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Artyom0805 [142]
1 year ago
14

I'm trying to evaluate and solve this quadratic function and I get so lost on word problems I will include a picture

Mathematics
1 answer:
SashulF [63]1 year ago
4 0

Given:

The Revenue function R(x):

R(x)\text{ = 550x}

The cost function C(x) :

C(x)=1240+2x^2

Solution

1. Profit is the difference between the revenue and the cost. Hence, the Profit function P(x) is:

\begin{gathered} P(x)\text{ = R(x) - C(x)} \\ =550x-(1240+2x^2) \\ =550x-1240-2x^2 \end{gathered}

2. The vertical intercept of P(x) can be obtained by substituting x =0 into P(x)

\begin{gathered} P(x)=550x-1240-2x^2 \\ P(0)\text{ = 0 -1240 -0} \\ P(0)\text{ = -1240} \end{gathered}

Ordered Pair : (0, -1240)

If the company sells no items, they would lose $ 1240

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Answer:

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Step-by-step explanation:

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3 years ago
Shelby made a mistake in her checkbook. She wrote a check for $8.50 to rent a video game but mistakenly recorded it in her check
alekssr [168]

Answer:

Part A

The first transaction which is to write a check of $8.50 is a debit transaction which carries a negative sign while

The second transaction which states that she wrote it as a deposit carries a positive sign because deposit means to add

Part B

The absolute value of a number is never negative.

|-8.50| = 8.50

Step-by-step explanation:

Part A: Which point represents each of Shelby's transaction on the number line below? Explain the difference between these two transactions.

The firsts transaction says:

She wrote a check for $8.50 to rent a video game.

Writing a check of $8.50 is a debit to her bank account. This is a negative value because $8.50 is taken from the money in her bank account.

Mathematically this means, -$8.50

The second transaction states that:

She mistakenly recorded it in her checkbook as an $8.50 deposit.

Mathematically, a deposit means a positive action, where money is added to the money in her bank account.

Hence,

+$8.50

Part B: Use absolute value to explain how a debt of $8.50 and a deposit of $8.50 are similar.

In mathematics it is important to note that:

The absolute value of a number is never negative.

Hence,

Debt of $8.50 = -8.50

Deposit of $8.50 = +8.50

Hence,

|-8.50| = 8.50

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3 years ago
Heather is filling her new Koi pond with a water hose. After 33 minutes, her pond has 74 gallons water. Her Koi pond holds 480 g
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3 years ago
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1. Quadrilateral EFGH is an isosceles trapezoid. If mG is four times mH, what is mE? A)18° C)72° D)144° B)36°​
Maslowich

Answer:

<E = 36 degrees (Answer B)

Step-by-step explanation:

Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:

<E + <F + <G + <H = 360

Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G  and <E = <H .

The previous equation then can be written as:

<H + <G + <G + <H = 360

Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:

<H + 4 <H + 4 <H + <H = 360

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divide both sides by 10 to isolate <H

<H = 360 / 10

<H = 36

Since as we mentioned, <E equals <H, we can state that

the measure of <E = 36 degrees (Answer B)

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3 years ago
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