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hjlf
2 years ago
7

Which values from this set {−12, −9, −3, 0, 3, 6} satisfy this inequality?

Mathematics
1 answer:
Vesna [10]2 years ago
7 0

The values -3, -9 and -12 satisfy the inequality.

In this question we evaluate each element of the set to determine whether value belongs to the inequation given on statement:

x = 0

-13\cdot 0 + 3 \ge 6

3\ge 6 (FALSE)

x= -3

-13\cdot (-3) +3 \ge 6

42\ge 6 (TRUE)

x = -9

-13\cdot (-9)+3 \ge 6

120\ge 3 (TRUE)

x = -12

-13\cdot (-12) +3 \ge 6

159 \ge 6 (TRUE)

The values -3, -9 and -12 satisfy the inequality.

We kindly invite to see this question on inequalities: brainly.com/question/17675534

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A plastic box has a length 4 cm longer than its width. The area of the rectangular top of the box is 77 square cm. Find the leng
finlep [7]

Answer: the length is 11 cm.

The width is 7 cm.

Step-by-step explanation:

Let L represent the length of the rectangular plastic box.

Let W represent the width of the rectangular plastic box.

The area of the rectangular top of the box is 77 square cm. This means that

LW = 77- - - - - - - ;- - - -1

The plastic box has a length 4 cm longer than its width. This means that

L = W + 4

Substituting L = W + 4 into equation 1, it becomes

(W + 4)W = 77

W² + 4W = 77

W² + 4W - 77 = 0

W² + 11W - 7W - 77 = 0

W(W + 11) - 7(W + 11) = 0

W - 7 = 0 or W + 11 = 0

W = 7 or W = - 11

Since the width cannot be negative, then W = 7cm

L = 77/7 = 11 cm

4 0
3 years ago
Which quadrilateral is a trapezoid?<br> B.<br> с<br> А<br> G
Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
While walking between gates at an airport, you notice a child running along a moving walkway. Estimating that the child runs at
tekilochka [14]

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

<h3>How to estimate the speed of the moving walkway relative to the airport terminal?</h3>

Let x be the speed of the walkway.

(2.8 + x) = speed of child moving in direction of the walkway

(2.8 - x) =  speed of child moving against the direction of the walkway

Travel time = distance/speed

Travel time of child moving in direction of walkway = 23/(2.8+x)

Total elapsed time given = 29s

23/(2.8 + x)+ 23 / (2.8-x) = 29

LCD = (2.8 + x)(2.8 - x)

23(2.8 - x) + 23(2.8 + x) = 29(2.8 + x)(2.8 -x)

simplifying the equation, we get

23*2.8-23x+23*2.8+23x=29(2.8^2-x^2)

23(2.8+2.8)/29=2.8^2-x^2

x^2=(2.8)^2-(23*5.6)/29)=3.4

x=\sqrt{3.4}=1.84m/s

Speed of walkway = 1.84 m/s

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

To learn more about Speed refer to:

brainly.com/question/4931057

#SPJ4

4 0
2 years ago
I’m not asking for much :(
Vinvika [58]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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(1000÷1)×10-5000 Giving Brainliest​
Y_Kistochka [10]
5,000 is the answer to the equation
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