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Vitek1552 [10]
3 years ago
12

How do you solve and graph |x+y|>1

Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0
Set up two inequalities for the absolute value inequality.
First inequality and second inequality: x + y > 1 or x + y < -1
Notice I used or between the inequalities. If your absolute value expression is greater than the constant, it is a disjunction.

Graph the individual inequalities on the same plane and that is your solution.

You might be interested in
How many rational numbers are between 1 and 6?
gregori [183]

one ans six are infinite

6 0
3 years ago
An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles.
Mazyrski [523]

Answer:

(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)

Ok, we have a rectangle of length x by r.

At the extremes of length r, we add two semicircles.

So the perimeter will be equal to:

Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).

The radius of the semicircles is r, and the perimeter of a circle is:

C = 2*pi*r

where pi = 3.14

Then the perimeter of the track is:

P = 2*x + 2*pi*r.

b) now we want to solve this for x, this means isolating x in one side of the equation.

P - 2*pi*r = 2*x

P/2 - pi*r = x.

c) now we have:

P = 660ft

r = 50ft

then we can replace the values and find x.

x = 660ft/2 - 3.14*50ft = 173ft

5 0
3 years ago
Subtract (-2x² +3x-5) from( 6x2 -4x+2)
Andreyy89

Answer:

8x² - 7x + 7

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

(6x² - 4x + 2) - (-2x² + 3x - 5)

<u>Step 2: Simplify</u>

  1. Distribute negative:                    6x² - 4x + 2 + 2x² - 3x + 5
  2. Combine like terms (x²):             8x² - 4x + 2 - 3x + 5
  3. Combine like terms (x):               8x² - 7x + 2 + 5
  4. Combine like terms (Z):              8x² - 7x + 7
8 0
3 years ago
Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $450. Write and graph an equat
aliina [53]

The equation that models the situation is 15x + 9y = 450

The x-intercept is (30, 0) and the y-intercept is (0, 50)

Given the following parameters:

  • Cost of concert tickets for general admission= $15
  • Cost of a ticket for those with student ID = $9

Given that the total sales is $450, the equation that models this situation will be expressed as:

  • 15x + 9y = 450

where:

x is the those that admitted generally

y are those with student ID

<u />

<u>Get the x-intercept.</u>

This is a point where the y-axis is zero

15x + 9y = 450

15x + 9(0) = 450

15x = 450

x = 450/15

x = 30

Thee x-intercept is (30, 0)

<u>Get the y-intercept.</u>

This is a point where the x-axis is zero

15(0) + 9y = 450

0 + 9y = 450

9y = 450

y = 450/9

x = 50

The y-intercept is (0, 50)

Learn more on intercepts here: brainly.com/question/24212383

7 0
2 years ago
Our difference is 12. Our product is 81. What are the two numbers.
Delicious77 [7]
16.81665382639196787 x 4.81665382639196787

80.99999999999999982646270300946414412

All you have to do is figure out the rest of the decimal places.  I couldn't go any farther. Good luck! 
7 0
3 years ago
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