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brilliants [131]
3 years ago
9

A clothing store determines that in order to sell x shirts, the price per shirt should be p(x)=100−x dollars. Getting x shirts f

rom the supplier costs the store C(x)=1,600+20x dollars. If the store’s revenue from selling x shirts is R(x)=x⋅p(x), for what value of x will the store’s cost and revenue be equal?
Mathematics
1 answer:
vredina [299]3 years ago
5 0

Answer:

x= -40

Step-by-step explanation:

Cost

C(x)=1,600+20x

P(x)=100-x

Revenue=x*p(x)

=x*(100-x)

=100x-x^2

Cost=Revenue

1600+20x=100x-x^2

1600+20x-100x+x^2=0

1600-80x+x^2=0

Solve using quadratic formula

Formula where

a = 1, b = 80, and c = 1600

x=−b±√b2−4ac/2a

x=−80±√80^2−4(1)(1600) / 2(1)

x=−80±√6400−6400 / 2

x=−80±√0 / 2

The discriminant b^2−4ac=0

so, there is one real root.

x= −80/2

x= -40

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tangare [24]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
What’s the answer and how do you figure these out?
Nat2105 [25]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
Use the elimination method to solve the system of equations. <br><br> 3x+4y=8<br> X-Y=12
Margarita [4]

STEP 1: Multiply second equation by -3.

After multiplying we have the following system:

3x+4y−3x+3y=8=−36

STEP 2: add the two equations together to eliminate x from the system.

7y=−28

STEP 3: find y

<u>y=−4</u>

<u></u>

STEP 4: substitute the value for y into the original equation to solve for x.

3x+4(−4)=8

<u>x=8</u>

5 0
3 years ago
Read 2 more answers
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Lorico [155]

Answer:

C. Associative property

Step-by-step explanation:

7 0
3 years ago
One number is nine more than another number. If the sum of the numbers is 65 find both numbers
velikii [3]

Answer:

THEY ARE 37 AND 28

Step-by-step explanation:

LET THE NUMBERS BE X AND Y

X = 9 + Y

X - Y = 9 ........1

X + Y = 65 .....2

ADDING 1 AND 2

2X = 74

DIVIDING BY 2

2X/2 = 74/2

X = 37

AND X = 9 + Y

: Y = X - 9

PUTTING X = 37

Y = 37 - 9

Y = 28

6 0
3 years ago
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