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rusak2 [61]
2 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]2 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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Answer:

Step-by-step explanation:4n+3=60

5 0
3 years ago
How can I solve this equation 6+7x=55
lorasvet [3.4K]

You could solve it with these two steps:

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If you'll do that, the solution will be right there on the paper in front of you.
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7 0
3 years ago
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The cost of 4 cartons of fresh cream is $5.76. What is the cost of 13 such cartons? $16.25 $18.72 $18.76 $36.04
Natasha_Volkova [10]

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A

Step-by-step explanation:

8 0
3 years ago
A rectangular bedroom has an area of 117 ft. the length of the bedroom is 4ft more than the width. find the length and the width
MrMuchimi

Answer: Length = 13 ft. , Width = 9 ft.

Step-by-step explanation:

Rectangle area = Length x width

Area = 117 ft.

Length = x + 4

Width = x

To solve

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x^2 + 4x - 117 = 0

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x = 9, -13

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Length

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5 0
2 years ago
Given the equation f(x) = (x + 3)2 – 8, fill in the blanks:
Neko [114]
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Axis of symmetry: x = -3
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4 0
3 years ago
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