A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?
y = –4/3x
y = –3/4x
y = 3/4x
y =4/3 x

Answers

Answer 1

Answer:

[tex]y=\frac{3}{4}x[/tex]

Step-by-step explanation:

If it is a direct variation function, then [tex]\frac{y}{x}=k[/tex].

[tex]k[/tex] can be found by choosing a point and doing [tex]y[/tex] divided by [tex]x[/tex].

So we can find [tex]k[/tex] by doing -6 divided by -8 or 9 divided by 12.

Both of these values are equal to 0.75 or 3/4 as a fraction.

So you can say any point in this relation will follow the equation:

[tex]\frac{y}{x}=\frac{3}{4}[/tex]

Multiply both sides by [tex]x[/tex]:

[tex]y=\frac{3}{4}x[/tex]


Related Questions

16. Write the following in standard form
36505000
pls need ans. fast ​

Answers

Answer:

3.6505*10^7

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

36,505,000

Step-by-step explanation:

36505000 is 36505000 in standard form.

The formula for the volume of a tetrahedron is given as v=sh. Rewrite the
equation so that the height is a function of the area of base and the volume (solve for
the height), then find the height when the area of base is 8 and the volume is 48.

Answers

Answer:

h = 6 units

Step-by-step explanation:

The formula for the volume of a tetrahedron is given as :

V = sh

Where

s is area of base and h is height

Put s = 8 and V = 48 to find h as follows :

[tex]h=\dfrac{V}{s}\\\\=\dfrac{48}{8}\\\\h=6[/tex]

So, the height of the tetrahedron is 6 units.

slopes in order (3,13) (27,13) ; (1,4) (7,10) ; (-3,1) (2,11) ; (0,10) (5,11)

Answers

Answer:

Step-by-step explanation:

Given any two points, you can find the slope of the line between them using the equation

[tex]m = \frac{y_2-y_1}{x_2-x_2}[/tex]

#1:

(3, 13), (27, 13):  [tex]m = \frac{13-13}{27-3} = \frac{0}{24} = 0\\[/tex]

(1, 4), (7, 10): [tex]m = \frac{10-4}{7-1} = \frac{6}{6} = 1\\[/tex]

(-3, 1), (2, 11): [tex]m = \frac{11-1}{2-(-3)} = \frac{10}{5} = 2[/tex]

(0, 10), (5, 11): [tex]m = \frac{11-10}{5-0} = \frac{1}{5} = 0.2[/tex]

In ascending order:

#1:  (3, 13), (27, 13): 0

#2: (0, 10), (5, 11): 0.2

#3: (1, 4), (7, 10): 1

#4: (-3, 1), (2, 11): 2

Leroy borrowed $8250 to be repaid after 3 years at an annual simple interest rate of 7.25%.

Answers

Answer: 598.125 each year

Step-by-step explanation:

if you want to find out how much he pays after one year it would be...

8250 times 7.25 divided by 100 = 598.125

Please help! It’s already late! Help asap!

Answers

Answer:

B will be correct answer

Step-by-step explanation:

What is the answer I got it wrong

Answers

Answer:

-1/2

Step-by-step explanation:

It’s y2 - y1 over x2-x1

- 2 - 3

— - -—-

6 - (-4)

= -5/10

= -1/2

Answer: 1/2

Step-by-step explanation:

50 POINTS !!! Imogen bought i number of invitations to send out for her party. After she sent out 19, she was left with 11. What is the
value of ?
O 8
O 11
19
30

Answers

Answer:

Step-by-step explanation:

Just add 19 and 11 and you will get your answer!

HOPE THIS HELPS!

Answer:

da answer is 30

Step-by-step explanation:

In the number 0.02415, the 4 is located in the _____ place.

thousandths
hundredths
ten thousandths
tenths

Answers

It is in thousandths place

Step-by-step explanation:

thousandths

0.004 =

[tex] \frac{4}{1000} [/tex]

GameStop is selling video games for $32 each. Used video games sell for $12 each. David is buying 3 new video games and x used video games. Which equation can be used to find y, the total price David must pay in dollars?

Answers

Answer:

12x plus 3x equals $32

Step-by-step explanation:

I just wrote an equation that best fits the problem

1/4 +0.25
what would it equal​

Answers

Hi!! The answer would be 0.5!!

