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Alina [70]
3 years ago
11

A direct variation function contains the points (-9, -3) and (-12, -4) Which equation represents the function?

Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0

Answer:

y = \frac{1}{3} x

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use either of the 2 given points

Using (- 9, - 3), then

k = \frac{y}{x} = \frac{-3}{-9} = \frac{1}{3}

y = \frac{1}{3} x ← equation of function

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3 - 6k + 9g - 11 + 7g<br>(Distribute it with like terms and stuff)​
AURORKA [14]

Answer:

-6k+16g-8

Step-by-step explanation:

simplify

6 0
2 years ago
A farmer ships oranges in wooden crates. Suppose each orange weighs the same amount. The total weight of a crate filled with ora
maw [93]

Answer: g= 25 oranges

Step-by-step explanation:

.38g + 15 = 24.5

.38g = 24.5 - 15

.38g = 9.5

g = 9.5 ÷ .38

g = 25

7 0
3 years ago
Find the slope of the line passing through the two points.
pogonyaev
Formula for slope: y2-y1/x2-x1
Plug in values. 
3-8/-4-(-7)= -5/3 = slope
42-1/36-12=41/24=slope
6 0
3 years ago
Janet has $75 to spend at the mall. She has already spent $28. She wants to buy games that cost $15 each, including tax. Enter t
serg [7]

Answer:

3 games

Step-by-step explanation:

The computation of the maximum number of games that he could buy is shown below:

= Amount available - already spent

= $75 - $28

= $47

If each game cost $15

So, the maximum no of games is

= $47 ÷ $15

= 3.133

= 3 games

3 0
2 years ago
Choose the correct simplification of the expression a^7b^8/a^4b^4
Alex787 [66]
The answer is B: a^3b^4<span>

Proof:
Simplify the following:
(a^7 b^8)/(a^4 b^4)

Combine powers. (a^7 b^8)/(a^4 b^4) = a^(7 - 4) b^(8 - 4):
a^(7 - 4) b^(8 - 4)

7 - 4 = 3:
a^3 b^(8 - 4)

8 - 4 = 4:
Answer:  a^3 b^4

PS: I just wish that you put the equation down as it's intended i.e.
a^7b^8/a^4b^4 is not the same as (<span>a^7b^8)/(a^4b^4)</span>
</span>
4 0
3 years ago
Read 2 more answers
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