The final answer of the given quadratic equation is 2x - 3y + 7= 0.
What is the quadratic equation?
Any equation in algebra that can be written in standard form as where x is an unknown and a, b, and c denote known numbers, where a 0 is a quadratic equation.
We have,
2x = 3y - 7
Converting the given equation in the form of ax + by + c = 0, we get
2x - 3y + 7= 0
Hence, the final answer of the quadratic equation is 2x - 3y + 7= 0.
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Pls. Help. Lots of points plus Brainliest!
What is 12*12/2+13?
Step-by-step explanation:
[tex]\sf 12 \times \cfrac{12}{2} + 13[/tex]
First, let's divide 12 by 2:-
[tex]\sf 12 \times 6 + 13[/tex]Multiply 12 × 6 :-
[tex]\sf 72 + 13[/tex]Add 72 + 13:-
[tex]\sf 85[/tex]Therefore, your answer is 85!!
____________________
Hope this helps!
Have a great day!!
solve for x: 4x-3=2x+7
Answer:
x=5
Step-by-step explanation:
Follow the steps in the image.
-Hope this helped
A movie store had four hundred ninety-five movies they were putting on six shelves. If the owner wanted to make sure each shelf
had the same number of movies how many more movies would he need?
He may keep 82 movies on each shelf, using up to 492 movies and leaving 3 movies to retain.
What is arithmetic operation?Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on. Arithmetic operators carry out operations on numbers. Variables are assigned values using assignment operators. Logical operators compare two values and return either "true" or "false" depending on whether the comparison is true (or false).
Here,
Movies that movie store has=495 movies
Number of shelves=6
If the owner wanted to make sure each shelf had the same number of movies,
=495/6
=82.5
He can keep 82 movies in each shelf that will use up to 492 movies and 3 movies will be left to keep.
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A balloon was originally filled to a volume of 4,400 cubic centimeters. Air inside the balloon leaks out over time.
Write an inequality that describes V, the volume of the balloon in cubic centimeters as air leaks out.
Enter your inequality without a thousands separator.
The inequality expression of the volume of the balloon is V < 4,400
How to determine the inequality expression?From the question, we have the following statement:
The initial volume of the balloon is 4,400 cubic centimeters
Also, we understand that:
The balloon leaks out over time
This means that the volume of air in the balloon decreases over time.
So, we have the following representation
V = Less than the initial volume
Rewrite as
V < 4400
Hence, the volume of the balloon at any time after it starts leaking is V < 4,400
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If you are standing 23 m for a tree and the angle of elevation from where your standing is 35° what is the height of the tree?
Step-by-step explanation:
angLe of elevation= 35°distance from the tree=23mtantither= opp/adj opp=heightadj= 23mtither=35°tan 35=H/230.7002=H/23H=23×0.7002H=16.10mGiven p=q=0
, what is the equation of the line that passes through the points (–p, –q) and (p, q)?
y = –x
y = q
y = 2x + (2p – q)
Equation of the line which passes through the given points (-p ,-q) and
(p, q) where p ≠ q ≠ 0 is given by y = (q/p)x.
As given in the question,
Given condition is :
p ≠ q ≠ 0
Equation of the line which passes through the given points (-p ,-q) and
(p, q) is given by:
(x₁ , y₁) = (-p ,-q)
(x₂ , y₂) = (p, q)
(y -y₁)/ (x -x₁) = (y₂ -y₁)/ (x₂ -x₁)
⇒(y +q)/(x+ p) = (q +q)/(p +p)
⇒(y +q)/ (x +p) = 2q /2p
⇒p(y+ q) =q( x +p)
⇒yp + pq = qx +pq
⇒yp = xq
⇒y = (q /p)x
Therefore, equation of the line which passes through the given points (-p ,-q) and (p, q) where p ≠ q ≠ 0 is given by y = (q/p)x.
The complete question is :
Given p ≠ q ≠ 0, what is the equation of the line that passes through the points (–p, –q) and (p, q)?
A. y = –x
B. y = q/px
C. y = q
D. y = 2x + (2p – q)
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Answer:
b
Step-by-step explanation:
just did it
what does it mean for a sample to have a standard deviation of zero? describe the scores in such a sample. when standard deviation is zero, no two scores are exactly the same. when standard deviation is zero, you cannot measure variability. when standard deviation is zero, the scores have no variability. when standard deviation is zero, there are no data points in the sample.
