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Masteriza [31]
3 years ago
7

Which of the following is the graph of the solution set of t – 4 ≥ 4t + 8 or 3t >14 – 4t?

Mathematics
1 answer:
Stells [14]3 years ago
4 0

Answer:

Option (C)

Step-by-step explanation:

There are two inequalities,

t - 4 ≥ 4t + 8 ------(1)

3t > 14 - 4t ------(2)

By simplifying inequality (1),

t - 4 ≥ 4t + 8

t ≥ 4t + 8 + 4

t ≥ 4t + 12

t - 4t ≥ 12

-3t ≥ 12

t ≤ \frac{12}{(-3)}

t ≤ -4

By solving inequality (2),

3t > 14 - 4t

3t + 4t > 14

7t > 14

t > \frac{14}{7}

t > 2

From the given graphs, Option (C) will be the answer.

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A rectangle measures(2x-1)cm by(x+2)cm. Given that the area of the rectangle is 63cm². find the value of x​
o-na [289]

Answer:

5cm

Step-by-step explanation:

A rectangle is a quadrilateral (4 sided polygon) with 2 opposite sides parallel and equal.

Area of a rectangle = length x breadth

Given that length = (2x - 1) , breadth = ( x + 2), Area = 63cm².

Since area = length x breadth

Area = (2x - 1) x ( x + 2)

(2x - 1)(x + 2) = 63

Expand the bracket

2x (x + 2) -1 ( x + 2) = 63

2x² + 4x - x - 2 = 63

2x² + 3x - 2 = 63

2x² + 3x -2 -63 = 0

2x² + 3x - 65 =0

We'll Solve the quadratic equation, we can solve using factorisation method.

Factor of -130 that is (- 65 x 2) that add up to +3 the coefficient of x

Factors = 13  and -10  

Rewrite equation

2x² - 10x + 13x - 65 = 0

Factorise

2x(x - 5) + 13 ( x - 5) = 0

2x + 13 = 0 or x - 5 = 0

2x = -13 or x = 5

Since we can't have a negative length then x = 5cm

I hope this was helpful, Please mark as brainliest  

5 0
3 years ago
Please help ill give brainliest
Levart [38]
F because the circle is enclosed and pointing to the right
7 0
3 years ago
Explain how to round 14 5/6 to the nearest whole number, using the number line as a tool. Use complete sentences in your answer.
tatuchka [14]

Answer:

15

Step-by-step explanation:

We know that a half is equal to 3/6. Therefore 5/6 is higher up on the number line than 0.5, and it should be rounded up

4 0
3 years ago
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In a toy​ store, the ratio of the number of dolls to the number of teddy bears is 6 : 5. If the store has 240​ dolls, how many t
grandymaker [24]

Answer:

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Step-by-step explanation:

D : TB

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Let the total number of dolls be 6x and the total number of teddy bears be 5x.

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A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has
Korvikt [17]
"Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week." because. 
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22.5x + 30n = 135 
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3 years ago
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