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Juliette [100K]
3 years ago
8

Solve the equation for x. 6x = –54

Mathematics
2 answers:
Romashka [77]3 years ago
4 0

Divide each term by 6 and simplify.

x = −9

Fed [463]3 years ago
3 0

Answer:

x=-9

Step-by-step explanation:

6x = –54

To find x divide both sides by 6.

6x/6 = –54/6

x= -9

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What is the range of y = –3sin(x) – 4?
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Answer:

The required range of the function y=-3\sin (x)-4 is [-7,-1]

Step-by-step explanation:

Given : Function y=-3\sin (x)-4

To find : What is the range of the given function?

Solution :

The range is defined as the variation in which any function is defined.

We know that the sin function lies between [-1,1]

-1\leq \sin x\leq 1  .....(1)

The required function is y=-3\sin (x)-4

Multiply equation (1) by -3

-3\leq -3\sin x\leq 3  .....(2)

Now, we subtract equation (2) by 4

-3-4\leq -3\sin x-4\leq 3-4  

-7\leq -3\sin x-4\leq -1  

Therefore, The required range of the function y=-3\sin (x)-4 is [-7,-1].

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A pump fills 25 of a tank in 23 hour. At this rate, how much of the tank will the pump fill in an hour?
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60% or 3/5 of the tank will be filled in an hour.

The pump will fill 2/5 of the tank in 2/3 hours.

In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.

<em>2/5 of tank        :            2/3 hours </em>

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Cross multiply to get:

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<em>Find out more at brainly.com/question/14336804.</em>

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