MATH SOLVE

2 months ago

Q:
# The function y = –5(x – 4)2 + 10 shows the daily profit (in hundreds of dollars) of a taco food truck, where x is the price of a taco (in dollars). find and interpret the zeros of this function.select two answers: one for the zeros and one for the interpretation.

Accepted Solution

A:

We have the following function:

y = -5 (x - 4) ^ 2 + 10

Rewriting we have:

y = -5 (x ^ 2 - 8x + 16) + 10

y = -5x ^ 2 + 40x - 80 + 10

y = -5x ^ 2 + 40x - 70

Which roots are:

x1 = 4-root (2)

x2 = 4 + root (2)

Interpretation for one of the roots:

x2 = 4 + root (2):

By increasing the price of the product, the demand for it decreases.

Answer:

the zeros of this function are:

x1 = 4-root (2)

x2 = 4 + root (2)

one for the interpretation:

x2 = 4 + root (2):

By increasing the price of the product, the demand for it decreases.

y = -5 (x - 4) ^ 2 + 10

Rewriting we have:

y = -5 (x ^ 2 - 8x + 16) + 10

y = -5x ^ 2 + 40x - 80 + 10

y = -5x ^ 2 + 40x - 70

Which roots are:

x1 = 4-root (2)

x2 = 4 + root (2)

Interpretation for one of the roots:

x2 = 4 + root (2):

By increasing the price of the product, the demand for it decreases.

Answer:

the zeros of this function are:

x1 = 4-root (2)

x2 = 4 + root (2)

one for the interpretation:

x2 = 4 + root (2):

By increasing the price of the product, the demand for it decreases.