You can prove the proofs by showing your work to prove the proofs.
Answer:
The cost would be 22.75
Step-by-step explanation:
To find the cost of each topping, we simply take the excess cost and divide it by the number of toppings. To find the excess cost, take the new cost and subtract the original cost.
17.50 - 14.00 = 3.50
Now divide that by the amount of toppings.
3.50/2 = 1.75
Now we can multiply the new number of toppings by that amount and add the cost of the pizza.
5(1.75) + 14.00
8.75 + 14.00
22.75
Step-by-step explanation:
to solve you just add the length of each line segment. In this problem 1.7+3.2=4.9
Remark
First of all you have to declare the meaning of g(f(x)) After you have done that, you have to make the correct substitution.
Givens
f(x) = 4x^2 + x + 1
g(x) = x^2 - 2
Discussion
What the given condition g(f(x)) means is that you begin with g(x). Write down g(x) = x^2 - 2
Wherever you see an x on either the left or right side of the equation, you put fix)
Then wherever you see f(x) on the right you put in what f(x) is equal to.
Solution
g(x) = x^2 - 2
g(f(x)) = (f(x))^2 - 2
g(f(x)) = [4x^2 + x + 1]^2 - 2
f(x)^2 =
4x^2 + x + 1
<u>4x^2 + x + 1</u>
16x^4 + 4x^3 + 4x^2
4x^3 + x^2 + x
<u> 4x^2 + x + 1</u>
16x^4 + 8x^3 + 9x^2 + 2x + 1
Answer
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x + 1 - 2
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x - 1