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
Alla [95]
3 years ago
8

Which of the following is a solution to the following system of inequalities?

Mathematics
1 answer:
iren2701 [21]3 years ago
4 0

Option D: (0,3) is the solution to the inequalities.

Explanation:

From the given graph, we can see that the equation of the inequalities are

$y>-x+1$ and $y\leq 2 x+3$

To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities $y>-x+1$ and $y

Thus, we have,

Option A: (1,-1)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies-1>0 is not true.

$y\leq 2 x+3 \implies -1\leq 5 is true.

Since, only one equation satisfies the condition, the coordinate (1,-1) is not a solution.

Hence, Option A is not the correct answer.

Option B: (-4,0)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies0>5 is not true.

$y\leq 2 x+3 \implies 0\leq -5 is not true.

Since, both the equations does not satisfy the condition, the coordinate (-4,0) is not a solution.

Hence, Option B is not the correct answer.

Option C: (3,-2)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies-2>-2 is not true.

$y\leq 2 x+3 \implies -2\leq 9 is true.

Since, only one equation satisfies the condition, the coordinate (3,-2) is not a solution.

Hence, Option C is not the correct answer.

Option D: (0,3)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies3>1 is true.

$y\leq 2 x+3 \implies 3\leq 3 is true.

Since, both equation satisfies the condition, the coordinate (0,3) is a solution.

Hence, Option D is the correct answer.

You might be interested in
The Apache Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from o
nirvana33 [79]
The equation is: 27.46 = 1.95x + 2.50

The answer is 12.8
4 0
3 years ago
Can someone please help me?
Feliz [49]

Answer:

m<2 = 150

Step-by-step explanation:

m<2 = 150 because of alternate exterior angles

7 0
2 years ago
Could someone please help and explain this to me
Lelu [443]

Answer:

Step-by-step explanation:

Four

Start by trying to understand what f(x) means. First of all it is the same thing as y in the equation given in question 4. It is a shorthand that tells you that you put an x in wherever you see an x on the right.

More important, it tells you what to put in for x on the right.

f(z) would tell you to put z in for x anywhere there is an x on the right.

f(z)=2z+1. It is just a shorthand to tell you what to do on the right.

f(2) means put a 2 in for the x on the right. Read all of this carefully. You need to know it.

f(2) = 2(2) + 1

f(2) = 4 + 1

f(2) = 5

=================

Five

f(x) = -x - 5            The minus 4 is not going to change what you do.

f(-4) = -(-4) - 5        Wherever you see an x you put in a minus 4

f(-4) = 4 - 5

f(-4) = - 1

======================

Just so you know, consider a more complicated example

f(x) = 20x^3 + 7x^2 + 4x + 19

Where ever you see an x put in 2

f(2) = 20*(2^3) + 7*(2^2) + 4(2) + 19

f(2) = 20*8 + 7*4 + 4*2 + 19

f(2) = 160 + 28 + 8 + 19

f(2) = 215

Note x can be anything the question tells you it is.

f(5) means put a 5 in for every x.

8 0
3 years ago
A shape is rotated counterclockwise 110 degrees about the origin. What is another way to describe the rotation?
Kitty [74]

At max a rotation can be equal to π or 180°

So if it's rotated 110° counterclockwise then it's equal to rotation of supplementary angle clockwise

Supplementary angle=180-110=70°

70° rotation clockwise

6 0
2 years ago
Are You guys up for math?? Its 6th grade math though!! so are you ready?? l want help please.
katen-ka-za [31]

The ratio would be 4:1.

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 64 and 16 is 16

Divide both terms by the GCF, 16:

64 ÷ 16 = 4

16 ÷ 16 = 1

The ratio 64 : 16 can be reduced to lowest terms by dividing both terms by the GCF = 16 :

64 : 16 = 4 : 1

Therefore:

64 : 16 = 4 : 1

3 0
3 years ago
Other questions:
  • In algebra, there are lots of rules and properties to remember. The good news is that once you understand them, you can apply th
    6·1 answer
  • A class is listing things that come in fives. Some of the things on the list are: points on a star, players on a basketball team
    7·1 answer
  • Find the equation of the line.
    7·2 answers
  • The sum of four consecutive integers is 74.<br><br> What is the first integer?
    7·1 answer
  • A school group is helping plant a new city garden. Today they used 12 1/2 pounds of potting soil and planted 2/5 of the garden.
    6·1 answer
  • The difference of three times a number and five is four. Find the number
    13·1 answer
  • What is the answer to this question?
    5·1 answer
  • GUYS HELP!!! ill give you BRAINS :) AND DONT JUST DO IT FOR THE POINTS IF U DO ILL REPORT U &gt;:)
    13·1 answer
  • HELP PLEASE I ONLY HAVE 10 MINUTES LEFT I WILL MARK BRAINLIEST ANSWER
    14·1 answer
  • In 3 hours, Fast Eddy performed 21 663 loops with his yo-yo. How manyloops could he do in 8 hours at this rate?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!