Answer:
a = 8, b = ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
Given the exponential function
f(x) = a![b^{x}](https://tex.z-dn.net/?f=b%5E%7Bx%7D)
To find a and b use the given coordinate points on the graph
Using (0, 8 ), then
8 = a
[
= 1 ] , then
a = 8
f(x) = 8![b^{x}](https://tex.z-dn.net/?f=b%5E%7Bx%7D)
Using (2, 18 ) , then
18 = 8b² ( divide both sides by 8 )
= b² , that is
b² =
( take the square root of both sides )
b =
= ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Thus
f(x) = 8![(\frac{3}{2}) ^{x}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B2%7D%29%20%5E%7Bx%7D)
Here is the answer for this question .
Using the Pythagorean theorem:
90^2 +90^2 = X^2
8100 + 8100 = x^2
16,200 = x^2
X = √16,200
X = 127.28 feet.
Rounded to the nearest foot = 127 feet.
The length would be 26 and the width would be 16.
L = length
w = width
p = perimeter
p=72
2L+2w=72
L=w+4
2(w+4) + 2w = 72
2w + 8 + 2w = 72
4w = 64
w = 16
2L + 2(16) = 72
2L + 32 = 72
2L = 52
L = 26
w = 16
L = 26
Answer:
(C) -6
Step-by-step explanation:
Given the following data;
Points on the graph (x1, y1) = (1, -9).
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the zero of the linear function f, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - (-9) = -3(x - 1)
y + 9 = -3x + 3
y = -3x + 3 - 9
y = -3x -6 = mx + c
Intercept (c) or zero of a function = -6