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Vika [28.1K]
3 years ago
10

Solve the inequality. 4│x + 5│ - 2 ≤ 10

Mathematics
2 answers:
castortr0y [4]3 years ago
6 0

Step-by-step explanation: To solve this absolute value inequality,

our goal is to get the absolute value by itself on one side of the inequality.

So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.

Now divide both sides by 3 and we have |x + 5| ≤ 3.

Now the the absolute value is isolated, we can split this up.

The first inequality will look exactly like the one

we have right now except for the absolute value.

For the second one, we flip the sign and change the 3 to a negative.

So we have x + 5 ≤ 3 or x + 5 ≥ -3.

Solving each inequality from here, we have x ≤ -2 or x ≥ -8.

kati45 [8]3 years ago
3 0

Answer:

4x+20 -2<10

4x+18+10

4x+28

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Noelle has set a goal to run more than 50 mi this month. So far, she has run 10 mi. Her average running speed is 5 mph.
Vladimir79 [104]

Answer:

To meet her goal, Noelle must run more than 8\ hours the rest of the month

Step-by-step explanation:

Let

h-------> the number of hours Noelle runs for the rest of the month

we know that

The inequality that represent the situation is

10+5h>50

Solve for h

Subtract  10 both sides

5h> 50-10

5h> 40

Divide by 5 both sides

h> 8\ hours

3 0
3 years ago
A a fraction close to but greater than 1 1/2
Bad White [126]

Answer:

Step-by-step explanation:

1 1/2 = 3/2

6 0
3 years ago
Can y’all help with this :)))))
cricket20 [7]
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1.) 27/x^3

2.) a^8/b^12

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6.) 64k^4/k^6

7.) 1,000a^9b^6/a^6b^9

8.) 81x^21/625

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7 0
3 years ago
A random sample of 7 fields of durum wheat has a mean yield of 29.8 bushels per acre and standard deviation of 3.62 bushels per
meriva

Answer:

CI = 29.8 ± 3.53

Critical value is z = 2.58

Step-by-step explanation:

First of all let's find margin of error. It is given by the formula;

ME = zσ/√n

We are given;

Standard deviation; σ = 3.62

Sample size; n = 7

Mean; x¯ = 29.8

Now, z-value for 99% Confidence level is 2.58

Thus;

ME = (2.58 × 3.62)/√7

ME = 3.53

CI is written as;

CI = x¯ ± ME

CI = 29.8 ± 3.53

Critical value is z = 2.58

5 0
3 years ago
The length of a page in a yearbook is 7 inches. The top margin is 1/2 inch, and the bottom margin in 3/4 inch. What is the lengt
Andrei [34K]
Can you be more specific?
 
7 0
3 years ago
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