Answer:

0.5

Step-by-step explanation:

1/4+0.25

0.25+0.25

=0.5

So 0.5 is the answer

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20. Which statement is true of the box plot of this data set? The box will go from 10 to 12. A line dividing the box will be at 12. The left whisker will go from 4 to 15. The right whisker will go from 12 to 20.

Answers

Given:

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20.

To find:

The correct statement for the box plot.

Solution:

Lower quartile is 10 and upper quartile is 15, so the box will go from 10 to 15.

Median of the data set is 12, so a line dividing the box will be at 12.

Minimum value is 4 and lower quartile is 10, so the left whisker will go from 4 to 10.

Upper quartile is 15 and maximum value is 20, so the right whisker will go from 15 to 20.

Therefore, the correct option is B.

Answer:

its b

Step-by-step explanation:

took the exam review

Find the midpoint of PQ with endpoints P(0, 2) and Q(6, -2). Then write an equation of the line that passes through the midpoint and is perpendicular to

Answers

Answer:

(3,0)

Step-by-step explanation:

Round 10,982 to the nearest thousand

Answers

11,000 - rounded to the nearest thousand!

Answer: 11,000 - rounded to the nearest thousand!

9,051.7 divided by 5=?

Answers

Answer:

1810.34

Step-by-step explanation:

Just use a calculator

PLZ ANSWER ASAP! ONLY IF YOU ARE CORRECT!

Answers

Answer:

k=42

Step-by-step explanation:

Answer:

k = 42

Step-by-step explanation:

That's a right angle, indicated by the square. A right angle is 90 degrees.

To find [tex](k+1)[/tex], we need to subtract 47 from 90. 90 - 47 = 43.

To find k, we subtract 1 on both sides. k = 42.

Write an equation in point-slope form for the line through the given point with the given slope.(3,-4);m=-1/4

Answers

Answer:

The equation in point-slope form for the line through the given point with the given slope is: [tex]y+3 = -\frac{1}{4}(x-3)[/tex]

Step-by-step explanation:

The point slope form of a line is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

Here m is the slope and (x1,y1) are the coordinates of the point through which the line passes.

Given

m = -1/4 and

(x1,y1) = (3,-4)

Putting the values in the point-slope form of line

[tex]y-(-4) = -\frac{1}{4}(x-3)\\y+4 = -\frac{1}{4}(x-3)[/tex]

Hence,

The equation in point-slope form for the line through the given point with the given slope is: [tex]y+3 = -\frac{1}{4}(x-3)[/tex]

I need help here ... I’m dumb ash

Answers

Answer: u ain’t dumb :c

Step-by-step explanation:

Hhjhjhhhr

Answer:kakakakkakakkaanfsjehbrghjidorfnj

Step-by-step explanation:


Here is a probability scale:
0
Put a cross on the scale to show the probability of landing on the letter A.
The Probability Scale
View One Minute Version
Overview

Answers

Answer:

the second line

Step-by-step explanation:

press the pencil then put it two lines after 0 then yeah

If $120.00 is borrowed for 3 years at 5% how much interest will be generated by the end of the loan? please answer will mark brainelist​

Answers

Answer:

I = prt / 100

120x3x5 / 100

= 18

Use the Geometric Mean Theorem and your knowledge of proportions to find the value of x.

Answers

Answer:

[tex]x=9.6cm[/tex]

Step-by-step explanation:

[tex]x=\frac{2Area}{20}\\\\Area = \frac{16 * 12}{2} = 96 cm^{2}\\ \\x = \frac{2 * 96}{20} = \frac{192}{20} = \frac{48}{5} = 9.6 cm[/tex]

How do you write this in index form?

Answers

The general form is nthroot{a} in index form looks like this: a^(1/n).

Let's rationalize the denominator first.

Doing so, we get (1/2)sqrt{2}.

In index form, the sqrt{2} = 2^(1/2).

We now have (1/2)[2^(1/2)].

Is this clear?

