Question

Devonte is purchasing a blocked shaped like a right rectangular prism for a construction project. He knows the volume, V, and the area of the base, B, of the block. Devonte needs to be sure that the block is not too tall for his project. He wants to rearrange the formula V = Bh so that the height, h, of the block can be determined given the volume and the area of the base.

Which equation should Devonte use ?

A. h = B/V

B. h = V/B

C. h = V x B

D. h = V - B

Answer 1

hint: take V = Bh and divide both sides by B

Answer 2

1

Answer 3

to divide by B, write a division sign, then write B.

Answer 4

for example, to divide V by B, write V, then write a division sign, then write B.

Answer 5

V divided by B = V/B

now do the same thing with Bh

Answer 6

H divided by B = BH

Answer 7

divide Bh by B

Answer 8

Write down Bh

write a division sign

then write B

then solve

Answer 9

Bh ÷ B = Bh

Answer 10

hint: B/B = 1

so we can cancel out Bh/B to get h

Answer 11

so h = V/b is your answer (answer choice B)

Answer 12

The mapping shows the relationship between the variables x and y of function f, where the domain is set x and the range is set y.

Which equations are true?

Select the two correct equations.

A. f(-3) = 21

B. f(9. 4) = 5

C. f(2) · 8 = 16

D. f(0) - 5 = 16

E. f(6.8) - 6.8 = 0

Answer 13

is there a picture that goes with this?

Answer 14

hint: when x = -3, what does f(x) = ?

Answer 15

-3

Answer 16

the arrow tells you what f(x) equals to

look at the arrow at x = -3

where is it pointing? what number?

Answer 17

21

Answer 18

good, so f(-3) = 21 making A true (we still need to keep going)

Answer 19

B. f(9. 4) = 5

this implies that x = 9.4 and f(x) = 5 (this is not true because there is no x value 9.4)

let's keep going

Answer 20

look at the pic again

what is f(2)?

Answer 21

f(2)

Answer 22

f(2) means the y-value when x = 2

look at the pic

what is the arrow at x = 2 pointing at?

Answer 23

16

Answer 24

good, this means f(2) = 16

C states that f(2) * 8 = 16 which is clearly not true since 16*8 is not 16

so let's keep moving

Answer 25

D. f(0) - 5 = 16

using the same logic from before, what is f(0)? answer this by looking at the pic, where x = 0, to find the matching f(x) value

Answer 26

x = 0

Answer 27

ok, but what is f(0)? see where the arrow is pointing?

Answer 28

the answer is 0

Answer 29

look at the arrow where x = 0. where is it pointing?

Answer 30

21

Answer 31

good

so f(0) = 21

making f(0) - 5 = 21 - 5 = 16 (true!)

so our answers are A & D

Answer 32

can we open a new question please