Answer:
(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add and subtract two function by adding and subtracting their
like terms
Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then
(f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x
(f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2
* Lets solve the problem
∵ f(x) = 12x² + 7x + 2
∵ g(x) = 9x + 7
- To find (f + g)(x) add their like terms
∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)
∵ 7x and 9x are like terms
∵ 2 and 7 are like terms
∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)
∴ (f + g)(x) = 12x² + 16x + 9
* (f + g)(x) = 12x² + 16x + 9
To start, I had similar questions and I know that it takes 3 cones to fill a cylinder.
And as for the volumes:
V of a cylinder= V=π r<span>2 h (pi x radius squared x height)
Volume of a cone= V=</span><span>π r2 h/3 (pi x radius squared x height divided by 3)</span>
Answer:
Let the number of books she can purchase = b
The cost of each book is $5.5 with an extra shipping of $7.5
So, the total cost of the books she can purchase = 
Since, she had $65 to spend on the books.
The required inequality is 
.
So, according to the inequality above, we get,
The correct options are,
B. The inequality symbol is incorrect because she can spend up to and including $65.
C. The expression is correct because $5.50 per book is 
and that is added to the shipping fee of $7.50 to determine the total purchase price.
The formula of cylinder volume is V= Pi(radius)^2 (height). Therefore, V=(5)^2 (10)pi = 785.398 cm^3
