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kozerog [31]
3 years ago
10

Which inequality is equivalent to |x-4|<9

Mathematics
2 answers:
Lorico [155]3 years ago
8 0

Answer with explanation:

The Given Inequality is

  |x-4|<9

Modulus of a number yields always a positive value.

→|x-4|= x-4, when, x-4≥0

                     That is , x≥4.

         = -(x-4), when, x-4<0

                    means, x<4.

     it can be Written as

 → -9<x-4<9

→ -9+4 < x -4+4 < 9+4

→ -5<x<13

→x∈(-5,13)

AnnyKZ [126]3 years ago
6 0

The answer is –9 < x – 4 < 9

option B in edg.

please give brainliest

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Find two consecutive odd integers such that seven times the first equals five times the second.
fredd [130]

Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

8 0
3 years ago
Find the sale price of the item. Round to two decimal places if necessary.
Angelina_Jolie [31]

Answer:

$131.71

Step-by-step explanation:

Given:

Original price: $234.45

Markdown: 78%

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Actual Selling Price: 131.71

Markdown: 102.74

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7 0
3 years ago
Graph on a number line. x≥-4
gladu [14]

Answer

Circle is filled in because it is greater than or EQUAL to. The arrow goes to the right because it is greater than -4

3 0
3 years ago
The U.S. Post Office is interested in estimating the mean weight of packages shipped using the overnight service. They plan to s
pshichka [43]

Answer: A. Approximately 0.017 pounds

Step-by-step explanation:

Formula to find the margin of error :

E=z^*\dfrac{s}{\sqrt{n}} , where z* = critical value for confidence interval , s= standard deviation , n= sample size.

As per given , we have

s= 0.15 pound

n= 300

Critical value for 95% confidence = 1.96

Then, Margin of error for 9%% confidence interval will be :

E=(1.96)\dfrac{0.15}{\sqrt{300}}\\\\=0.0169740979142\approx0.017

Hence, they can expect a margin error of 0.017 pound (approximately.)

Thus , the correct answer is A. Approximately 0.017 pounds

5 0
3 years ago
Help me on this question please?
USPshnik [31]
I'm in middle school (8th grade) and this is relatively easy, for me, so...

if each batch of muffins can make 6 muffins, and she makes 2.5 batches of blueberry muffins which will make 15 muffins, she will need to make 7.5 batches of banana muffins to equal 45 muffins and 45 + 15 = 60 muffins.

Here is the math part of it......

1 batch = 6 muffins

She makes 2.5 batches,  2.5 * 6 = 15 muffins

x*6 = 45
divide 6 by both sides to get this

x = 7.5

She needs to make 7.5 batches in order to make the rest of the 60 muffins
8 0
3 years ago
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