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soldi70 [24.7K]
3 years ago
10

Determine whether the ordered pair is a solution to the inequality. (-1, -1); y Greaterthanorequalto - x + 7 (5, 3); y > 3/4

x - 5
Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

No and Yes.

Step-by-step explanation:

The inequation is y ≥-x+7 and the pair is (x,y)=(-1,-1). Then:

-1≥ -(-1)+7

-1 ≥ 1+7

-1 ≥ 8, but this is not true, so (-1,-1) is not a solution of y ≥-x+7.

On the other hand, the inequation is y>(3/4)x-5 and the pair is (5,3). Then:

3>(3/4)(5)-5

3>(15/4)-5

3> -5/4 and this is true, so (5,3) is a solution of  y>(3/4)x-5.

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What is the area of this composite shape? Enter your answer in the box. in²
enyata [817]

Answer:

Area = 53 in²

Step-by-step explanation:

area of a box = 8 * 6 = 48 in²

area of a triangle = 1/2 * b * h

b = 6 - 4 = 2 in

h = 13 - 8 = 5 in

area of a triangle = 1/2 * 2 * 5 = 5 in²

total area = area of a triangle + area of a box

total area = 5 in² + 48 in²

total area = 53 in²

6 0
3 years ago
plzzz help A model train is on a track 100 cm from its starting point. Turning a switch displaces the train either forward or ba
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Explanation:

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The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.

6 0
4 years ago
six scholars want to share 9 bags of popcorn.how much popcorn will each scholar get?.draw a model to prove your answer
gregori [183]

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4 years ago
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dusya [7]

Answer:

x = 1, x = -1

Step-by-step explanation:

x^2 - 3x - 1 = -3x

Simplify...

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Use this formula to factor: (a-b)(a+b) = a^2 - b^2

So x^2 - 1 will factor to...

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Solve for the equation: (x-1)(x+1) = 0

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