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rusak2 [61]
3 years ago
10

Select the correct responses in the table. The relationship between two numbers is described below, where x represents the first

number and y represents the second number. The square of the first number is equal to the sum of the second number and 16. The difference of 4 times the second number and 1 is equal to the first number multiplied by 7. Select the equations that form the system that models this situation. Then, select the solution(s) of the system.
​

Mathematics
1 answer:
zhenek [66]3 years ago
3 0

9514 1404 393

Answer:

  • x² = y + 16
  • 4y - 1 = 7x
  • (5, 9)

Step-by-step explanation:

Writing equations from words is mostly a matter of understanding what the English words mean.

If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:

  x² = y + 16 . . . . the first equation

The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...

  4y -1

This is equal to the first number (x) multiplied by 7, so ...

  4y -1 = 7x . . . . the second equation

__

These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...

  (x, y) = (5, 9)

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Soleil and Malvin each work a job. Soleil starts with $700 and makes $100 per day. Malvin starts out with $200 and makes $120 pe
Goshia [24]

Answer:

Soleil and Malvin would have $ 5,000 all together after 13 days.

Step-by-step explanation:

Since Soleil and Malvin each work a job, and Soleil starts with $ 700 and makes $ 100 per day while Malvin starts out with $ 200 and makes $ 120 per day, to determine after how many days will they have at least $ 5000 all together it must be done the following calculation:

5,000 - 700 - 200 = 4,100

200X + 120X = 4,100

320X = 4,100

X = 4,100 / 320

X = 12.8

So Soleil and Malvin would have $ 5,000 all together after 13 days.

5 0
3 years ago
The perimeter around the gym is 2718 feet. What is the perimeter in yards? <br> yards
vivado [14]

Answer:

906

Step-by-step explanation:

7 0
3 years ago
Solve the quadratic by factoring.<br> x^2-5x-31=5
torisob [31]

Answer:

x =  - 4\: or \: x =  9

Step-by-step explanation:

make one side equal to zero:

{x}^{2}  - 5x - 36 = 0

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{x }^{2}  - 9x + 4x - 36 = 0

factorise

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5 0
3 years ago
WHOEVER IS RIGHT GETS BRAINLIST
pochemuha
The answer to the first question is b
I don’t know the answer to the second one sorry
4 0
3 years ago
What is the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively
ki77a [65]

The profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

<h3>Profitability index</h3>

First step is to find the Net present value (NPV)  of the given cash flow using discount rate PVF 16% and PV of cash flow which in turn will give us net present value of 49.7.

Second step is to calculate the profitability index

Profitability index  = 49.7/340

Profitability index  = .15×100

Profitability index=15%

Therefore the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

Learn more about Profitability index here:brainly.com/question/3805108

#SPJ4

3 0
1 year ago
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