we have
f(x)
and
g(x)=-2f(x)+5
so
step 1
First transformation
Reflection about the x-axis
so
f(x) -----> -f(x)
step 2
Second transformation
A vertical dilation with a scale factor of 2
so
-f(x) ------> -2f(x)
step 3
Third transformation
A translation of 5 units up
so
-2f(x) -------> -2f(x)+5
Answer:
13.3 ft
Step-by-step explanation:
24² - 20² = d²
d = √(576 - 400) = √176 = 13.26649... ≈ 13.3 ft.
Answer:
72 parts
Steps:
Convert the 4 hours into minutes. There are 60 minutes in an hour. Therefore, 4 hours = 240 minutes.
Divide 240 minutes by 40 minutes. This equals 6. Therefore, the machinist can produce the 12 parts 6 times in 4 hours.
Finally, multiply the 12 parts by the 6 times he can produce. Therefore, the machinist can produce 72 parts in 4 hours.
Answer:
following are the solution to this question:
Step-by-step explanation:
Please find the complete question in the attached file.

The one-sided limits of F(x) at x = 3 must be equivalent for f(x) to be continuous at x = 3.
So,


In equation a multiply the by -2 and then add in the equation b:
So, the value of