Answer:
y = 4x
Step-by-step explanation:
We need to look at where the line's dots are to find the slope. Between each dot the line goes 1 to the right and 4 up. Remember the saying rise over run to know that the slop is 4/1. 4/1 is just 4 so in the equation we put that next to x.
The next part of making an equation is the y-intercept, or where it crosses the y-axis. Since this hits the y-axis at 0 the complete equation will be
y = 4x + 0
but obviously we don't need to add 0 so the answer is
y = 4x
The answer for the last one is-36
Step-by-step explanation:
there 5^(n+1) + 5^(n+2) = 5^n x 5^1 + 5^n x 5^2 breaking them as x^(a+b) = x^a x x^b
then taking common 5^n from both terms
Answer:
f(h(-1)) = -1
Step-by-step explanation:
f(x) = (x-4)/3
h(x) = 3x + 4
f(h(-1)) = ?
So first off we need to solve for h(-1):
h(x) = 3x + 4
h(-1) = 3(-1) + 4
h(-1) = 1
Next, we plug this value into the f(x) equation:
f(x) = (x-4)/3
f(1) = (1-4)/3
f(1) = -1
f(h(-1)) may look confusing but it is just f(x) with x being the resulting value for h(-1)
Thus we can say that f(h(-1)) is equal to -1