Answer:
y intercept = 5
Step-by-step explanation:
f(x)=5•(1/6)^x
The y intercept is when x =0
Let x =0
f(0)=5•(1/6)^0
= 5* 1 = 5
The y intercept is 5
If the question is
f(x)=5•(1/6)x
although I have never seen the question written this way
The y intercept is when x =0
Let x =0
f(0)=5•(1/6)0
= 5* 0 = 0
The y intercept is 0
Answer:
; 
Step-by-step explanation:
The inequality says the sum of x and 25 (written as x + 25) is less than (<) 75.
The inequality is written as: 
My work for solving the inequality is in the picture.
Answer:
The amount of rainfall increases as an exponential function of time.
Step-by-step explanation:
Answer
A. 23
step-by-step explanation

We put x=3 into the function g


Also,

we substitute the value of g(3) into f



Answer:
36 ft by 16 ft
Step-by-step explanation:
To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.
The area is the product of length and width, so if w represents the width, we have ...
w(52 -w) = 576
w² -52w = -576 . . . . . eliminate parentheses, multiply by -1
w² -52w +26² = 26² -576 . . . . . . complete the square
(w -26)² = 676 -576 = 100
w = 26 ±√100 = {16, 36}
If the width is the short dimension, it is 16 feet. Then the length is 36 feet.