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2 years ago

Which value of x makes the inequality 2(8 – x) < 4 true? A. x = –16 B. x = –9 C. x = 4 D. x = 10

Mathematics

2 answers:

Alik [6]2 years ago

8 0

2(8 - x) < 4

Instead of testing each individual value of the inequality, let's solve it to determine which value makes it true.

Let's start by dividing both sides by 2.

2(8 - x)/2 < 4/2

8 - x < 2

Subtract both sides by 8

8 - x - 8 < 2 - 8

-x < -6

Multiply/Divide both sides by -1 (either one works)

[NOTE: Remember to reverse the inequality sign when dividing/multiplying by a negative number!]

x > 6

Thus, any x value that's greater than 6 will make the inequality true. That would be answer choice D. Happy studying~

myrzilka [38]2 years ago

6 0

Answer:

Step-by-step explanation:

If we plug in any negative number as x, the result will always be greater than 4, which rules out answers A and B

lets try plugging in 4 as x to test answer C:

2(8-4)

2(4)= 8

8 is greater than 4, therefore C is wrong.

Lets try 10 as X (answer D):

2(8-10)

2(-2)

-4

We know that -4 is less than 4, therefore it makes the inequality true! :)

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Amaya's test scores in Algebra 1 are 78 and 91. She has one more test left and wants to earn a B for the course, which is from 8

ICE Princess25 [194]

Let x be the score Amaya gets on the final test. She wants her average of all 3 tests to be between 80 and 89:

80 ≤ (78 + 91 + x) / 3 ≤ 89 

Multiply everything by 3: 
240 ≤ 78 + 91 + x ≤ 267 
240 ≤ 169 + x ≤ 267 

Subtract 169 from everything: 
240 - 169 ≤ x ≤ 267 - 169 
71 ≤ x ≤ 98 

Answer: 
She needs to score between 71 and 98 to get a B for the course.

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3 years ago

Which is the correct way to evaluate the expression 48 - (29-17)

Nadusha1986 [10]

Answer:

The correct way to evaluate this expression is my following the order of operations PEMDAS

P=Paranthesis

E=Exponents

M/D=multiply/divide

A/S=add/subtract

The first step in 48-(29-17) is to do what's inside the paranthesis

48-12 (29-17=12)

Then you would subtract 48-12

48-12=36

Your final answer is

Hope this helps ;)

8 0

3 years ago

Read 2 more answers

What is the range of this piecewise function

White raven [17]

Answer as a compound inequality: $-4 \le y < 2$

Answer in interval notation: [-4, 2)

=============================================

Explanation:

The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.

The lowest point occurs when y = -4. We include this value. So far we have $y \ge -4$ which is the same as $-4 \le y$

The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that $y < 2$

Combine $-4 \le y$ and $y < 2$ to get the compound inequality $-4 \le y < 2$

This says y is between -4 and 2, including -4 but excluding 2.

To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.

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Japanese 22 pirate for every two pirate ships he manages

Drupady [299]

Answer:

He should sell them he would be rich.

Step-by-step explanation:

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3 years ago

Help help please please

gtnhenbr [62]

✽ Hello there! ✽

4x+9<21

Move all the constants (numbers) to the right, using the opposite operation:

4x<21-9

4x<12

Divide both sides by 4 to isolate x:

x<3

<h2>Therefore, x<3 ✔︎</h2>

Hope this helps!

~Just a felicitous girlie

#HaveASplendidDay

$SilentNature$

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