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vredina [299]
3 years ago
11

Use the substitution method to solve the system of equations. Choose the

Mathematics
1 answer:
bixtya [17]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Given the 2 equations

2x - y = 10 → (1)

2x - 2y = 4 → (2)

Rearrange (2) expressing 2x in terms of y by adding 2y to both sides

2x = 4 + 2y

Substitute 2x = 4 + 2y into (1)

4 + 2y - y = 10, that is

4 + y = 10 ( subtract 4 from both sides )

y = 6

Substitute y = 6 into either of the 2 equations and solve for x

Using (1)

2x - 6 = 10 ( add 6 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Solution is (8, 6 ) → C

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Your are designing a rectangular birthday card for a friend. You want the card's length to be 1 inch more than twice the card's
klemol [59]

The width of the card to the nearest tenth of an inch is 6.15 inches

<h3>Area of rectangle</h3>

  • Width = x
  • Length = 2x + 1
  • Area = 88 square inches

Area of a rectangle = Length × Width

88 = (2x + 2) × x

88 = 2x² + 2x

2x² + 2x - 88 = 0

x = -b ± √b² - 4ac / 2a

= -2 ± √2² - 4(2)(-88) / 2(2)

= -2 ± √4 - (-704) / 4

= -2 ± √708 / 4

= -1/2 ± √177/2

x = 6.15 or -7.15 inches

The width of the rectangle can not be negative, so, 6.15 inches is the width.

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2 years ago
I need a teacher to help or a student who good at Graphing
rodikova [14]

Answer:

A

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It shifts the red graph 1 unit to the right. This is f(x-1).

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3 years ago
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