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Usimov [2.4K]
3 years ago
13

The revenue, in thousands of dollars, that a company earns selling lawnmowers can be modeled by R(x)=90x-x^2 and the company's t

otal profit, in thousands of dollars, after selling x lawnmowers can be modeled by p(x)= -x^2+30x-200 . Which function represents the company's cost, in thousands of dollars, for producing lawnmowers? (Recall that profit equals revenue minus cost.)
A) C(x)= -60x^2-200
B) C(x)= 60x^2+200
C) C(x)=2x+60x^2+200
D) C(x)= -2x-60x^2-200
Mathematics
2 answers:
zloy xaker [14]3 years ago
8 0
Profit, P is given by:
P=R-C
where
R is the revenue
C is the cost
this implies that:
C=R-P
from the information given, the revenue and the cost functions are given by:
R(x)=90x²-x

P(x)=30x²-x-200

thus the cost function will be:
C(x)=R(x)-P(x)

substituting our values we shall have:
C(x)=90x²-x-(30x²-x-200)
C(x)=(90x²-30x²-x+x+200)
C(x)=60x²+200
The answer is B

Natalka [10]3 years ago
4 0

Answer:

60x+200 apex

Step-by-step explanation:

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Sergio [31]

Answer:

m = 9

Step-by-step explanation:

-2m + 8 + m + 1 = 0

-m + 9 = 0

9 = m

3 0
3 years ago
What divisor is represented by the synthetic division below? A vertical line and horizontal line combine to make a L shape. Ther
g100num [7]

One of the ways of dividing polynomials is by synthetic division

The divisor of the synthetic division is x + 5

<h3>How to determine the divisor of the division</h3>

From the question, we understand that:

Entry -5 is on the outside to the left of the shape

The entry represents the zero of the divisor.

Next, we set this entry to the variable (assume the variable is x)

So, we have:

x = -5

Add 5 to both sides

x + 5= 0

Hence, the divisor of the synthetic division is x + 5

Read more about synthetic division at:

brainly.com/question/24662212

8 0
2 years ago
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Morgan has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $43, before dis
rewona [7]

Answer:

20%

43*0.8=34.4

Hope This Helps!!!

6 0
2 years ago
A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of
True [87]
Let x = roller coaster ticket
let y = boat ride ticket

x + y = 10
4x + 3y = 37

x = 10 - y
4x + 3y = 37
4(10-y) + 3y = 37
40 - 4y + 3y = 37
-y = 37 - 40
-y = -3
y = -3/-1
y = 3

x = 10 - y
x = 10 - 3
x = 7

x = 7 ; y = 3

4x + 3y = 37
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6 0
3 years ago
Factor the expression completely. 6×3- 4×2 – 16x A. 0 B. 2x(3×2 – 2x – 8) C. 2x(3x + 4)(x – 2) D. 4x(2x + 1)(x – 4) E. 2x(2×2 +
Ghella [55]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

6x³ - 4x² - 16x

To factorize the expression first factor out the GCF out

The GCF in the expression is 2x

That's

2x( 3x² - 2x - 8)

Next Factorize the terms in the bracket

To factorize write - 2x as a difference

that's

2x( 3x² + 4x - 6x - 8)

<u>Factor out x from the expression</u>

2x [ x( 3x + 4) - 6x - 8 ]

<u>Next factor out - 2 from the expression</u>

2x [ x ( 3x + 4) - 2( 3x + 4) ]

<u>Factor out 3x + 4 from the expression</u>

We have the final answer as

<h3>2x( 3x + 4)( x - 2)</h3>

Hope this helps you

4 0
3 years ago
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