The owner of a video game store creates the expression −2x2 + 24x + 174 to represent the store's weekly profit in dollars, where x represents the price of a new video game. Choose the equivalent expression that reveals the video game price that produces the highest weekly profit, and use it to determine the price.−2(x2 − 12x) + 174; x = $12
−2(x2 − 12x − 87); x = $87
−2(x − 6)2 + 246; x = $246
−2(x − 6)2 + 246; x = $6

Answers

Answer 1

Answer:

Answer:

$-2(x-6)^2+246$ , x = $6

Step-by-step explanation:

The expression $-2x^2+24x+174$ to represent the store's weekly profit in dollars, where x represents the price of a new video game.

Let $f(x)=-2x^2+24x+174$

We need to rewrite this quadratic function in the vertex form.

$f(x)=-2(x^2-12x)+174$

$f(x)=-2(x^2-12x+36)--2(36)+174$

$f(x)=-2(x^2-12x+36)+72+174$

$f(x)=-2(x-6)^2+246$

The equivalent expression that reveals the video game price that produces the highest weekly profit is $-2(x-6)^2+246$

and the price is $6

Answer 2

Answer:

Answer:

-2(x-6)^2+246; x=$6

Hope it helps!

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

The triangle is shown in the below diagram.

Step-by-step explanation:

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$46 shoes; 2.9% tax. Find the total cost to the nearest cent.

Answers

To get the answer we have to find 2.9% of 46 and add it to 46.
2.9% is 0.029
46*0.029=1.334$
46+1.334=47,334
Now we can round
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2210 divided by 65 show work

Answers

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Harper has $15.00 to spend at her grocery store. She is going to buy bags of fruit that cost $4.75 each and one box of crackers that costs $3.50. Write and solve an inequality that models this situation and could be used to determine e the maximum number of bags of fruit, (b), Harper can buy.Show your work.

Answers

Answer: The required inequality is,

4.75 b +3.50 ≤ 15.00

Step-by-step explanation:

Here, b represents the number of bags of fruit bought by her,

Since, the cost of each bag of fruits = $ 4.75,

⇒ The cost of b bags of fruit = 4.75b dollars,

Also, she buy one box of crackers that costs $3.50,

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Her total expenditure can not exceed to $ 15.00,

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O 7x + 21
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Answers

Answer:

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Step-by-step explanation:

7(x + 2) + 12

7x + 14 + 12

7x + 26

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