The line of best-fit that represents the relationship between velocity and time is:
v = 2.19t + 6.7.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (t,v) are given as follows:
(0, 6.1), (2.1, 12.2), (5.3, 17.4), (8.2, 26.4), (10, 28.1), (12.1, 32.8).
Hence, inserting these points into a calculator, the equation is given by:
v = 2.19t + 6.7.
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When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return what?
When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.
About Binary Search Algorithm
The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.
The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.
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25 Points + BRANIEST. PLEASE HELP
Answer:
sorry I don't know please forgive because I can't copy the question
PLEASE HELP ME! THE QUESTION IS DOWN BELOW PLEASE PLEASE HELP ME
The given expression (8h + 2w - 5h + 3w) can fully be simplified as 3h + 5w.
What is an expression?An expression can be defined as a type of mathematical equation which is used to show the relationship that is existing between two or more variables and numerical quantities (integers).
In this exercise, you're required to fully simplify the given expression in the lowest terms. Thus, we would simplify the given expression completely by collecting like terms and performing the necessary arithmetic operations (addition and subtraction) as follows:
Collecting like terms, we have:
8h - 5h + 3w + 2w
Subtracting and adding the like terms respectively, we have:
3h + 5w.
In conclusion, we can logically deduce that the given expression (8h + 2w - 5h + 3w) can fully be simplified as 3h + 5w.
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Complete Question:
Fully simplify 8h + 2w - 5h + 3w.
Diameter 2
Find the area of the shape
Answer:
pi or 1 pi
Step-by-step explanation:
Area = 1/4 * pi * r^2 (because it is 1/4 of a full circle)
1/4 * pi * 2^2 (the radius is 2 because it is given in the picture)
1/4 * pi * 4 = 1 pi
area = pi
hope this helps! <3
Humood's house is (-5,7)
The school is (3,1)
If each unit in the graph is 50m, find the distance from Humood's house to the school.
The distance from Humood's house to the school is 500m
How to determine the distance from Humood's house to the school?The given parameters are:
Humood's house is (-5,7)
The school is (3,1)
The distance between both points is calculated using
[tex]d = \sqrt{(x_2- x_1)^2 + (y_2 - y_1)^2[/tex]
Substitute the known values in the above equation
[tex]d = \sqrt{(-5 - 3)^2 + (7 - 1)^2[/tex]
Evaluate
d = 10
Each unit in the graph is 50m.
So, we have
Distance =10 * 50m
Evaluate the product
Distance = 500m
Hence, the distance from Humood's house to the school is 500m
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where should i place the points!! help please
Find the surface area of the composite figure.
8 cm
6 cm
7 cm
8 cm
SA =
6 cm
[?] cm²
9 cm
6 cm
Answer:
382 cm²
Step-by-step explanation:
Front face + Back face:
A = 2(a + b)h/2
A = 2(14 cm + 8 cm)(7 cm)/2
A = 154 cm²
Left face:
A = 7 cm × 6 cm = 42 cm²
Right face:
A = 9 cm × 6 cm = 54 cm²
Bottom face:
A = 14 cm × 6 cm = 84 cm²
Top face:
A = 6 cm × 8 cm = 48 cm²
Total surface area =
= (154 + 42 + 54 + 84 + 40) cm²
= 382 cm²
Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?
The triangle is a right triangle because 52 + 122 = 132.
The triangle is a right triangle because 5 + 13 > 12.
The triangle is not a right triangle because 52 + 132 > 122.
The triangle is not a right triangle because 5 + 12 > 13.
9
Answer:
the triangle is a right angle triangle. I can't see the correct explanation here so I will explain
Step-by-step explanation:
to work out whether triangles are right angle you do :
square root of (5² + 12²) so it would be 25 + 144 =169 and the square root of 169 is 13 . we do this because the square root of both of the side lengths squares should make ths longer side in this case it makes 13 so it is a right angled triangled
i hope this helps . if you need any more help pls ask :)
The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic.
A two column table with five rows. The first column, Number of People, has the entries, 6, 9, 12, 15. The second column, Total Cost in dollars, has the entries, 52, 58, 64, 70.
Which statements about the function described by the table are true? Check all that apply.
The independent variable is the number of people.
The initial value (initial fee) for the picnic is $40.
The rate of change is $8.67 per person.
