Answer:
(f + g)(x) = 3x² + x + 5
(f - g)(x) = 3x² - x - 3
Step-by-step explanation:
(f + g)(x) → f(x) + g(x) → <u>3x² + 1</u> + <u>x + 4</u>
Combine like terms and you get: 3x² + x + 5
(f - g)(x) → f(x) - g(x) → <u>3x² + 1</u> - (<u>x + 4</u>)
Remember to distribute the neg. everything in the parentheses. Combine like terms and you get: 3x² - x - 3
Answer:
Area of the shaded region= 82.2 cm²
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
the angle x would still be the same when you dilate the same triangle. if x was 87 degree on the small triangle and then dilate it larger, the value of x would still be 87 degree.
Answer:

Step-by-step explanation:
The function

gives the mass of the car as a function of the number of passengers in it.
And the function

gives the potential energy of the car as a function of the car's mass.
Now if the height of the ramp is 30 meters, we have


And to find the potential energy as a function of the number of passengers, we just substitute
into
to get:


which gives the potential energy as a function of the number of passengers.