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2 years ago

Which ordered pair makes both inequalities true? y > –2x + 3 y < x – 2 (0,0) (0,–1) (1,1) (3,0)

Mathematics

2 answers:

gregori [183]2 years ago

8 0

Answer:

(3,0)

Step-by-step explanation:

Given system of inequalities,

y > -2x + 3

y < x - 2

At (0,0),

0 > -2(0) + 3 ( False )

0 < 0 - 2 ( False )

At (0, -1),

- 1 > -2(0) + 3 ( False )

-1 < 0 - 2 ( False )

At (1, 1),

1 > -2(1) + 3 ( False )

1 < 1 - 2 ( False )

At (3, 0),

0 > -2(3) + 3 ( True )

0 < 3 - 2 ( True )

Hence, the order pair (3, 0) makes both inequalities true.

Last option is correct.

m_a_m_a [10]2 years ago

7 0

The answer is (3,0).

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Max has cashews that sell for $4.75 a pound and peanuts that sell for $2.75 a pound. How much must he mix to get 80 pounds of a

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Answer:

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Step-by-step explanation:

Let x = the pounds of cashews.

Then 80 – x = the pounds of peanuts

Value of cashews + value of peanuts = volume of mixture

x×4.75 + (80 – x)×2.75 = 80×3 Remove parentheses

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=====

Check:

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3 years ago

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11111nata11111 [884]

16+5x =8x-5

Reorder the terms
16+5x = -5+8x
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Move all terms containing x to the left, all other terms to the right.
Add -8x to each side of the equation.
16+ -3x = -5 + 8x + -8x

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