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HACTEHA [7]
1 year ago
13

Supplemental Activities - Ch 1

Mathematics
1 answer:
Deffense [45]1 year ago
8 0

x \geq -9; x \leq 6 or in interval notation [-9,6]

To find out what are the steps in solving the below inequality:

Given equation is 2x - 3 > 15

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

−15≤2x-3≤15

First, subtract 3  from each segment of the system of equations to isolate the x term while keeping the system balanced:

−15−3≤2x-3−3≤15−3

−18≤2x-6≤12

−18≤2x-6≤12

Now, divide each segment of the system by 2 to solve for x while keeping the system balanced:

-\frac{18}{2}\leq \frac{2x}{2} \leq \frac{12}{2}

-9 \leq x \leq 6

or

x \geq -9; x \leq 6

or in interval notation [-9,6]

on the horizontal axis.

The lines will be a solid line because the inequality operators contain "or equal to" clauses.

We will shade between the lines to show the interval:

Hence the steps to solve an inequality has been show

To learn more about inequalities click here brainly.com/question/24372553

#SPJ9

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Answer:

The temperature needs to rise <u>1.5</u> degree C to reach 0 degree C.

Step-by-step explanation:

-1.5+<u>1.5</u>=0

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Which functions could represent a reflection over the y axis of the given function
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Answer:

g(x) = 1/2*(4)^(–x)          and

g(x) =1/2*(1/4)^(x)

Please, see attached picture.

Step-by-step explanation:

Your full question is attached in the picture below

To easily solve this problem, we can graph each equation and see, which one represents a reflection of the function over the y axis.

See, second image.

The answers are

g(x) = 1/2*(4)^(–x)          and

g(x) =1/2*(1/4)^(x)

4 0
3 years ago
What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches ? Rounded to the nearest tenth .
Arisa [49]

Answer:

141.4

Step-by-step explanation:

Plug the numbers into the formula, V=πr2h, you know that your radius is 3 and your height is 5, so you get V=π(3)2(5), you just then put it in the calculator. You get 141.37, round to the nearest tenth 141.4

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Can someone PLEASE solve this quadratic equation by factoring with the steps? :(
salantis [7]

Answer:

There are no simple factors to this expression.  You can however solve for x, giving you:

x = -1 ± √(y + 3)

Step-by-step explanation:

There is no simple pair of factors to this equation, so we'll have to go through the full process.  You can see that by observing that there is no pair of rational numbers that add to make 2 and multiply to make -2.  We can however solve for x:

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