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Alex17521 [72]
3 years ago
11

Which lists all the integer solutions of the equation |x| <3

Mathematics
1 answer:
wlad13 [49]3 years ago
7 0

Answer:

c -2 -1 0 1 and 2

Step-by-step explanation:

abs (x) < 3

Absolute value equations have 2 solutions, one positive and one negative ( remember to flip the inequality when taking the negative solution).

x<3 and x>-3

-3 <x<3

The integer solutions are -2,-1,0,1-2

We do not include 3 because there is no equals sign on the inequality.


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Help please...........<br><br><br>1. y = 3 x<br> y = -8x<br><br><br>2. y = - 7x<br> y =-4x - 12
geniusboy [140]
1. -8x = 3x

-11x = 0

x= 0

y= 3(0)= 0

(0, 0)

2. -7x = -4x - 12

-3x = -12

x = 4

y = -7(4)= -28

(4, -28)
7 0
3 years ago
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the value 3 is an upper bound for the zeros of the function shown below. f(x)=-3x^3+20x^2-36x+16 True or Flase
Stels [109]
The answer to this question is false 
8 0
4 years ago
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A triangle has sides with lengths of 14 centimeters, 15 centimeters, and 19 centimeters. Is it a right triangle?
Svetlanka [38]
Yes

15+14 > 19 true
15+19 > 14 true
14+19 > 15 true

If all the statements are true then it’s a right triangle.
6 0
3 years ago
What is the greatest perimeter of a rectangle with an area of 39 square feet
harina [27]
There is no greatest perimeter of a rectangle with an area of 39 square feet.

To see why, consider the length of 3 and width of 13. Area would be 39 and perimeter would be 3 + 3 + 13 + 13 = 32

Now consider length of 3/2 = 1.5 and 13·2 = 26. Then area is same but perimeter is 1.5 + 1.5 + 26 + 26 = 55.

Now we can just repeatedly half the length and double the width.

L = 3.0, W = 13
⇒ A = 39, P = 32.0 

L = 1.5, W = 26   
⇒ A = 39, P = 55.0 

L = 0.75, W = 52   
⇒ A = 39, P = 105.5 

L = 0.375, W = 104  
⇒ A = 39, P = 208.75 

L = 0.1875, W = 208  
⇒ A = 39, P = 416.375 

L = 0.09375, W = 416  
⇒ A = 39, P = 832.1875 

L = 0.046875, W = 832  
⇒ A = 39, P = 1664.09375 

L = 0.0234375, W = 1664 
⇒ A = 39, P = 3328.046875 

L = 0.01171875, W = 3328 
⇒ A = 39, P = 6656.0234375 

L = 0.005859375, W = 6656 
⇒ A = 39, P = 13312.01171875

 Notice how P just kept growing. That's because width grow much faster than length <span>shrinking, </span>so P would grow endlessly.

Hope this helps.
6 0
3 years ago
Find the slope using the formula LaTeX: \frac{y_2-y_1}{x_2-x_1}y2−y1x2−x1 (9, 10) and (7, 2)
guapka [62]

Answer:

<h2>slope = 4</h2>

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (9, 10) and (7, 2).

Substitute:

m=\dfrac{2-10}{7-9}=\dfrac{-8}{-2}=4

7 0
4 years ago
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