You have 12 cups of granola and $8\frac{1}{2}$

Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation? Complete the steps to write th

rosijanka [135]

Direct variation is of the form y=kx. We are given the point (8, -4) so we can solve for k, the constant of variation...

-4=8k, divide both sides by 8

-4/8=k

k=-0.5, so our equation is:

y=-0.5x,

5 0

3 years ago

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In a triangle Stu,st,|| vw given that vs=18,uv =24 and uw=28, find the wt

frutty [35]

Answer:

70

Step-by-step explanation:

28 +24+18

=70

answer is 70

4 0

2 years ago

Does anyone have the answers for all?

Shkiper50 [21]

Answer and Step-by-step explanation:

1-6

a.

What you can do is plug in 6 and start by doing the first machine first, then the second. If this doesn't work, do the second machine, then the first machine.

The order that works is second machine, then first machine.

Second Machine:

y = $(6)^{2} -6$ = 36 - 6 = 30

Plug into first machine now.

First Machine:

y = $\sqrt{(30) - 5} = \sqrt{25} = 5$

We see that the result is 5.

b. If we were to do the order of second machine, then first machine, we will never get a negative result (or -5 for that matter), due to the fact that you can't algebraically square root a negative number.

However, if we were to do the order of first machine, second machine, we can get a negative number. To get -5, we plug in 6 for x in the first machine, getting an answer of 1. We plug this into the second machine, getting 1^2 - 6, which results in -5.

1-7. The absolute value of a value is the positive version of that value.

a. |54| = 54

b. $-|-7\frac{3}{5}|$ = $-7\frac{3}{5}$

c. |3| - |-1| = 3 - 1 = 2

d. |2.2 - 5.13| = |-2.93| = 2.93

1-8.

a.

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(5 boxes on each side)

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(6 boxes on each side)

b. The amount of squares on each side of the figure increases by 1.

c. There would be 1 square, because we know that the pattern is there is 2 squares added to the next figure, 1 at each end. If we go back a figure, we take away 2 squares.

1-9.

a. -42 - 17 = -59

b. 8 - (-9) = 8 + 9 = 17

c. 8(-9) = -72

d. -42 ÷ (-7) = 6

e. -2(-3)(-4) = 6(-4) = 24

f. -18 - 7 = -25

g. $(-5)^{2}$ = 25

h. $-5^{2} = -(5)^2 = -(25)$ = -25

i. $\sqrt{49}$ = 7

1-10. x = 2 Plug 2 in for x, then solve.

a. y = 7 - 3(2) = 7 - 6 = 1

b. y = $(2)^2 -1$ = 4 - 1 = 3

c. y = $\frac{18}{2}$ = 9

#teamtrees #PAW (Plant And Water)

I hope this helps!

8 0

2 years ago

Find the range for the given domain: {-2, -1, and 0} and the function is y= 3x^2

likoan [24]

Answer:

{0, 3, 12}

Step-by-step explanation:

Put the domain values in the function and evaluate. The result is the range values.

y = 3{-2, -1, 0}^2 = 3{4, 1, 0} = {12, 3, 0}

For the given domain, the range is {0, 3, 12}.

_____

Additional comment

Neither the domain nor range values need to be put in any particular order. However, it is often convenient for them to be arranged from least to greatest.

6 0

3 years ago

What is the value of g÷4, if g =20? A)4 B)5 C)6 D)7

sladkih [1.3K]

Answer:

B) 5

Step-by-step explanation:

We can simply plug 20 in for g in the expression:

g / 4 = 20 / 4 = 5

Thus, the answer is B.

Hope this helps!

6 0

2 years ago

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