/question/29750046#
#SPJ11
Jose just purchased a house for $625,000. His annual homeowner's insurance premium is $0.52 per $100 of value. If his annual premium is divided into equal monthly payments, what will Jose have to pay on a monthly basis to keep his home insured?
Jose has to pay $270.83 on a monthly basis to keep his home insured.
What are percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Given that the annual homeowner’s insurance premium is $0.52 per $100 of value.
The annual home owner insurance premium is 0.52% of the house value and can be evaluated as follows;
0.52% of $625,000 = $3,250.
Therefore, his annual premium is set at $3,250.
However, we are required to determine what will Guillermo have to pay on a monthly basis.
Therefore, we have; $3,250 spread equally over 12 months.
Therefore, we have; $3,250/12 = $270.83
Hence, Jose has to pay $270.83 on a monthly basis to keep his home insured.
Learn more about percentage here:
https://brainly.com/question/14801224
#SPJ1
Scientists trying to calculate the half-life (the time it takes for half of a sample to decay) of Phosphorus-32, took measurements of the sample once every day for five days. On what day should about half of the original amount of P-32 remain? (Round answer to the nearest day.)
According to the information, on the 11th day, half of the substance should remain.
How to calculate on which day half of the substance will remain?To calculate what day half of the substance will remain, we must carry out the following mathematical procedure.
First of all we must find the range of decrease from one value to another.
4, 4.5, 5.5, 4 and 3
We average these values and it gives us 4.4.
We then subtract 78 - 50 to identify the difference between these two mass values. and then we divide the result in the decreasing range (4.4).
78 - 50 = 2828 / 4.4 = 6.36According to the above, it would take another 6.3 days to reach 50%, so more or less on day 11 half of the substance would remain.
Learn more about substances in: https://brainly.com/question/24372098
#SPJ1
which of the following expressions is correct l-37l = 37 -l37l = 37 l-37l =-37 -l37l =37
Answer:
l-37l = 37
Step-by-step explanation:
The absolute value of a negative number is the positive of the number
I NEED HELP ON THIS ASAP!!
How many boxes would Alan have to sell to earn less than $2050?
Alan has to sell 540 boxes to earn less than $2050
What is linear model?A linear model is an equation that describes a relationship between two quantities that show a constant rate of change.
Given is graph that represent the relation between the total sales and number of boxes sold,
The linear model for same is given by =
f(b) = 3.75b + 25
We need to find, how many boxes would Alan have to sell to earn less than $2050,
Here, we have, f(b) = $2050
Therefore,
$2050 = 3.75b + 25
3.75b = 2025
b = 540
Hence, Alan has to sell 540 boxes to earn less than $2050,
Learn more about linear model, click;
https://brainly.com/question/29757372
#SPJ1
At a basketball game, a team made 55 successful shots. They were a combination of 1- and 2-point shots. The team scored 91 points in all. Write and solve a system of equations to find the number of each type of shot.
Answer:
We can use a system of equations to solve this problem. Let x be the number of 1-point shots and y be the number of 2-point shots.
The first equation represents the total number of shots taken:
x + y = 55 (1)
The second equation represents the total number of points scored:
x + 2y = 91 (2)
To solve for x and y, we can use the first equation to substitute for one of the variables in the second equation. Using (1) to substitute for x in (2):
y = 55 - x
Then substitute this value of y in equation (1)
x + (55 - x) = 55
Solving for x, we get:
x = 20
So the team made 20 1-point shots and 35 2-point shots.
Answer:
There are:
19 1-point shots
36 2-point shots
Step-by-step explanation:
Solve for the system of equations. The first equation will give you the value based on the total amount of points, while the other equation will be based on the amount of shots in total:
It is given that the team scores 91 points in all, and that they are all 1- and 2- point shots (no 3 pointers). Set the equation. Let x = 1-point shots, and y = 2-point shots:
x + y = 55
1x + 2y = 91
First, isolate the variable, y, in the first equation. Subtract x from both sides of the equation:
y + x = 55
y + x (-x) = 55 (-x)
y = 55 - x
Next, plug in 55 - x for y in the second equation:
x + 2y = 91
x + 2(55 - x) = 91
Then, simplify. First, distribute 2 to all terms within the parenthesis:
2(55 - x)
= (2 * 55) - (2 * x)
= 110 - 2x
x + 110 - 2x = 91
First, combine like terms. Like terms are terms that share the same amount of the same variable:
(x - 2x) + 110 = 91
-x + 110 = 91
Then, isolate the variable, x. First, subtract 110 from both sides of the equation:
-x + 110 (-110) = 91 (-110)
-x = 91 - 110
-x = -19
Isolate the variable, x, completely, by dividing -1 from both sides of the equation:
(-x)/-1 = (-19)/-1
x = -19/(-1)
x = 19
~
Plug in 19 for x in one of the given equations in the system of equations:
x + y = 55
19 + y = 55
Isolate the variable, y, by subtracting 19 from both sides of the equation:
y + 19 = 55
y + 19 (-19) = 55 (-19)
y = 55 - 19
y = 36
~
There are 19 1-point shots & 36 2-point shots
Learn more about solving for system of equations, here:
https://brainly.com/question/13997560
Determine which set of side measurements could be used to form a triangle.
