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Dmitriy789 [7]
1 year ago
15

Solve the inequity for x and identify the graph of its solution.|x+2|<2

Mathematics
1 answer:
sladkih [1.3K]1 year ago
3 0

Given:

|x + 2| < 2

Let's solve for x.

Given the absolute value, we have 2 conditions. They are:

x + 2 < 2 and x + 2 > -2

Let's find x for both conditions.

Condition 1:

x + 2 < 2

Subtract 2 from both sides:

x + 2 - 2 < 2 - 2

x < 0

Condition 2:

x + 2 > -2

Subtract 2 from both sides:

x + 2 - 2 > -2 - 2

x > -4

Therefore,

x < 0 and x > -4

In interval notation, we have the solution as:

(-4, 0)

The graph of the inequality is below:

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Suppose that f(x) is an EVEN function and let the integral f(x) dx from 0 to 1=5 and the integral f(x) dx from 0 to 7 =1. What i
Cerrena [4.2K]
<span>Since it's even, the integral from -7 to -1 is the same as the integral from 1 to 7.
</span><span>think about
x^2 from 0..1,its 1/3
from 0..7 its 7^3/3
from -1..7 its 7^3/3+1/3
</span>
<span>from -7..-1 of x^2 its -1/3+7^3/3 to get this without integrating we just do 7^3/3-1/3 which is the integral from 0..7 minus the integral from 0..1
</span><span>So the integral from 1 to 0 f(x) dx = 5 changes to the integral from 0 to 1 f(x) dx = -5 and you add it to the integral from 0 to 7 which is 1 making -4</span>
4 0
4 years ago
‼️10 points‼️
Tamiku [17]

Answer:

<h3>The answer is option D.</h3>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Slope of the line using points ( 5 , - 1) and

( - 5 , 2) is

m = 2+1/ -5-5 = - 3 / 10

Equation of the line using point ( 5 , - 1) is

y + 1 = -3/10(x - 5)

y = -3/10x + 3/2 - 1

The final answer is

<h3>y = - 3/10x + 1/2</h3>

Hope this helps you.

4 0
4 years ago
A
Anika [276]

Based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.

<h3>How to illustrate the information?</h3>

It should be noted that complementary angles are the angles that are equal to 90°.

Therefore, based on the information given, the expression will be illustrated thus:

19x + 6 + 9x = 90°

Collect like terms

28x = 90° - 6°

28x = 84

Divide through by 28

28x / 28 = 84/28

x = 3

Therefore, the value of HEB will be:

= 9x

= 9 × 3

= 27°

Therefore, based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.

Learn more about angles on:

brainly.com/question/25716982

#SPJ1

5 0
1 year ago
ASAP<br> -WILL MARK BRIANIST
tamaranim1 [39]

Answer:

4?

Step-by-step explanation:

im not sure but the question asks about types of bread, since none are listed, i am assuming they all have a different price so the $1 bread $2 bread $3 bread and $5 bread... sorry i couldn't help better!

6 0
3 years ago
A toy car has a mass of 2 kg and a speed of 6 m/s. How much kinetic energy does it have?
lutik1710 [3]

Answer:

A.40 J

Step-by-step explanation:

K. E. Is 1/2 multiply by mass x velocity square

M is 5kg, v is 4m/s

1/2 x5x4x4 equals 40joules.

3 0
3 years ago
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