Write the equation of the line with a slope of 3/4 and a y-intercept of -7 in slope - intercept and point -slope form.

Mathematics

1 answer:

marta [7]3 years ago

6 0

slope intercept:

y=3/4x-7

point slope form:

I used the y intercept (0,-7) as a point to plug into point slope form.

y+7=3/4(x-0)

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What is the average rate of change of the function f(x)=20(14)xf(x)=20(14)x from x = 1 to x = 2? Enter your answer, as a decimal

Advocard [28]

The average rate of a function f(x) over an interval x = a and x = b is given by:

$Average \ Rate \ of \ Change= \frac{f(b)-f(a)}{b-a}$

Given the function

$f(x)=20(14)^x$

The average rate of change from x = 1 to x = 2 is given by:

$\frac{f(2)-f(1)}{2-1} = \frac{20(14)^2-20(14)^1}{1} \\ \\ =20(196-14)=20(182)=3,640$