Answer:
The number of miles driven after
Step-by-step explanation:
is how much they charge flat out
2 dollars for each mile after the first
x-1 tells you how many miles they have driven after the first
Answer:
The groomer can get 40 bottles out of the 5 gallon pail.
Step-by-step explanation:
A gallon contains 128oz (ounces)
128/16=8
8 bottles/gallon
times both sides by 5
40 bottles/5 gallons
Therefore the groomer can get 40 bottles out of the 5 gallon pail
Answer:
<h2>2</h2>
Step-by-step explanation:
Given g(x)=5x-4 and g(x)=f^{-1}(x)-3
Substituting g(x) = 5x-4 into the second equation we have;
5x-4 = f^{-1}(x)-3
f^{-1}(x) = 5x-4+3
f^{-1}(x) = 5x-1
To get f(x), let us first make y to be equal f^{-1}(x)
y = 5x-1
expressing x in terms of y to get f(x), we have;
5x = y+1
x = y/5+1/5
replacing y with x, we will have;
y = x/5 + 1/5
F(x) = x/5 + 1/5
Comparing x/5 + 1/5 with ax+b, a = 1/5 and b = 1/5
5a + 5b = 5(1/5)+ 5(1/5)
5a+5b = 1+1
5a+5b = 2
Answer:
<em>y = - cos ( </em>
<em> x + </em>
<em> ) </em>
Step-by-step explanation:
y = A cos ( Bx + C) + D
Vertical shift D = 0
A = - 1
Compression / Stretching B
Period of given function is 
Period of cos x is 2π
= 
⇒ B =
Horizontal shift is C ÷ B
Horizontal shift of given function is 
= C ÷ ⇒ C =
So, the equation of given function is
<em>y = - cos ( </em><em> x + </em><em> ) </em>
