Question

A homemaker decides to start a small business making earrings and selling them on the internet. originally, he sets the price of the earnings at $16 a pair.Then he decides to increase the price. The equation: y=-1(x^2-26x-672) describes the profit,y, in dollars , based on the increase in price,x, in dollars.

A)write the trinomial in factored form
b)determine the x intercepts of the equation
c)determine the equation of the axis of symmetry

Answer 1

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Answer 2

Hello

Answer 3

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Answer 4

I deleted it.

Answer 5

Vertex form: y = a(x - h)^2 + k, where (h, k) is the vertex and the equation x = h is the axis of symmetry

a) y = -(x^2 - 26x - 672)
y = -(x - 42)(x + 16) <===

b) 0 = -(x - 42)(x + 16)
x - 42 = 0 or x + 16 = 0
x = 42 or x = -16
x-intercepts: (42, 0), (-16, 0) <===

c) y = -(x^2 - 26x - 672)
y = -x^2 + 26x + 672
y = -(x^2 - 26x) + 672
y = -(x^2 - 26x + 169) + 672 + 169
y = -(x - 13)^2 + 341
axis of symmetry: x = 13 <===

d) (13, 341)

f) The vertex represents the maximum profit that the business can get and the increase in price of the earrings that makes that profit. In this case, increasing the price by $13 makes a maximum profit of $341.
This is an answer to one of my previous questions... So yeah.

Answer 6

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Answer 7

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Answer 8

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Answer 9

What's your question?