As the number of people increases, the total cost of the picnic increases.
If 4 people attended the picnic, the total cost would be $46.
The true statements are:
The independent variable is the number of people.The rate of change is $8.67 per person.As the number of people increases, the total cost of the picnic increases.What are the true statements?The independent variable is the variable that determines the value of the dependent variable. There is a positive relationship between the number of people at the picnic and the total cost. This is because it can be seen as the number of people at the picnic increases, the total cost changes.
Rate of change = total cost / number of people
$52 / 6 = $8.67
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Answer:
A, B, D
Step-by-step explanation:
right on edge
Which of the following is equivalent to 1/log3(m)
Answer: A
Step-by-step explanation:
We can rewrite the expression as
[tex]\frac{\log_{3} 3}{\log_{3} m}[/tex]
Using the change of base formula, we get [tex]\log_{m} 3\[/tex]
Evaluate the surface integral. s y ds s is the surface z = 2 3 x3/2 y3/2 , 0 ≤ x ≤ 4, 0 ≤ y ≤ 1
The surface integral of the given surface [tex]z=\frac{2}{3}(x^\frac{3}{2}+y^\frac{3}{2})[/tex] in the intervals 0 ≤ x ≤ 4, 0 ≤ y ≤ 1 is 7.36615.
How to evaluate the surface integral?To evaluate the surface integral, the formula applied is
[tex]S=\int\limits^b_a\int\limits^d_c {f(x,y)} \ dy\ dx[/tex]
⇒ S = [tex]\int\limits^b_a \int\limits^d_c {\sqrt{1+(\frac{dz}{dx})^2+(\frac{dz}{dy})^2 } } \, dy \, dx[/tex]
Where the differentiation is partial differentiation and f(x, y) = z.
Calculation:The given function is
f(x, y) = [tex]z=\frac{2}{3}(x^\frac{3}{2}+y^\frac{3}{2})[/tex]
Then, applying the partial differentiation w.r.t x and y respectively,
dz/dx = [tex]\frac{2}{3}(\frac{3}{2})x^{1/2}[/tex] = [tex]x^{1/2}[/tex]
dz/dy = [tex]\frac{2}{3}(\frac{3}{2})y^{1/2}[/tex] = [tex]y^{1/2}[/tex]
Then,
we have surface integral formula as
S = [tex]\int\limits^b_a \int\limits^d_c {\sqrt{1+(\frac{dz}{dx})^2+(\frac{dz}{dy})^2 } } \, dy \, dx[/tex]
On substituting,
⇒ S = [tex]\int\limits^4_0 {\int\limits^1_0 {\sqrt{1+(x^{1/2})^2+(y^{1/2})^2} \, dy } \, dx[/tex]
⇒ S = [tex]\int\limits^4_0 {\int\limits^1_0 {\sqrt{1+x+y} \, dy } \, dx[/tex]
On integrating w.r.t y
⇒ S = [tex]\int\limits^4_0 {\frac{2}{3}(1+x+y)^{3/2}} \,|_0^1 dx[/tex]
Applying limits,
⇒ S = [tex]\int\limits^4_0 {\frac{2}{3}[(1+x+1)^{3/2}-(1+x+0)^{3/2} } \, dx[/tex]
⇒ S = [tex]\frac{2}{3} \int\limits^4_0 {[(x+2)^{3/2}-(x+1)^{3/2}}] \, dx[/tex]
Again applying the integration w.r.t x
⇒ S = [tex]\frac{2}{3}[\frac{2}{5}(x+2)^{5/2}-\frac{2}{5}(x+1)^{5/2}]|_0^4[/tex]
Applying the limits and simplifying,
⇒ S = [tex]\frac{4}{15}[(4+2)^{5/2}-(4+1)^{5/2}-(0+2)^{5/2}+(0+1)^{5/2}][/tex]
⇒ S = [tex]\frac{4}{15}[1+36\sqrt{6}-25\sqrt{5}-4\sqrt{2}][/tex]
∴ S = 7.36615
Therefore, the surface integral of the given function is 7.36615.
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PLEASE HELP and EXPLAIN I will mark the brainliest if two people type the answer I will choose the best.
Answer:
C
Step-by-step explanation:
Let's review some sets of numbers.
Natural numbers: 1, 2, 3, 4, ...
