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s2008m [1.1K]
4 years ago
12

The zeros of a quadratic function are -6 and -2. What is a possible vertex of the function? EXPLAIN YOUR ANSWER AND SHOW YOUR WO

RK PLEASE.
A. (-4, -3)
B. (4, -2)
C. (4, 6)
D. (8, -4)
Mathematics
1 answer:
Degger [83]4 years ago
3 0

Answer:

(-4,-4)

Step-by-step explanation:

If the zeros of a quadratic function are -6 and -2, then it is:

(x+6)(x+2)

Expanding:

(x+6)(x+2)

=x^2+8x+12

To find the vertex, complete the square.

x^2+8x+12

=(x^2+8x+16)-16+12

=(x+4)^2-4

When the quadratic formula is written in the form y = a(x-h)^2+k, the vertex is (h, k).

(h, k)=(-4,-4)

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The ' 1 ' part is the amount that's already there, and
the ' .03 ' part is the amount to be added onto it.

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Answer:

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Step-by-step explanation:

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Find the total for items costing $149.99 with a sales tax of 5.75%
jek_recluse [69]
141.36 is the answer
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4 years ago
Rebotar Inc.makes basketballs.Their fixed costs are $3,450.
melomori [17]

Answer:

<em>Since the profit is positive, Rebotar not only broke even, they had earnings.</em>

Step-by-step explanation:

<u>Function Modeling</u>

The costs, incomes, and profits of Rebotar Inc. can be modeled by means of the appropriate function according to known conditions of the market.

It's known their fixed costs are $3,450 and their variable costs are $12 per basketball produced and sold. Thus, the total cost of Rebotar is:

C(x) = 12x + 3,450

Where x is the number of basketballs sold.

It's also known each basketball is sold at $25, thus the revenue (income) function is:

R(x) = 25x

The profit function is the difference between the costs and revenue:

P(x) = 25x - (12x + 3,450)

Operating:

P(x) = 25x - 12x - 3,450

P(x) = 13x - 3,450

If x=300 basketballs are sold, the profits are:

P(300) = 13(300) - 3,450

P(300) = 3,900 - 3,450

P(300) = 450

Since the profit is positive, Rebotar not only broke even, they had earnings.

8 0
3 years ago
What is the measure of one side of the square if its area is 100x² - 160x + 64?
earnstyle [38]

The Area of a Square is the square of the measure of one side of the square.

Hence, given the expression for the area of a square, express the given area as the square of an expression to get the measure of one side.

The given expression is:

100x^2-160x+64

Rewrite the expression as:

\begin{gathered} 10^2x^2-(2\times10\times8)x+8^2 \\ =(10x)^2-(2\times10x\times8)+8^2 \end{gathered}

Recall the binomial expansion:

(a-b)^2=a^2-2ab+b^2

Substituting a=10x and b=8, it follows that the expression becomes:

(10x-8)^2

Since the area of a square is the square of the measure of one side, it follows that the measure of one side from the given expression is 10x-8.

8 0
1 year ago
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