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Elodia [21]
3 years ago
13

How do you solve one of these???

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

i can not answer the four questions for you but i can give you an example of how to solve it

The inequality

|x|<2

Represents the distance between x and 0 that is less than 2

Whereas the inequality

|x|>2

Represents the distance between x and 0 that is greater than 2

You can write an absolute value inequality as a compound inequality.

$$\left | x \right |<2\: or−2<x<2

This holds true for all absolute value inequalities

|ax+b|<c,wherec>0=−c<ax+b<c

|ax+b|>c,wherec>0=ax+b<−corax+b>c

You can replace > above with ≥ and < with ≤.

When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.



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Need help on thissss
erma4kov [3.2K]

Answer:

i think the answer might be b if not i'm sorry

Step-by-step explanation:

5 0
2 years ago
It is generally believed that the mean value of the district's total SAT score distribution is equal to 1200 (the null hypothesi
g100num [7]

Answer:

The corresponding p-value, is p = 1

Step-by-step explanation:

The maximum score SAT score, n =  1,600

The mean of the district's total SAT score distribution = 1,200

The claim of one of the districts principal, is the that mean of the district's total SAT score distribution ≠ 1,200

Using proportions, we have;

p = 1,200/1,600 = 0.75

q = 1 - p = 0.25

The margin of error, E = Z√(p·q/n)

∴ E = 5% = Z×√((0.75 × 0.25)/1,600)

z = 0.05/(√((0.75 × 0.25)/1,600)) ≈ 4.61880

Therefore, the corresponding p-value, p = 1

7 0
2 years ago
Two identical triangles form a parallelogram with a base of 8 Inches and a height of 6 inches.What is the area of one triangle?
dedylja [7]

Answer: The area of the triangle is 24 square inches

Step-by-step explanation:

Hi, since the 2 triangles form a parallelogram ( see attachment) we have the base and height of the triangles, we have to apply the next formula:

Area of a triangle; (base x height) /2

Replacing with the values:  

A = (8x6 )/2

A = 48 /2

A = 24 square inches

The area of the triangle is 24 inches

Feel free to ask for more if needed or if you did not understand something.

4 0
2 years ago
Make a the subject of a2+b2=c2
wel

Answer:

a=\sqrt{c^2-b^2

⇒ a=\sqrt{(c+b)(c-b)}        [Factorized form]

Step-by-step explanation:

Given expression:

a^2+b^2=c^2

We need to make a the subject.

In order to do that we need to solve the expression for a in terms of b and c

We have,

a^2+b^2=c^2

Subtracting both sides by b^2

a^2+b^2-b^2=c^2-b^2

a^2=c^2-b^2

Taking square root both sides in order to remove square of a

\sqrt{a^2}=\sqrt{c^2-b^2}

a=\sqrt{c^2-b^2

The difference of squares can be factorized and written  as:

a=\sqrt{(c+b)(c-b)}    [difference of squares x^2-y^2=(x+y)(x-y) ]

4 0
2 years ago
Complete the following sentence. The slope of the graph of y = 5 x is ___
Y_Kistochka [10]

Answer:

We conclude that the slope of the graph of y = 5 x is 5.

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the line

y = 5x

comparing with the slope-intercept form of the line equation

The slope of the line = m = 5

Therefore, we conclude that the slope of the graph of y = 5 x is 5.

4 0
2 years ago
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