The natural numbers are the counting numbers. You normally start counting with 1, not 0, and you only count whole numbers.
Whole numbers: 0, 1, 2, 3, 4, 5, ...
The whole numbers are the counting numbers with the addition of zero. There are no negative numbers in the whole numbers.
Integers: ..., -3, -2, -1, 0, 1, 2, 3, ...
The integers are the natural numbers, plus zero, plus the negatives of the natural numbers. All numbers are whole with no decimal part.
Rational numbers
The rational numbers are all numbers that can be written as a fraction of integers. For example, 1 can be written as 3/3, so 1 is a rational number. All natural numbers, whole numbers, and integers are rational numbers. Other rational numbers are numbers that are not whole, such as 2.5, 7/8, 1/4, etc. These numbers can be written as fractions of integers. Rational numbers written as decimal numbers will either be an integer, a terminating decimal, or a non-terminating, repeating decimal.
Up to here, each new set includes the previous set.
Now things change. If a number is rational, it is not irrational.
If a number is irrational, it is not rational.
Irrational numbers
Irrational numbers are always non-terminating, non-repeating decimals. They cannot be written as fractions of integers. Examples: √2, π
Now let's look at this problem.
We have a negative decimal number. The bar above the 12 means the digits 12 are repeating. This number can also be written as -0.121212...
Since our number is a non-terminating, repeating decimal, it is a rational number.
Answer: C
Compare and contrast expanding and simplifying algebraic expressions with simplifying numeric expressions. for example, compare simplifying 3(x – 2) (x – 1) with 3(5 – 2) (5 – 1).
The expression for 3(5 - 2) + (5 - 1) is 13.
What does it mean to simplify numerical expressions?Solving a math problem is the same thing as simplifying an expression. You strive to write an expression as simply as you can when you simplify it. In conclusion, there shouldn't be any more multiplying, dividing, adding, or removing.For instance, if someone claims that x + 2 - 3 + 8 = 11 is a mathematical equation, you have to refute it.Given: 3(x-2) + (x-1)
3x-3(2)+x-1
3x - 6 + x - 1
Compared 3(x -2) + (x - 1) with 3(5 - 2) + (5 - 1), the value of x is 5.
Substitute x = 5 into the result
3x - 6 + x - 1
3(5) - 6 + 5 - 1
15 - 1 - 1
15 - 2 = 13
The expression for 3(5 - 2) + (5 - 1) is 13.
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Answer:
With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.
Step-by-step explanation:
had it correct in edg
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When
graphed, the function gives a line with a slope of 1.45. See the figure below.
If the monthly cost for 22 HCF is $44.50, what is the monthly cost for 16 HCF?
?
Answer:
I hope that you are doing well, during this weird time; and that this message finds you in a good place.
To get you started on this problem, you will want to think about how to go about graphing this linear function. You want to keep in mind that you want to plot your dependent variable on the y-axis, as it changes with respect to your independent variable (plotted on the x-axis). In this problem, the cost of the water bill depends on the amount of water used, in HCF. So the graph should be plotted with cost on the y-axis, and HCF on the x-axis.
It follows that you are given the coordinates of (16, $48.37) and (22, y2); where y2 represents the cost when using 22 HCF. You are also given the slope of your line (m, in y = mx + b format). You may recall that you can set-up a slope as the change in y over the change in x, or the "rise over the run" [m = (y2-y1) / (x2-x1)]. We can set this problem up, using this equation to solve for y2 (the cost at 22 HCF) algebraically.
So we would set up the problem as 1.65 = (y2-48.37)/(22-16). We then solve by combining like-terms and using inverse operations as follows:
1.65 = (y2 - 48.37) / 6
1.65(6) = y2 - 48.37
9.9 = y2 - 48.37
y2 = $58.27
Step-by-step explanation:
1)Find the L.C.Mof the following set of numbers by prime factorization method:
a)6 and 9
b)16 and 24
c)24,48 and 64
2)Find L.C.M of the following set of numbers by division method:
a)6 and 15
b)25,30 and 75
Note: Answer must have proper explanation
Answer:
a) 18
b) 48
c) 192
a) 30
b) 150
Step-by-step explanation:
Answer:
1
a ) 18
b ) 48
c ) 144
2
a ) 30
b ) 150..
[tex]...[/tex]
can someone help me with this?