A sample to have a standard deviation of zero means the score has no variability.
When the score has no variability it points towards the standard deviation being zero, This is the case where all the scores in the sample have the exact same value. This means there is no spread in the data set at all. The data set is combined in a single clumped value. Since there is only one value it would be the mean of the data set. The standard deviation measures the spread of a quantitative data set. This number cannot be a non-negative real number.
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Add the proper constant to the binomial so that the resulting trinomial is a perfect square. Then factor the trinomial.
n-18n+
We need to add 81 as the constant term to the binomial (n² - 18n) so that the resulting trinomial is a perfect square, and factorization of that resulting trinomial will be (n - 9).
As per the question statement, we are provided with a binomial (n² - 18n),
And we are required to add a proper constant to the above mentioned binomial so that the resulting trinomial is a perfect square, and then factorise the resulting trinomial.
To answer question, first we need to know the standard form of expanding a perfect square into a trinomial, which goes as,
[(a - b)² = {(a)² + (b)² - (2 * a * b)]
Here, if we compare our concerned binomial (n² - 18n), or, [(n)² - (2 * n * 9)], with the above mentioned standard expansion of a perfect square into a trinomial, we get, (a = n) and (b = 9), and the (b²) term is missing.
Adding [(b²) = (9²) = 81] which is a constant term, to our concerned binomial (n² - 18n), we get, (n² - 18n + 81),
Or, [(n)² + (9)² + (2 * n * 9)],
Which is a trinomial and matches with the standard expansion of a perfect square into a trinomial, and hence,
[(n² - 18n + 81) = (n - 9)²]
That is, we need to add 81 as the constant term to the binomial (n² - 18n) so that the resulting trinomial is a perfect square, and factorization of that resulting trinomial will be (n - 9).
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Mrs. Ferrell spent 40 minutes grading tests. That was 80% of the total number of minutes she
spent grading.
How many minutes did she spend grading?
Answer:
50 mins
Step-by-step explanation:
80 percent=40 mins
100 percent=50 mins
Elliot makes and sells key chains. His profit depends on what price he charges for a
key chain.
He writes the expression (x - 10) (60 - 3x) to represent his profit based on the
price per key chain, x.
Enter Elliot's average change in profit for two different sections of the graph.
When charging $15 for a key chain, it is discovered that his maximum profit is $75 using the vertex of the quadratic function.
The vertex of a quadratic equation,
A quadratic equation is given by, [tex]ax^{2} +bx +c[/tex]
The vertex is given by [tex]A (x_{1} ,y_{1} )[/tex]
[tex]x_{1} = \frac{-b}{2a}\\ \\y_{1} = \frac{-b^{2} +4ac }{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.
If a > 0, it will be a minimum point.
The function given is (x -10 ) (60 -3x)
f(x) = (x -10 ) (60 -3x) = 60x -3[tex]x^{2}[/tex] -600 +30x = -3[tex]x^{2}[/tex] +90x -600
So, here a = -3, b = 90 and c = -600
So,
[tex]x_{1} = \frac{-b}{2a}\\ \\x_{1} = \frac{-90}{2*(-3)} = 15[/tex]
[tex]y_{1} = \frac{-b^{2} +4ac }{4a} = \frac{(-90)^{2} + 4*(-3)*(-600) }{4*(-3)} = 75[/tex]
Hence, He can make up to $75 in profit when he charges $15 for a key chain.
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The graph of y=f(x) is drawn on the grid.
a) Write down the coordinates of the turning point of the graph. (1)
b) Write down the roots of f(x) = 0
c) Use the graph to find an estimate for f(2.5)
The solution to the points are:
Turning point: (1, -3.2)Root: (-1, 0) and (3, 0)Estimate of f(2.5) is -1.4The coordinates of the turning pointThis is the point where the curve or curves of the graph changes direction.
In this case, the turning point in the vertex
The graph has its vertex at (1, -3.2)
This means that
Turning point = (1, -3.2)
The roots of the functionThis is the point where the curve or curves of the graph touches the x-axis i.e. f(x) = 0
In this case, the points are: (-1, 0) and (3, 0)
This means that
The roots are (-1, 0) and (3, 0)
The estimate of f(2.5)This is the point where the curve or curves of the graph passes through x = 2.5
In this case, the points are: (2.5, -1.4)
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Please help thank u! I would appreciate it ASAP
Answer:
Step-by-step explanation:
can’t be determined
Question content area top
Part 1
The dot plot shows predictions for the winning time in the 200-meter sprint. The winner finished the race in 22.4 seconds. What is the greatest percent error among the predictions?
