How to graph inequalities

Mathematics

1 answer:

marusya05 [52]3 years ago

4 0

Step-by-step explanation:

First solve for y

given equation is 3x-2y ≥ 12

subtract 3x on both sides of the equation which would result with: -2y ≥ 12-3x

divide by -2 on both sides of the equation, flip the sign to ≤ because you are dividing by a negative, then you should get the result y ≤ -6 + 3x/2 (should look like a fraction)

y-intercept is at -6

slope is 3/2 (or three halves)

start at -6 on the y-axis, go up 3 across 2 and plot your point, keep repeating when going up and down the graph

You might be interested in

Given the equation find f(4) f(m)=5-2m 3 5 1 -3 -1 -5

Bingel [31]

Your answer is -3.
5-2(4)
5-8
-3

3 0

4 years ago

Students from Williams Middle School are also recycling aluminum cans. The data for the numbers of cans brought in

Rina8888 [55]

Median is 19
IQR is 12
Range is 22

See photo below for explanation

4 0

3 years ago

Although a meteorite might travel millions of kilometers to reach earth the particles of iron in a meteorite are identical to th

Vikentia [17]

Answer:

pure substance! I checked.

Step-by-step explanation:

In chemistry, a substance is pure if it has a homogeneous chemical composition. ... Examples of pure substances include iron, steel, and water. Air is a homogeneous mixture that is often considered to be a pure substance.

6 0

3 years ago

Where would the shape be located after a translation of 5 units to the right?

xxMikexx [17]

Answer:

It the shape would be in quadrant 1

7 0

3 years ago

Read 2 more answers

A triangular sail has a base length of 2.5 m the area of the sail is 3.75 m² how tall is the sail

xeze [42]

The answer is: " 3 m " . The sail is: " 3 meters tall".
_______________________________________________

Area of triangle, "A", equals "(1/2)" * (base) * (height) :
_______________________________________________
A = (1/2) * b * h ;
_______________________________________________
Given: "A = 3.75 m² " ; AND:
"b = 2.5 m " ;
_______________________________________________
Solve for "h" ;
______________________________
Given: A = (1/2) * b * h ;
______________________________
Rearrange the equation to isolate "h" on one side of the equation;
Then, plug in the "known values" to solve for, "h" ;
____________________________________________
Given: A = (1/2) * b * h ;
_______________________
Rewrite as:
_______________________
A = (b*h) / 2 ;
______________________________________________
Now, multiply EACH side of the equation by "2" ;
______________________________________________
2 *A = { (b*h) / 2 } * 2 ;
______________________________________________
To get: 2A = b * h ;
______________________________________________
Now, divide EACH side of the equation by "b", to isolate "h" on one side of the equation (and ultimately, solve for "h") ;
______________________________________________
2A / b = (b * h) / b ;
______________________________________________
to get: 2A / b = h ; ↔ h = 2A / b ;
______________________________________________
Now, we have: h = 2A / b ; plug in the values given for "A" and for "b" ;
to solve for "h" ;
_____________________________________________
h = [ 2*(3.75 m²) ] / 2.5 m = 7.5 m² / 2.5 m = 3 m.
_____________________________________________
The answer is: 3 m . The height is: 3 m .
_____________________________________________

4 0

3 years ago