Answer:
Step-by-step explanation:
Beatrice's conclusion is wrong
All of these points are not on the same line, because are different parallel lines
The slope between (-2,-1) and (1,0) is equal to 1/2
Answer:
Beatrice is incorrect. All of these points are not on the same line because the slope between (-2,-1) and (1,0) which are coordinates fr each of the pairs above, are equal to 1/2
Step-by-step explanation:
Let m1 be first slope
[tex]m1 \: = \frac{y2 - y1}{x2 - x1}= \frac{0 - ( - 2)}{4 - ( - 2)}= \frac{0 + 2}{4 + 2} \\ = \frac{2}{4} = \frac{1}{2} [/tex]
Let m2 be second slope
m2 = (y2 - y1)/ (x2 - x1)
= (2-(-1)) / (4-(-2)
= (2+1) / (4+2)
= 3/6 =1/2
Thus, the slopes are different parallel lines because m1 =m2
how many terms are there in the series 7+21+15+19+.....+79?
anybody can answer these .
Answer:
7+21+15+19+.....+79
Here 21 be replaced by 11.
Now., common diffrence btw terms , d = 11-7 = 4
first term , a = 7
Last term , l = 79
number of terms = ( a + l ) ÷ d
=( 7 + 79 ) ÷ 4 = 86 ÷ 4 = 21.5 { It cannot be in decimal }
There's some mistake in the terms you provided please check your question again...
Find the absolute maximum and minimum values of f on the set d. f(x, y) = xy2 7, d = {(x, y) | x ≥ 0, y ≥ 0, x2 y2 ≤ 3}
Assuming you mean [tex]f(x,y) = xy^2[/tex] over the domain
[tex]D = \left\{(x,y) ~:~ x\ge0 \text{ and } y\ge0 \text{ and } x^2 + y^2 \le 3\right\}[/tex]
we first observe that [tex]f(x,y) = 0[/tex] for all [tex](x,y)[/tex] on the coordinate axes.
There are no critical points elsewhere in the interior of [tex]D[/tex], since
[tex]\dfrac{\partial f}{\partial x} = y^2 = 0 \implies y=0[/tex]
[tex]\dfrac{\partial f}{\partial y} = 2xy = 0 \implies x = 0 \text{ or } y = 0[/tex]
Parameterize the circular arc boundary by [tex]x=\sqrt3\cos(t)[/tex] and [tex]y=\sqrt3\sin(t)[/tex], where [tex]0\le t\le\frac\pi2[/tex]. Then
[tex]f(x(t), y(t)) = g(t) = 3\sqrt3 \cos(t) \sin^2(t) = 3\sqrt 3 (\cos(t) - \cos^3(t))[/tex]
Find the critical points of [tex]g[/tex].
[tex]g'(t) = -3\sqrt3 \sin(t) + 9\sqrt3 \cos^2(t) \sin(t) = 0[/tex]
[tex]-3 \sin(t) (1 - 3 \cos^2(t)) = 0[/tex]
[tex]\sin(t) = 0 \text{ or } 1 - 3 \cos^2(t) = 0[/tex]
[tex]\sin(t) = 0 \text{ or } \cos^2(t) = \dfrac13[/tex]
[tex]\sin(t) = 0 \text{ or } \cos(t) = \pm\dfrac1{\sqrt3}[/tex]
In the first case, we get
[tex]t = \sin^{-1}(0) + 2n\pi \text{ or } t = \pi - \sin^{-1}(0) + 2n\pi[/tex]
where [tex]n[/tex] is an integer; the only solution on the boundary of [tex]D[/tex] is [tex]t=0[/tex] corresponding to the point [tex](\sqrt3,0)[/tex].
In the second case, we get
[tex]t = \cos^{-1}\left(\dfrac1{\sqrt3}\right) + 2n\pi \text{ or } t = -\cos^{-1}\left(\dfrac1{\sqrt3}\right) + 2n\pi[/tex]
with only one relevant solution at [tex]t=\cos^{-1}\left(\frac1{\sqrt3}\right)[/tex] corresponding to [tex](1,\sqrt2)[/tex].
