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Sever21 [200]
1 year ago
11

6x-4bracket(2x-5)>8 or 5x+9<2x-21

Mathematics
1 answer:
Yuri [45]1 year ago
4 0

The solutions to the given inequalities are x < 6 OR x < -10

<h3>Linear Inequalities </h3>

From the question, we are to solve the given inequalities

The given inequalities are

6x - 4(2x - 5) > 8 or 5x + 9 < 2x - 21

First solve,

6x - 4(2x - 5) > 8

Clear the bracket

6x -8x + 20 > 8

6x - 8x > 8 - 20

-2x > -12

Divide both sides by -2 and flip the sign,

That is,

-2x/-2 > -12/-2

x < 6

For,

5x + 9 < 2x - 21

Subtract 2x from both sides

5x - 2x + 9 < 2x - 2x -21

3x < -21 -9

3x < -30

Divide both sides by 3

3x/3 < -30/3

x < -10

Hence, the solutions to the given inequalities are x < 6 OR x < -10

Learn more on Inequalities here: brainly.com/question/246993

#SPJ1

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At Cell 4U it would cost $250 with accessories 
At Data House it would cost $245 with accessories.
He should buy a phone from Data house because it will be 5 dollars cheaper
8 0
3 years ago
Find the value of x and the value of y for which (x,23) and (18,y) ate the points on the graph y=0.5x+15
shutvik [7]

Answer:

x=16; y=24

Step-by-step explanation:

for (x,23), 23=0.5x+15

x=16

for (18xy), y=0.5*18+15=24

8 0
3 years ago
Víctor claims that when 1/6 is divided by a fraction the result will always be greater than 1/6 find an example of a fraction th
Naddik [55]

Answer:

Step-by-step explanation:

Choose a random fraction less than 1. I will choose 1/4.

1/6 ÷ 1/4 = 1/6 × 4/1 = 4/6 = 2/3

2/3 > 1/6 so this example supports his claim.

Now chose a fraction greater than 1. I will choose 4/3

1/6 ÷ 4/3 = 1/6 * 3/4 = 3/24

3/24 < 1/6 so this contradicts his claim

6 0
2 years ago
Find g'​(t) for the function ​g(t) = 7/t^4
Alex17521 [72]

The differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

<h3>What is differentiation?</h3>

The method of determining the derivative, or rate of change, of a function in mathematics.is termed as the differentiation.

Given that:-

g(t)= \dfrac{7}{t^4}

The derivative will be calculated as:-

g'(t)=7   \dfrac{d}{dt}(t^{-4})\\\\\\g'(t)=7\times (-4t^{-5})\\\\\\g'(t)=\dfrac{-28}{t^5}

Therefore the differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

To know more about derivatives follow

brainly.com/question/954654

#SPJ1

3 0
2 years ago
22.a) A fruit vendor bought 1948 oranges on a Thursday and sold 750 of them on the same day.
iVinArrow [24]

Answer: Ksh 6144

Step-by-step explanation:

On Thursday, a fruit vendor bought 1948 oranges on a Thursday and sold 750. The number of oranges left will be: = 1948 - 750 = 1198

On n Friday, he sold 240 more oranges than on Thursday. This means the number of oranges sold is: = 240 + 750 = 990.

The number for f oranges left will then be: = 1198 - 990 = 208

On Saturday, he bought 560 more

oranges, the total oranges that the vendor has now will be:

= 208 + 560 = 768

Since sold all the oranges he had at a price of Ksh. 8 each, the amount if money made will be:

= Ksh 8 × 768

= Ksh 6144

The vendor made Ksh 6144

7 0
2 years ago
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