The greatest percent error among the predictions is of:
2.23%.
How to obtain the percent error of a measure?The percent error of a measure is obtained by the division of the difference between the actual value and the estimated value by the actual value, and multiplied by 100%, hence the equation is:
Percent error = |Actual - Estimate|/Actual x 100%.
From the given dot plot, we have that the farthest measure from 22.4 seconds is of 22.9 seconds.
The difference between the actual time and the estimate time is of:
22.9 seconds - 22.4 seconds = 0.5 seconds.
Applying the presented division, the percent error is given as follows:
Percent error = 0.5/22.4 x 100% = 2.23%.
Missing InformationThe dot plot is given by the image at the end of the answer.
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rocio is covering the curved surface of a cylindrical podium in wallpaper. the podium is 1.2 meters tall and has a diameter of 0.26 meters. about how much wallpaper does rocio need? a. b. c. d.
The area of wallpaper required is 0.98 [tex]m^{2}[/tex]
What is mensuration ?Mensuration is a division of mathematics that studies geometric figure calculation and its parameters such as area, length, volume, lateral surface area, surface area, etc. It outlines the principles of calculation and discusses all the essential equations and properties of various geometric shapes and figures.
Mensuration is a subject of geometry. Mensuration deals with the size, region, and density of different forms both 2D and 3D. Now, in the introduction to Mensuration, let’s think about 2D and 3D forms and the distinction between them.
Calculationd = 0.26m
h = 1.2m
s = pi * d * h
= 0.98 square meter
the area of wallpaper required is 0.98 [tex]m^{2}[/tex]
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Answer:
0.98 m²
Step-by-step explanation:
I got it right hope this helps.
Given the relation {(3,4),(-2,1),(0,6),
(5,-3)), what is the domain of the
relation? Pls help I’m stressing out about it and ik i SHOULDN’T but I can’t help it tbh
Answer:
I think that the answer is going to be 34-21+6=19
help meeeeeeeeeeeeeee pleaseee
The vertex of the curve will be at (-2, -4) and the axis of symmetry is at -2
How to illustrate tye information?From the graph, the roots of the equation are -4 and 0, therefore, (x + 4) is a factor and x is also a a factor.
The equation of the curve is the product of the factors of the curve which is y = x(x + 4)
y = + 4x
The x coordinate of the vertex =
will be illustrated as:
-b/2a = axis of symmetry
a and b is the coefficient of x
so a = 1, b = 4
x coordinate of vertex = -4/2 = -2
Then, substitute x = -2 into y = + 4x to find the y-coordinate of the vertex
y = (-2)² + 4(-2)
y = 4 -8
y = -4
vertex = (-2, -4)
The axis of symmetry is -b/2a which is -2
Therefore, the vertex is at (-2, -4).
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Miguel's class just held a class election. 70% of the 30 students in the class voted. How many students voted?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{70\% of 30}}{\left( \cfrac{70}{100} \right)30}\implies 21[/tex]
Answer: 21
Step-by-step explanation:
70% of 30 students is 21
Hope this helped :)
What is the slope of the line passing through the points A(−2,5) and B(1,10)
Answer:
Slope is equal to the change in y y over the change in x x, or rise over run. m = change in y change in x m = change in y change in x. The change in x x is equal to the difference in x-coordinates (also called run ), and the change in y y is equal to the difference in y-coordinates (also called rise ). m = y2 −y1 x2 −x1 m = y 2 - y 1 x 2 - x 1.
represent the following expressions as a power of the number a (a≠0) (a^-1xa^-2)^-3
The solution of the exponential expression will be a⁹.
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied.
Given exponential expression is (a⁻¹ x a⁻²)⁻³. The expression will be solved as below,
E = (a⁻¹ x a⁻²)⁻³
The base is the same and the variables are in multiplication with powers then the powers will be added,
E = (a⁻³)⁻³
E = a⁹
Therefore, the solution of the exponential expression will be a⁹.
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someone please help me im begging u for points
The solution of the algebraic equation is x = -2. The proof is elaborated below.