In the third case, we get
[tex]t = \cos^{-1}\left(-\dfrac1{\sqrt3}\right) + 2n\pi \text{ or } t = -\cos^{-1}\left(\dfrac1{\sqrt3}\right) + 2n\pi[/tex]
but there is no [tex]t[/tex] in this family of solutions such that [tex]0\le t\le\frac\pi2[/tex].
So, we find
[tex]\min\left\{xy^2 \mid (x,y) \in D\right\} = 0 \text{ at } (0,0)[/tex]
(but really any point on either axis works)
[tex]\max \left\{xy^2 \mid (x,y) \in D\right\} = 2 \text{ at } (1,\sqrt2)[/tex]
Explanation to :an insurance agent is paid a salary of gh200 and a commission of 3% on all sales over gh2000 per month. if his total income in a particular month was gh530, what was the amount of his sales for that month
GH 13000 is the amount of his sales for that month.
how to find sales of the month?
total income = salary + commission
total income = GH530 (given)
salary = GH200 (given)
Commission is 3% on the sales above Gh2000 (given)
Let sales be x
total income = salary + commission
530 = 200+3%(x-2000)
530-200=0.03(x-2000)
330/.03=x-2000
11000=x-2000
x= 13000
total sales = GH13000
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Nelly works part-time in a shop to
cover her university expenses.
The table below shows how many
hours she worked each day last week.
Hours worked
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
3½
5
2½
4
25
Nelly's weekly pay is worked out
as follows: Monday to Friday
• £8 per hour for the first 15 hours
• £10 per hour for any extra hours
Saturday
.
• double the normal rate of £8 per hour
Work out Nelly's total pay for last week?
You must show all your working.
Using proportions, Nelly's total pay for last week was of £220.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
From Monday to Friday, she worked 17 hours, hence:
For 15 hours, she was paid £8 per hour.For the last 2 hours, she was paid £10 per hour.On Saturday, she worked 5 hours, and was paid £16 per hour.
Hence her total payment is found as follows:
15 x 8 + 2 x 10 + 5 x 16 = £220.
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You have $25 and want to buy some ice
cream sandwiches that cost $1.25 each.
How many can you buy?
Which type of sediment deposit has an average rate of deposition (per 1000 years) of 1 centimeter (0.4 inch)?
The sediment deposit that has an average rate of deposition
(per 1000 years) of 1 centimeter is bigenous ooze,pelagic deposit.
Given that average rate of deposition is per 1000 years of 1 centimeter.
We are required to find the type of sediment deposit that has an average rate of deposition (per 1000 years) of 1 centimeter.
Biogenic ooze, which is also called biogenic sediment, is any pelagic segment that contains more than 30 percent skeletal material. These sediments can be made up of either carbonate ooze or siliceous ooze.
In plagic sediments feldspar is obtained from local volcanic sources, whereas quartz may be introduced from the continents by wind,upsetting simple patterns.A large number of accessory minerals occur in shales.
Hence if the sediment deposit that has an average rate of deposition
(per 1000 years) of 1 centimeter is bigenous ooze,pelagic deposit.
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Which graph represents (y-3)^2/25 + (x+1)^2/4 > 1 and y <= square root{x+5}+2
Answer:
B. the second graph.
Step-by-step explanation:
Literally the photo is on the question.
Second graph represents (y-3)²/25 + (x+1)²/4 > 1 and y <= square root{x+5}+2. Therefore, the correct option is option B.
What is graph?The study of graphs, that are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. In this sense, a network consists of vertices, also known as nodes or points, linked by edges, also known as links or lines.
Undirected graphs, in which edges connect two vertices symmetrically, are distinguished from directed graphs, in which edges connect two vertices asymmetrically. One of the main topics that are investigated in discrete mathematics is graphs. Second graph represents (y-3)²/25 + (x+1)²/4 > 1 and y <= square root{x+5}+2.
Therefore, the correct option is option B.
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Algebra 2 how do you find the frequency?
The frequency of the periodic function is given by: 0.0796.
What are the period and the frequency of a function?The period of a function is given by the distance between it's repetitions.The frequency of a function is found dividing one by the period.From the graph, we have that the period is of 4pi hours, hence the frequency is:
f = 1/4pi = 0.0796.
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help with math pls !!!! lots of point
Suppose that two fair dice are rolled. find the probability that the number on the first die is a 1 or the number on the second die is a 4
Answer:
1/36
Step-by-step explanation:
Assuming the dice has 6 sides in total, we can set up a probability for each scenario.
