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kobusy [5.1K]
3 years ago
5

BRAINLIESTTTTT

Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0

Answer:

  1.  f(x) = 4x -6

  2. see the attachment

Step-by-step explanation:

1. The only two answer choices using "function notation" are the first two, which are of the form ...

  f(x) = <some expression involving x>

The only one of these that can describe both points is the first one:

  f(x) = 4x -6

  f(3) = 4·3 -6 = 6

  f(4) = 4·4 -6 = 10

__

2. Slope is the ratio of rise to run. When it is zero, there is no rise for any amount of run: the line is horizontal. The appropriate choice is the graph that shows a horizontal line.

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I have no idea if I'm doing it right but my guess would be to take the values that we get from f(x) and g(x) when x = 1.  Therefore we get that f(x) is equal to 4 and g(x) is equal to -1.  We than just do f/g which is 4/-1 which gives us the final answer of -4 which is option B.

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1) 1

2) 11

3) 4

4) D) Yes, the constant of variation is 3

Explanation

Q1

The slope of a line is given by

Slope = (change in y)/(change in x)

= (0 - -2)/(-4 - -6)

= 2/2

= 1

Q2

Slope = Δy/Δx

= (8 - -3)/(2 - 1)

= 11/1

= 11

Q3

Y varies directly as X. This is written as,

Y ∞ X

Put and equal sign then introduce the constant of proportionality, K.

Y = KX

K = Y/X

K = 6/18 = 1/3

∴ Y = (1/3)X

Y = (1/3) × 12

Y = 4

Q4

32Y = 96X

Dividing both sides by 32,

Y = 96/32 X

Y = 3X

3 been the constant, Y varies directly as X.

So, the equation 32y = 96x is a direct variation.

Constant of variation = 3

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