The algebraic equation given to us is 14(x + 1) = -7(4 + x). An equation is a mathematical statement that proves the equality of two mathematical expressions. The first step is to simplify the brackets. The equation becomes 14x + 14 = -28 - 7x. Now, we will add 7x to both sides of the equation. The equation is modified as 21x + 14 = -28. Now, we will subtract 14 from both sides of the equation. The equation is modified as 21x = -42. Now, we will divide both sides of the equation by 21. The equation is modified as x = -2.
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What is the y-intercept of the function y = log4 (2x+64) +3?
Answer:
(0, 6)
Step-by-step explanation:
Given function:
[tex]y=\log_4(2x+64)+3[/tex]
The y-intercept of a function is the point at which the curve crosses the y-axis, so when x = 0.
Therefore, to find the y-intercept, substitute x = 0 into the function:
[tex]\implies y=\log_4(2(0)+64)+3[/tex]
[tex]\implies y=\log_4(64)+3[/tex]
Rewrite 64 as 4³:
[tex]\implies y=\log_4(4)^3+3[/tex]
[tex]\textsf{Apply the log power law}: \quad \log_ax^n=n\log_ax[/tex]
[tex]\implies y=3\log_4(4)+3[/tex]
[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]
[tex]\implies y=3(1)+3[/tex]
[tex]\implies y=3+3[/tex]
[tex]\implies y=6[/tex]
Therefore, the y-intercept of the given function is (0, 6).
pls send the correct answer
Centriod!
A centroid is also known as the centre of gravity.
Hope this answers your question!
Answer: centroid
Step-by-step explanation:
the rabbit population in a certain area is 200%of last years population. There are 700 rabbits this year how many were there last year
Answer:
the answer is 350
Step-by-step explanation:
if it increased by 200% that means it doubled
so when x is doubled we get 700
so: 2x=700
x=700/2
x=350
parameters are group of answer choices numerical characteristics of a sample. numerical characteristics of a population. the averages taken from a sample. numerical characteristics of either a sample or a population.
The correct answer is Option B. Parameters are defined as a group of numerical characteristics of a population.
Parameters are generally the numbers or values that represent the whole population's numerical characteristics. There is a difference between Statistics and Parameters.
Statistics is generally defined as the numerical characteristics of a sample. For example, a sample of standard mean or a sample of standard deviation is an example of statistics.
Parameters are the numerical representation of the characteristics of a population. For example, Population mean or Population standard deviation are examples of Parameters. These represent the data or the characteristics of the population in numerical.
Hence, the correct answer is Option B.
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The correct answer is Parameters are described as a group of numerical characteristics of a population.
In general, Parameters are the numerical values that represent the entire population's numerical characteristics. There is a variation between Statistics and Parameters. Statistics are defined as the numerical characteristics of a sample. A sample of standard mean deviation or a sample of standard deviation are examples of statistics.
Parameters are the numerical portrayal of the characteristics of a population. Population mean deviation or Population standard deviation are examples of Parameters. These depict the information or the characteristics of the population in a numerical way.
Hence, the correct answer is Parameters are described as a group of numerical characteristics of a population.
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using the formula for calculating the number of communication channels, how many channels would five people require?
The number of communication channels, 10 channels would five people require.
To find number of communication channels, we use;
On the other hand, it might be a sign of the scope and intensity of the project communication management needed in huge projects and so-called megaprojects. This could, for example, entail allocating specific resources to project communication responsibilities in accordance to the number of available channels for communication. These factors may be especially important for teams working on sensitive projects and projects where information flow may be unclear or even fraudulent.
Number of potential communication channels = n x (n-1)/2
Given n = 5;
→ x = 5*(5 - 1)/2
= 5*2
= 10
The number of communication channels, 10 channels would five people require.
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Select the correct answer. A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?
The expected value of a player's winnings on each roll is equal to: D. $30.00
How to determine expected value of a player's winnings on each roll?In order to determine the expected value of a player's winnings on each roll, we would list all of the outcomes that are associated with rolling a fair six-sided die.
By rolling a fair six-sided die, we would obtain the following outcomes:
Outcomes = 1, 2, 3, 4, 5, and 6.