The set of side measurement that will form a triangle is 8, 9 and 15.
How to find the side of a triangle?A triangle is a polygon with 3 sides. The sum of angles in a triangle is 180 degrees.
Therefore, the triangle inequality theorem can be used to know the length of sides that can form a triangle.
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
If the length are a, b and c. Therefore,
a + b > c
a + c > b
b + c > a
Therefore, applying this principle the measurement that will form a triangle is 8, 9 and 15.
learn more on triangle here: https://brainly.com/question/29362574
#SPJ1
dr. maldari would like to study the relationship between room lighting and college students' test performance. he randomly assigns students to two groups. the first group takes an exam in a dimly lit room and the second group takes the same exam in a regularly lit room. which is the control group?
In this study, the group of students who take the exam in a regularly lit room can be considered the control group.
The control group provides a baseline or comparison for the experimental group (the group of students who take the exam in a dimly lit room). The control group helps to establish a cause-and-effect relationship between the independent variable (room lighting) and the dependent variable (test performance), as any observed differences in test performance between the two groups can be attributed to the difference in lighting conditions.
By having a control group, the researcher can ensure that any observed effects are due to the independent variable and not due to extraneous variables.
To know more about control group refer to:
brainly.com/question/25801453
#SPJ4
A conumer might repond to a negative incentive by
purchaing more of the product. Buying the good at a cheap price. Receiving a dicount. Decreaing ue of the product to ave money
A consumer might respond to a negative incentive by: Decreasing the use of the product to have money.
What is incentive?Positive incentives: monetary benefits for making particular decisions or carrying out particular behaviours. Purchasing particular goods from the shop, dining at particular establishments, or picking particular businesses are a few examples. Negative incentives are financial penalties imposed for choosing particular options or doing certain behaviours. Financial and non-financial incentives are the two different categories of incentives. Financial incentives are payments or awards provided in return for hitting certain targets or goals. Non-monetary incentives include recognition, prizes, and other non-cash benefits.
correct option is: Decreasing the use of the product to have money.
To know more about negative incentive refer to:
https://brainly.com/question/30161826
#SPJ1
For f(x)=3x+1 and g(x)=x2-6, find (f times g)(4)
The value of the composition function f ( g ( 4 ) ) = 31
What is Composition of functions?Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) = 3x + 1
Let the second function be represented as g ( x )
Now , the value of g ( x ) = x² - 6
And , the composition function f ( g ( x ) ) is calculated as
when x = 4
Substitute the value of x = 4 in the equation , we get
g ( x ) = x² - 6
g ( 4 ) = 4² - 6
g ( 4 ) = 10
f ( g ( 4 ) ) = f ( 10 )
Substitute the value of x = 10 in the equation , we get
f ( x ) = 3x + 1
f ( 10 ) = 3 ( 10 ) + 1
f ( 10 ) = 31
Hence , the equation is f ( g ( 4 ) ) = 31
To learn more about composition of functions click :
https://brainly.com/question/17673639
#SPJ1
Explain why both of the following forms of the SVD are equivalent: A=ULVT AV = US
Both of the following forms of the SVD are equivalent because both are related spectroscopic data.
Singular value decomposition (SVD)
Singular value decomposition (SVD) is a technique commonly used in the analysis of spectroscopic data that both acts as a noise filter and reduces the dimensionality of subsequent least-squares fits.
The singular value decomposition (SVD) of a matrix A is the process of factorizing A into the product of three matrices A = U DV^{T} where the columns of U and V are orthonormal and the matrix D is diagonal with positive real entries. Data matrix A is useful to find a low rank matrix which is a good approximation to the data matrix.
spectroscopic data
spectrographs collect data that tell scientists how much light comes out at each wavelength. These data reveal important details about the makeup of atmospheres on exoplanets, the compositions of stars and nebulas, the motion of galaxies and more.
Learn more about Singular value decomposition here :_
https://brainly.com/question/30007171
#SPJ4
Janet wants to order a pizza for delivery to her home. Fast Delivery charges $15 per large pizza plus $2 for delivery. Order for Home charges $12 per large pizza plus $8 for delivery.
For how many pizzas is the cost the same?
Which equation represents the problem, where p is the number of large pizzas?
A. 15p+2 = 12p + 8
B. 15p+8 = 12p + 2
C. 15+2p= 12 + 8p
D. 15+ 8p = 12 + 2p
Answer:
A. 15p+2 = 12p + 8 represents the problem, where p is the number of large pizzas.
To find the number of pizzas for which the cost is the same, you need to set the two expressions equal to each other and solve for p.
