Given f(×) and g(×) = f(kx), use the graph to determine the value of k

The value of k is 3

Solution:

Let us first find the equation of the line f(x).

The points on the line are (-6, -2) and (0, 4).

Here,

Formula to find equation of a line:

Do cross multiplication.

y + 2 = x + 6

y = x + 4

f(x) = x + 4

Given that g(x) = f(kx)

g(x) = kx + 4

The point in the graph of g(x) is ( -2, -2).

g(-2) = k(-2) + 4

we know that g(-2) = -2.

-2 = -2k + 4

Subtract 4 from both sides.

-6 = -2k

Divide by -2 on both sides.

3 = k

k = 3

The value of k is 3.

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step-by-step explanation:

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages