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
Naddika [18.5K]
3 years ago
10

The graph below represents which system of inequalities?

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer:

The system of inequalities is

y\leq x+3

y\leq -2x+3

Step-by-step explanation:

step 1

Find the equation of the solid line that goes through the points negative 3, 0, negative 4, negative 1

Let

A(-3,0),B(-4,-1)

Find the slope

m=(-1-0)/(-4+3)

m=-1/-1=1

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

we have

m=1

point A(-3,0)

substitute

y-0=(1)(x+3)

y=x+3

The solution is the shaded area below the solid line

therefore

The equation of the first inequality is equal to

y\leq x+3

step 2

Find the equation of the solid line that goes through the points 1, 1, 2, negative 1

Let

C(1,1),D(2,-1)

Find the slope

m=(-1-1)/(2-1)

m=-2/1=-2

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

we have

m=-2

point C(1,1)

substitute

y-1=(-2)(x-1)

y=-2x+2+1

y=-2x+3

The solution is the shaded area below the solid line

therefore

The equation of the first inequality is equal to

y\leq -2x+3

therefore

The system of inequalities is

y\leq x+3

y\leq -2x+3

You might be interested in
Sketch the graph by hand using asymptotes and intercepts, but not derivatives. Then use your sketch as a guide to producing grap
Arisa [49]

The local minima of f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2} are (x, f(x)) = (-1.5, 0) and (7.980, 609.174)

<h3>How to determine the local minima?</h3>

The function is given as:

f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2}

See attachment for the graph of the function f(x)

From the attached graph, we have the following minima:

Minimum = (-1.5, 0)

Minimum = (7.980, 609.174)

The above means that, the local minima are

(x, f(x)) = (-1.5, 0) and (7.980, 609.174)

Read more about graphs at:

brainly.com/question/20394217

#SPJ1

7 0
2 years ago
Yesterday it rained 5/8 inch. Today it rained 1/8 inch. What is the total amount of rain for the two days?
Alecsey [184]
The total amount is 0.75 inches or 3/4 inches.
7 0
3 years ago
What is the median of the data? 68,69,71,71,71,73,74,75,75,78 answers: 71,72,78,72.5
Klio2033 [76]
The answer is 72 because ur supposed to do (71+73)/2
5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP WITH MATH QUESTION<br> WHAT IS (-image down below-) EQUAL TO?????
PolarNik [594]

Answer:

1364

Step-by-step explanation:

∑ means that to add values

So n goes from 1 to 5 and you have to add them from 1 to 5

∑n=1 to 5 4^n = 4^1 + 4^2 + 4^3 + 4^4 + 4^5

4^n means that 4 is n times if 4^3 its mean that 4 is 3 times

= 4 + 16 + 64 + 256 + 1024

= 1364 Answer


I hope you got the idea. Thanks

8 0
3 years ago
Read 2 more answers
If y=8 when x=4 find y when x=5
djyliett [7]

Answer:

y = 10 when x = 5

Step-by-step explanation:

When x = 4, y = 8

Simplify. Divide 4 from both x and y

x = 4/4 = 1

y = 8/4 = 2

when x = 1, y = 2

Next, solve for when x = 5. Mutliply 5 to both x and y

x = 1 * 5 = 5

y = 2 * 5 = 10

y = 10 when x = 5

~

7 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone please help me?
    14·1 answer
  • Write a three digit number using digit 2,9,4.draw a quick picture to show the value
    8·1 answer
  • Find the reciprocal of the number. Multiply to check your answer.
    14·2 answers
  • During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they so
    11·1 answer
  • What's 5x+y=3 written in y=mx+b form​
    13·1 answer
  • If m1=35° and m2=75°, what is m3?​
    7·2 answers
  • 5x5 is important plz plz
    5·2 answers
  • El equivalente de 4/6 ​
    11·1 answer
  • Is the relationship linear, exponential, or neither?
    8·1 answer
  • The diameter of a circle is 8 cm. find it's area in terms of pi​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!