Generally speaking, there are only two (2) numbers that are multiples of three (3) in a fair six-sided die and these include the following:
Multiples of three (3) = 3 and 6
When a player rolls a three (3), the player's possible winning is giving by:
Player's winning = 3 × 20 = $60
When a player rolls a three (3), the player's possible winning is giving by:
Player's winning = 6 × 20 = $120
Total winnings = $60 + $120
Total winnings = $180
Now, we can determine the expected value of a player's winnings on each roll:
Expected value = 1/6 × 180
Expected value = $30.
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Complete Question:
A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?
A. $3.33
B. $6.66
C. $8.50
D. $30.00
E. $40.00
Use the information given to enter an equation in standard form.
Slope is 6, and (1, 8) is on the line.
Answer:
y=6x+2
Step-by-step explanation:
y=mx+c
8=6(1)+c
8=6+c
c=2
y=6x+2
Decide if each question is statistical or nonstatistical.
How many hours did Rahul sleep last night?
What is your favorite sport?
What is Noya’s favorite book?
How far away do you live from your school?
Based on the information illustrated, the analysis implies the following:
a. nonstatistical.
b. statistical.
c. nonstatistical
d. statistical
What is a statistical question?A statistical question is one that can be answered by collecting varying amounts of data. A statistical question is one that does not have a single answer. Instead, you should expect a range of responses.
Identifying a statistical question necessitates knowledge of statistics. Statistics is a mathematical study that involves the collection, analysis, and interpretation of changing data. A statistical question will ask a question with a variable answer; data must be collected and analyzed, and the answer will provide an explanation of the information.
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statistical or nonstatistical What's the difference? is that statistical is of or pertaining to statistics while nonstatistical is not statistical.
Statistical sampling is more objective and uses probability to determine the appropriate sample size. While it is does not eliminate sampling risk, statistical sampling allows the auditor to measure sampling risk and take steps to control it. Nonstatistical sampling relies more on the auditor's judgment.
Thus, the correct answer is nonstatistical statistical nonstatistical statistical
The mass of 1cm³. of copper is 8.5 grams. Correct to 1.d.p. Complete statement about total mass, T, grams of 12cm³. of copper.
There are 102 grams of copper in 12 cm³ of copper.
What are unit rate?A unit rate means a rate for one of something.
Given that 1 cm³ of copper have mass of 8.5 grams
Therefore, 12 cm³ = 12*8.5 = 102 grams
Hence, There are 102 grams of copper in 12 cm³ of copper.
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seven new employees, two of whom are married to each other, are to be assigned seven desks that are lined up in a row. if the assignment of employees to desks is made randomly, what is the probability that the married couple will have adjacent desks? (round your answer to the nearest tenth of a percent.) the probability that the couple has adjacent desks is %. what is the probability that the married couple will have nonadjacent desks? (round your answer to the nearest tenth of a percent.) the probability that the couple has nonadjacent desks is
The probability that the married couple will have adjacent desks is 0.2857and the probability that the married couple will have non-adjacent desks is 0.7143.
Probability is synonymous with potential. It is a branch of mathematics that studies the occurrence of a random event. The number ranges from 0 to 1. In mathematics, probability has been introduced to predict how likely events are to occur.
Given that
Of 7 new employees, 2 employees are married to each other; these 7 employees are to be assigned 7 desks that are lined up in a row.
If the assignment of the employees to the desks is made randomly, we have to find the probability that the married couple will have adjacent desks and will have non-adjacent desks.
Now, the event that the couple has non-adjacent desks is the complement of the event that they have adjacent desks.
Now, first, let us determine in how many ways can the couple have adjacent desks.
Let us consider the married couple as a single entity, that always stays together.
Then, in total, there are 6 entities; 5 non-related employees and 1 married couple.
Now, these 6 can be arranged among themselves in 6! number of ways.
The married couple can have adjacent desks in 2! ways.
So, the favorable number of cases, in which the couple has adjacent desks, is 6!*2!.
Again, 7 employees can be assigned desks in 7! number of possible ways.
That is, the number of all possible cases is 7!.
This means that
P(The couple has adjacent desks)
=6!*2!/7!
=0.2857.
Now,
P(The couple will have non-adjacent desks)
=1-P(The couple will have adjacent desks)
=1-0.2857
=0.7143
Therefore the probability that the married couple will have adjacent desks is 0.2857and the probability that the married couple will have non-adjacent desks is 0.7143.
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