1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leni [432]
3 years ago
8

Which graph shows the solution to this system of inequalities? y< 1/2 x - 2 y≤ - 2x + 4

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
8 0

Answer:

The graph that shows the solution is A.

Step-by-step explanation:

The solution to a system of inequalities in two variables is often shown as a shaded graph on the coordinate plane. Shaded regions show the areas that contain points in the solution.

The following process works by isolating the y variable in each inequality. Since greater y values are higher up in the coordinate plane, a > or ≥ symbol means that the solution exists above the line of the inequality. Likewise, a < or ≤ symbol means that the solution exists below the line of the inequality.

We have the following system of inequalities

\left \{ {{y\:

Graph the line that bounds each inequality. If the symbol is ≤ or ≥, then the line should be solid to show that the points on the line are included in the solution. If the symbol is <, >, then the line should be dashed to show that the points on the line are not included in the solution.

The shaded region is the intersection of the inequalities. Every point in the shaded region and on the solid ray is part of the solution. The dashed lines and rays are not part of the solution.

Using Desmos as a tool for making the graphs of the inequalities we get that the graph that shows the solution is A.

Alenkasestr [34]3 years ago
7 0

Answer:

The answer is A.

You can graph the two inequaltiy just like you would graph slope intercept from. Just think of the inequality sign as an equal sign. :)

Step-by-step explanation:


You might be interested in
Which percent is equivalent to 2 5/6?
Tems11 [23]

Answer:

283.3%

Step-by-step explanation:

5/6 equals 0.83 repeating and it already has 200% for the whole number 2

3 0
3 years ago
6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
eimsori [14]

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

L=30\ in

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

B=\frac{1}{2}(10)^{2} sin(60\°)

B=25\sqrt{3}\ in^{2}

substitute

V=(25\sqrt{3})(30)=1,299\ in^{3}

8 0
3 years ago
Mikaela friends brought a big box of crackers to the movies. 53 crackers are whole wheat and 29 are cheese flavored. The remaini
Elena-2011 [213]

Answer: 123 crackers

Step-by-step explanation:

If 1/3 of the box contains sesame seed crackers, then, 2/3 of the box contains whole wheat and cheese flavored crackers.

Total number of whole wheat and cheese flavored crackers = 53 + 29 = 82

Let x be the total number of crackers in the box, so we will have the equation

2/3 x= 82

x = 82 ÷ 2/3; we will get

X =82 x 3/2

X = 123 crackers

8 0
3 years ago
Charles asked his teammates how many hours they practiced swimming during the week. He recorded his data in the table below and
Kitty [74]

Answer:

The answer is C.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
On a sunny day, a 4-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby
son4ous [18]

Answer:

16 feet

Step-by-step explanation:

Set up a proportion where x is the height of the tree:

\frac{4}{5} = \frac{x}{20}

Cross multiply and solve for x:

5x = 80

x = 16

So, the tree is 16 feet tall

8 0
3 years ago
Other questions:
  • Factor polynomial
    14·1 answer
  • H E L P m e p l e a s e╚(•⌂•)╝
    9·2 answers
  • What can 8 and 6 both go into equally
    14·1 answer
  • Which expression represents the phrase, "half the sum of 10 and a number"? 12x+10
    11·1 answer
  • A spherical ball just fits inside a cylindrical can, 20 centimeters tall, with a diameter of 20 centimeters. Which expression gi
    6·2 answers
  • It takes Hank 40 minutes (2/3 hours) to mow a lawn. Penny can mow the same size lawn in 30 minutes (1/2 hour). Hank and Penny fo
    11·1 answer
  • Which of these strategies would eliminate a variable in the system of equations? \begin{cases} 6x + 5y = 1 \\\\ 6x - 5y = 7 \end
    12·1 answer
  • What's the exponent form for 10 times 10
    7·2 answers
  • What is wrong in the drawing? How can you make this work<br> Correct?
    15·1 answer
  • 5/6 × 3/4 = <br>patulong po....​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!