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Arturiano [62]
2 years ago
15

A company models its net income, in thousands of dollars, with the function f(x) = 9x2 - 54x - 144, where x is the number of uni

ts of its product sold.
How many units of its product does the company need to sell in order for the net income to equal $0?​
Mathematics
1 answer:
Bond [772]2 years ago
4 0

Answer:

x=9 and x=-2

Step-by-step explanation:

GFC = 9 => 9(x²-6x-16) =0

9(x-8)(x+2) = 0

x-b=0    x+2= 0

x=8 and x = -2

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c. 32 pairs
d. $190.45
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8 0
2 years ago
Read 2 more answers
If 15% of the customer's total is $22.05, then the customer's total is
Harrizon [31]

<u>Answer</u>:  If 15% of the customer's total is $22.05, then the customer's total is <u>$147</u>.

<u>Step-by-step explanation</u>:

Let x be the customer's total amount.

It is given that 15% of the customer's total = $22.05

⇒15% of x= $22.05

\Rightarrow0.15x=\$22.05\\\\\text{Divide 0.15 on both sides, we get}\22.05\\\\\Rightarrow x=\frac{22.05}{0.15}\\\\\Rightarrow x=\$147

Therefore, If 15% of the customer's total is $22.05, then the customer's total is <u>$147</u>.

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2 years ago
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n200080 [17]
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4 0
2 years ago
What is the length of ac?
leonid [27]

Answer:

Step-by-step explanation:

Given triangles are similar, so we setup a proportion  

(140-x)/81 = x/9

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7 0
2 years ago
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The ballpark made a total of $15,000 from ticket sales at Wednesday's game. The ballpark charges $20 for each adult ticket and $
IRISSAK [1]
<h3>Answer:</h3>

equations

  • 20a +10c = 15000
  • c = 3a

solution

  • 300 adult
  • 900 children's
<h3>Step-by-step explanation:</h3>

Let "a" and "c" represent the numbers of adult and children's tickets sold, respectively. The problem statement tells us two relationships between these values:

... 20a +10c = 15000 . . . . . . total revenue from ticket sales

... c = 3a . . . . . . . . . . . . . . . . relationship between numbers of tickets sold

Using the expression for c, we can substitute into the first equation to get ...

... 20a +10(3a) = 15000

... 50a = 15000

... a = 15000/50 = 300 . . . . . adult tickets sold

... c = 3·300 = 900 . . . . . children's tickets sold

8 0
2 years ago
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