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = x+1 1 X+ 3 2. O A. (-4,-3) OB. (-2,1) O C. (2,3) O D. (4,5)​

Answers

Answer:

D. (4, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x + 1

y = 1/2x + 3

Step 2: Solve for x

Substitute in y:                              x + 1 = 1/2x + 3Subtract 1/2x on both sides:        1/2x + 1 = 3Subtract 1 on both sides:              1/2x = 2Divide both sides by 1/2:              x = 4

Step 3: Solve for y

Define original equation:                   y = x + 1Substitute in x:                                    y = 4 + 1Add:                                                     y = 5

Step 4: Graph

We can confirm our answer.

14. Which set of side lengths can be used to prove the statement below is false?

"In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides."

a) 4 cm, 5 cm, 7 cm

b) 5 cm. 12 cm 13 cm

c) 3 cm, 4 cm, 5 cm

d) 9 cm, 12 cm, 15 cm​

Answers

Answer:

a) 4 cm, 5 cm, 7 cm

Step-by-step explanation:

The statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is only true for triangle rectangles.

To find a counter example, we can try with the options and see which one works as a counterexample:

a) 4 cm, 5 cm, 7 cm

The longest side is 7cm, then the statement says that:

4^2 + 5^2 = 7^2

16 + 25 = 51

while 7^2 = 49

Then for this particular set of sides, the statement is false.

So we already found the counter example, because:

4^2 + 5^2 ≠ 7^2

The only set of side lengths that proves that the statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is false is;

Option A; 4 cm, 5 cm, 7 cm

To answer this question, let us look at each option;

Option A; 4 cm, 5 cm, 7 cm

Thus; 4² + 5² = 51 and 7² = 49

Since the sum of the square of the two shorter sides is not equal to the square of the longest side, then this proves the statement is false.

Option B; 5 cm. 12 cm 13 cm

Thus; 5² + 12² = 169 and 13² = 169

Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.

Option C; 3 cm, 4 cm, 5 cm

Thus; 3² + 4² = 25 and 5² = 25

Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.

Option D; 9 cm, 12 cm, 15 cm​

Thus; 9² + 12² = 225 and 15² = 225

Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.

Read more at; https://brainly.com/question/16175002

Help me please I need help

Answers

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[tex]l = R \times \alpha [/tex]

[tex]l = length \: \: of \: \: the \: \: arc[/tex]

[tex]R = radius = 13 \: \: km[/tex]

[tex] \alpha = mersure \: \: of \: \: the \: \: centeral \: \: angle \: \: between \: \: two \: \: radiuses \\ [/tex]

Hint :

[tex] \alpha \: \: must \: \: be \: \: in \: \: radian[/tex]

Thus ;

[tex] \alpha = 45° = \frac{\pi}{4} \\ [/tex]

_________________________________

[tex]l = 13 \times \frac{\pi}{4} \\ [/tex]

[tex]l = \frac{13}{4} \pi \: \: km \\ [/tex]

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HELPPPPPP!!!!!!!Select the correct locations on the graph.
Select the lines that represent functions.

Answers

Answer:

The second line (the flat one with an angle)

Step-by-step explanation:

Functions are linear when put on a graph.

Evaluate the expression 4(x - 3) + 7 using x=2

Answers

4x - 12 + 7
4x - 5
4(2) - 5
8 - 5
the answer is 3

Answer:

3

Step-by-step explanation:

Parentheses Exponents Multiplication Division Addition Subtraction

x=2 4(2-3)+7

P: (2-3)=-1

E:

M: 4(-1)=-4

D:

A: -4+7= 3

S:

4(2-3)+7=3

Explain why an absolute value can never be a negative

Answers

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative.

on saturday keisha ran 2.175 kilometers. on sunday she ran 1.88 kilometers. how much farther did she run on saturday than on sunday?
Pls help fast I don't know what to do

Answers

Answer:

0.295

Step-by-step explanation:

you needed to subtract 2.175-1.88=0.295

In the equation y = 2x – 3, what is the value of y when x equals -2?

Answers

Answer:

-7

Step-by-step explanation:

Y = 2(-3) - 3
Y = -6 - 3
Y = -9

What is the domain and range please?

Answers

Answer:

domain is all the values that go into a function, and the range is all the values that come out.

Answer:

Domain: -6 <= x <= 3 and Range -9 <= y <= 5

Step-by-step explanation:

Domain is x

Range is y

(x, y)

The smallest x is -6

The largest x is 3

The smallest y is -9

The largest y is 5

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