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katovenus [111]
2 years ago
5

The value of a company’s stock is represented by the expression x2 – 2y and the company’s purchases are modeled by 2x + 5y. The

company’s goal is to maintain a stock value of at least $5,000, while keeping the purchases below $1,000. Which system of inequalities represents this scenario?
A. x2 – 2y > 5000

2x + 5y < 1000

B. x2 – 2y > 5000

2x + 5y ≤ 1000

C. x2 – 2y ≥ 5000

2x + 5y < 1000

D. x2 – 2y ≤ 5000

2x + 5y ≤ 1000
Mathematics
1 answer:
hodyreva [135]2 years ago
3 0

The system of equations that represents the situation is given by:

C. x² – 2y ≥ 5000, 2x + 5y < 1000

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In tis problem, the company's stock is represented by the expression x² - 2y, and the goal is a stock value of at least $5,000, hence the first equation is given by:

x² – 2y ≥ 5000

The purchases are represented by 2x + 5y, and the goal is to keep it below $1,000, hence the second equation is given by:

2x + 5y < 1000

This means that option C is correct.

More can be learned about a system of equations at brainly.com/question/24342899

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Sarah enjoys cutting lawns and charges $20 for each small lawn and $30 for each large lawn. Sarah earned $140 for mowing 6 yards
saul85 [17]

x+y=6 and 20x+30y=140 can be used to determine the number of each type of lawn mowed by Sarah.

Step-by-step explanation:

Given,

Charges for cutting small lawns =$20

Charges for cutting large lawns = $30

Total yards mowed = 6

Total amount earned = $140

According to given statement;

x+y=6    Eqn 1

20x+30y=140    Eqn 2

x+y=6 and 20x+30y=140 can be used to determine the number of each type of lawn mowed by Sarah.

Keywords: linear equation, addition

Learn more about linear equations at:

  • brainly.com/question/1597065
  • brainly.com/question/1598227

#LearnwithBrainly

7 0
4 years ago
a company is offering a job with a salry of 30000 for the first year and a 5% raise each year after that If the 5% raise continu
stellarik [79]

Figure out 5% of 30,000: .05 x 30,000 = 1,500

Multiply 1,500 by the number years, but subtract the first year (as you don't receive a bonus) : 1,500 x 39 =  58,500

Now add the bonus with the initial salary: 58,500 + 30,000 = 88,500.

THE ANSWER IS $88,500!!! :)

5 0
3 years ago
5 to the power of 5 divided by 5 to the power of 3
Lemur [1.5K]

Answer:

25

Step-by-step explanation:

5 to the power of 5 is 3125.

because you do 5x5x5x5

then you do 5x5x5 which is 125

3125/125 = 25

6 0
3 years ago
Given f(x)=4x+6 and g(x)=9x+9<br> then what is f(g(−6))?
irakobra [83]
To solve this question, you can break it into 2 parts. First evaluate the function g(X)=9x+9 for g(-6). Which is g(-6) = 9(-6)+9 = -45. Then evaluate f(-45). F(-45)= 4(-45)+6= -180+6= -174. The final answer for f(g(-6))= -174.
5 0
3 years ago
Read 2 more answers
5/6 = 1/3+d and x/x is a fraction
Alik [6]

\dfrac{1}{3}+d=\dfrac{5}{6}\qquad|-\dfrac{1}{3}\\\\d=\dfrac{5}{6}-\dfrac{1}{3}\\\\d=\dfrac{5}{6}-\dfrac{1\cdot2}{3\cdot2}\\\\d=\dfrac{5}{6}-\dfrac{2}{6}\\\\d=\dfrac{5-2}{6}\\\\d=\dfrac{3}{6}\\\\d=\dfrac{3:3}{6:3}\\\\\boxed{d=\dfrac{1}{2}}

7 0
3 years ago
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