15p + 2 = 12p + 8
3p = 6
p = 2
So, the cost is the same when two large pizzas are ordered
The equation that represents the problem is D. 15+ 8p = 12 + 2p.
You can solve the equation to find out at which point the cost is the same by isolating the variable (p) on one side of the equation.
You can do that by subtracting 12 from both sides, and then subtracting 8p from both sides.
It will give you : 3 = 2p which means p = 1.5.
So, for 1.5 large pizzas the cost of ordering from Fast Delivery and Order for Home will be the same.
What does it mean when a quadratic function has two irrational roots?
(I need to explain it for a math final)
A quadratic function can have two irrational roots.
but A quadratic equation can have no real number solutions.
What is quadratic function?
A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two. Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2. A quadratic function has a minimum of one term which is of the second degree. It is an algebraic function.
The parent quadratic function is of the form f(x) = x^2 and it connects the points whose coordinates are of the form (number, number^2). Transformations can be applied on this function on which it typically looks of the form f(x) = a (x - h)^2 + k and further it can be converted into the form f(x) = ax^2 + bx + c.
Now,
According to the question,
A quadratic function can have two irrational roots. we can understand this by taking a example.
example:
x^2-x-2=0
This equation have two irrational roots 1+√3 and 1 - √3.
A quadratic function can have no real number solutions.
Hence,
A quadratic function can have two irrational roots.
To know more about quadratic function visit the link
https://brainly.com/question/26582529
#SPJ1
17 students said they enjoy summer the most.
4 of the girls said they enjoy winter.
The ratio between boys and girls is 8 : 11.
The probability of picking a student at random who enjoys Summer is 17/38
Twice as many of the girls chose summer over spring.
7 boys chose summer.
Autumn was chosen by 3 more boys than girls.
The probability of picking a boy at random who chose spring is 18.75%
The total number of boys is 19, out of them 1 spring, 7 summers, 10 autumn leaves 1 to pick winter.
What is the ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given that there are 17 total summer lovers and 7 boys/summer, we know 10 girls like summer.
girls' summer then, so 10/2 is 5 girls' choice.
Since there are 17 total summer lovers and 7 boys/summer, we know 10 girls like summer and Two girls picked summer over spring,
so, 10/2 is 5 girls picking spring.
The last clue says that if you pick a spring lover, there is an 18.75% chance of it being a boy, so x/(x+5)=0.1875 x=1.
38% of interviewed students preferred summer, so: 17/x = 0.38 Total students= 45
We know that for every 8 guys, there are 11 girls.
So if we fiddle around with scaling that ratio to find the combination that adds up to 45, we get a scale of 2.35.
2.35*8=19 and 2.35*11=26
So the total number of girls is 26, meaning the number of girls/in autumn is 26-5-4-10=7
Three more boys chose autumn than the girls, so 10 boys/autumn.
Therefore, The total number of boys is 19, out of them 1 spring, 7 summers, 10 autumn leaves 1 to pick winter.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ1
Find the cofactors of A, place them in the matrix C, then use ACT to find the determinant of A, where: [1 1 47 A= 1 2 2 1 2 5]
The cofactor of A is C = [-3 0; 0 -46], and the determinant of A is -3.
The cofactor of each element in a 2x2 matrix is found by switching the signs of the elements in the determinant when the sum is taken (i.e. changing the sign of one element in the determinant if it is in an odd-numbered row or column).
For a 2x2 matrix A = [a b; c d], the determinant is given by det(A) = ad - bc.
For the given matrix A = [1 1 47; 1 2 2; 2 5 1], the cofactor matrix C is found by finding the determinant of each 2x2 sub-matrix obtained by excluding one row and one column of A.
C = [(-1)(2-5) (1)(2-2); (1)(1-1) (-1)(1-47)].
C = [-3 0; 0 -46].
To find the determinant of A using the cofactor matrix C, we take the sum of the products of the elements in each row of A and the corresponding elements in each column of C.
det(A) = 1*-3 + 10 + 470 + 10 + 20 + 2*-46 = -3.
So the determinant of A is -3.
To learn more about cofactor here:
https://brainly.com/question/28207649
#SPJ4
What type of function is this Linear or Exponential?
The function y = 3x + 7 is a linear function and the second function that is represented in table is an exponential function.
What is a linear and exponential function?The way the y-values change when the x-values increase by a constant amount differs between linear and exponential relationships: The y-values in a linear relationship differ by the same amount. The y-values in an exponential relationship have equal ratios.Linear functions have a straight line as their graph. There is one independent variable and one dependent variable in a linear function. x and y are independent and dependent variables. An exponential function is a mathematical function with the formula f (x) = aˣ, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero. The transcendental number e is the most commonly used exponential function base.Here the function y = 3x + 7 is a linear function and the second function is an exponential function because powers of 2.
To learn more about functions refer to :
https://brainly.com/question/725335
#SPJ1