The chances of the dice landing on 1 will be 1/6, since there are 6 total faces. Same goes for the second die and landing on 4.
Now that we have our 2 probabilities, we multiply them to get the final probability. 1/6 x 1/6 = 1/36.
i dont know how to do this could someone help
Answer:
17, 5
Step-by-step explanation:
Let the width be x
width = x
length = x + 12
length x width = x(x + 12)
length x width = x² + 12x
x² + 12x = 85
x² + 12x - 85 = 0
Now it is just a quadratic:
The 2 numbers we need are 17 and -5
(x + 17)(x - 5) = 0
x = -17 or x = 5.
Since width and length cannot be negative, x must equal 5.
Width = 5
length = 17
The answer is 17, 5.
We are given two things :
Length exceeds width by 12 inchesArea = 85 square inchesWe can represent the length and width as x + 12 and x respectively.
Now, the formula for the area of a rectangle is :
Area = Length x width
Now, let's substitute the values for length and width in the formula along with the area.
(x + 12)(x) = 85x² + 12x = 85x² + 12x - 85 = 0We now have a quadratic equation, which can either be solved by splitting the middle term, or by using the quadratic formula. For convenience purposes, we'll go with the first one.
x² + 17x - 5x - 85 = 0x (x + 17) - 5 (x + 17) = 0(x + 17)(x - 5) = 0x = 17, 5Aakash has a fever. His body temperature during the day was 99.2°F. By evening, his body temperature has increased by 3.4°F.
His body temperature in the evening is
°F.
Given that, Aakash has a fever, if his body temperature during the day was 99.2°F and by evening his body temperature has increased by 3.4°F, Aakash's body temperature in the evening is 102.6° Fahrenheit.
What is Aakash body temperature in the evening?The body temperature is simply a measure of how well a human body can produce and get rid of heat. the normal body temperature is or 37 degrees Celsius or 98.6 degrees Fahrenheit.
Given the data in the question;
Body temperature during the day = 99.2° FahrenheitTemperature Increase = 3.4° Fahrenheit Body temperature in the evening = ?To get Aakash body temperature in the evening, we simply add the initial body temperature and the the temperature increase.
Temperature in the evening = 99.2° Fahrenheit + 3.4° Fahrenheit
Temperature in the evening = 102.6° Fahrenheit
Given that, Aakash has a fever, if his body temperature during the day was 99.2°F and by evening his body temperature has increased by 3.4°F, Aakash's body temperature in the evening is 102.6° Fahrenheit.
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Put the following equation in standard form and determine the quadratic, linear, and constant coefficients. -3x2 - 8 = 5x - 7
Answer:
-3x² -5x -1 = 0-3 (quadratic)-5 (linear)-1 (constant)Step-by-step explanation:
The equation will be in standard form when terms are listed in order of decreasing degree, and the right side of the equation is 0.
Standard formWe can subtract the right-side expression from both sides to get standard form.
-3x² -8 -(5x -7) = 5x -7 -(5x -7)
-3x² -8 -5x +7 = 0 . . . . . . . simplify a bit
-3x² -5x -1 = 0 . . . . . . . . . collect terms
The standard form equation can be written ...
-3x² -5x -1 = 0
CoefficientsThe quadratic coefficient is the coefficient of the term with degree 2. The quadratic coefficient is -3.
The linear coefficient is the coefficient of the term with degree 1. The linear coefficient is -5.
The constant coefficient is the coefficient of the term with no variables. The constant is -1.
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Additional comment
We can make the leading coefficient positive by multiplying the equation by -1. This gives ...
3x² +5x +1 = 0
with quadratic, linear, and constant coefficients 3, 5, 1.
This is a legitimate answer to this question. In the case of linear equations, the "standard form" has the constant on the right side of the equal sign, and the leading coefficient is required to be positive. A negative leading coefficient can sometimes lead to errors (when the sign is overlooked), so having a positive leading coefficient is often preferred.
PLEASE HELP I WILL GIVE 40 POINTS IF THE ANSWER IS RIGHT, AND BRAINLEST PLEASE HELP ASAP
Answer:
5/52 i think
Step-by-step explanation:
there are 52 cards in desk ,with26red and black cards.There 2red and 2 blackthree and. 1 six of hearts .
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