Graph the solution to the following system of inequalities. y > -2x+7, y ≤ 3x-8

Answers

Answer 1

The solution to the system of inequalities y > -2x+7, y ≤ 3x-8 is the set of points ( (x,y) pairs ) in the intersection of the regions these inequalities are true for, as shown in the graph by the intersection of the blue and red colors.

What are system of inequalities?

When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

How to draw regions covered by inequalities?

Suppose there is inequality given as: y ≥ f(x)

The region it covers is the region of value pairs (x,y) for which this inequality holds true.

We've to draw the region covered by it.

For a function y = f(x), there is y > f(x) on one side of the graph of the function y = f(x) in XY plane, and on other side there is y < f(x).

We just need to figure out this fact at 1 point on either side of the graph of the function y = f(x) , and then the area where y > f(x) is true, along with the curve of the function y = f(x) is included in the region covered by inequality y ≥ f(x)

For this case, the inequalities given are:

y > -2x+7, y ≤ 3x-8

Their solution is the points lying in the intersection of the regions these inequalities are true for, as shown in the graph by the intersection of the blue and red colors.

Learn more about graphing inequalities here:

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Learn more about solutions to the system of inequalities here:

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Graph The Solution To The Following System Of Inequalities. Y &gt; -2x+7, Y 3x-8

Related Questions

50 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.

Data Set 2 has a mean of 170.2 and a MAD of 1.7.

What can be concluded about the two distributions?

Select each correct answer.


The means-to-MAD ratio is 10.

The distributions are different.

The distributions are somewhat similar.

The means-to-MAD ratio is 7.

Answers

the means to and reroof is 10

the distributions are somewhat similar

30 POINTS FOR THE BRAINLIEST!!! Find the indicated measures, given that
EA is a diameter.

a) mDEF=
b) mEFG=
c) mAC=

d) Explain how you found each angle measure below. Be sure to show all of your work.

Answers

mDEF=152
mEFG=70
mAC=28

180-(110+31)=39
152-39=113
180-152=28

PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE BRAINLESS TO THE FIRST CORRECT PERSON!!!

Find the values of x and y. Write your answers in the simplest form.

Answers

Answer:

Around x = 3 y = 6

Step-by-step explanation:

I'm not sure if you need to round to the nearest whole or hundreth or tenth

I need help ya'll please:)​

Answers

Answer:

Step-by-step explanation:

Please take a clearer picture couldnt read it well

7 raise to -2 x 3 raise to 2 = 3by7 raise to 4x

Answers

7^-2 x 3^2 = 3 x 7^4x should be your equation.

Exact form: x = 3/117649Evaluate the exponentEvaluate the exponentMultiply the numbersEvaluate the exponentMultiply the numbersDivide both sides by the same factorSimplifyDecimal form: x = 2.54995792 10^5

I don't know if this is what you were looking for but I hope it helps.

A swimming pool is shaped like a right rectangle prism. the pool is 36 ft long and 20 ft wide. What is the total amount of water in cubic ft,needed to fill tje pool to a depth 4 ft.

Answers

Answer:

2880 ft³

Step-by-step explanation:

T o find the total amount of water that is needed to fill the pool, you have to find the volume of the pool.

Formula to find the volume of a rectangle prism is :

Volume = length × width × height

Let us solve now.

Volume = length × width × height

Volume = 36 ft × 20 ft × 4 ft

Volume = 2880 ft³

Therefore, 2880 ft³ of water is needed to fill the pool.

What is the solution to the following equation?

x^2 + 5x + 7 = 0

A. x = -5±√-3 /2

B. x = -5±√53 /2

C. x = -3±√-7 /2

D. x = 3±√25 /2

Answers

Answer:

A

Step-by-step explanation:

using the quadratic formula

in the picture above

The graph shows a wolf population which has been growing exponentially.
200
160
120
uonejndod yjom
80
40
5
years since population was measured
a. What was the population when it was first measured?
Type the answer in the box below.
b. By what factor did the population grow in the first year?
Type the answer in the box below.

Answers

PART A: 100 wolves population

PART B: 6/5

Answer:

Part A: 100 wolves population.

Part B:6/5

Step-by-step explanation:.

What is the amplitude of the function? Identify the amplitude of a periodic function from its graph. 4 3 2 1

Answers

The amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function(refer to attached picture)

We know the amplitude of the function is given by:

[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |max \ f -min \ f|[/tex]

As we can see in the graph the maximum value is 0 and

the minimum value of a function is -4, thus the amplitude

[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |0 -(-4)|[/tex]

The amplitude of f = 2

Thus, the amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.

Learn more about the function here:

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Determine the number of solutions of each system of equations.

Answers

Answer:

no solutions

Step-by-step explanation:

x+y = 5

-2x-2y = 10

Multiply the first equation by 2

2x+2y =10

Add this to the second equation

2x+2y =10

-2x-2y =10

0 =20

This is not true so there are no solutions

Find the secant of ZI.
H
80
89
39

Answers

Answer:

See below

Step-by-step explanation:

[tex] \sec \: I = \frac{HI}{IJ} \\ \\ \implies \: \sec \: I = \boxed{\frac{89}{39} }[/tex]

The weight of a blue whale is about 250,000 pounds. Write this number in scientific notation

Answers

Answer:

250÷50=3 because I have a great day and I will be in the 3 1 4 a few days ago a friend of ours was the only thing

Step-by-step explanation:

yes maybe no more options visit in the future please reply with your family

6) Out of 15 students only 10 passed the geography scam. Write the fraction of students
Who failed in the geography cam.

Answers

There’s 15 students 10 passed 5 failed so the answer is 5/15

what is the percent increase from 18 to 26

Answers

How much has it increased by?
26-18 = 8

What percentage is 8 of 18?
Or how many 8s are in 18?

8/18 = 0.44444

Convert to percentage

0.44* 100 = ~44%

CHECK:

18 * 0.444444 = 7.92 ~ 8

So 18 + 8 = 26

find the value of n such that x^2-19x+n is a perfect square trinomial.

Answers

Answer:

1st option

Step-by-step explanation:

x² - 19x + n

using the method of completing the square

add ( half the coefficient of the x- term )² to x² - 19x

x² + 2(- [tex]\frac{19}{2}[/tex] )x + (- [tex]\frac{19}{2}[/tex] )²

with n = (- [tex]\frac{19}{2}[/tex] )² = [tex]\frac{361}{4}[/tex] , then

(x - [tex]\frac{19}{2}[/tex] )² ← a perfect square trinomial

An empty container in the shape of a cube 6 inches deep is filled with plastic cubes.
How many plastic cubes measuring 1 inch across each face will it take to fill the
container?
Enter your answer in the box.

Answers

The right answer would be 216

1) 6*6=36

2)36*6=216

A certain laptop is really popular and sells for $209. Since sales are so good, the store raises the price by 12%. What is the cost of the laptop after the markup?

Answers

$255.98 is the correct answer

Frank got a gift for his sister and put it in a shoebox.
+
Note: Figure is not drawn to scale.
Now, he wants to wrap it with wrapping paper. If the length of the shoebox measures 10 in, the width measures 5 in, and the height
measures 4 in, how much wrapping paper does he need to cover the shoebox?
OA 330 sq in
ОВ.
110 sq in
OC. 440 sq in
OD. 220 sq in

Answers

Answer:

200

Step-by-step explanation:

Length times width to get the base 10 x 5 = 50 With the base multiply it by the height to get 50 x 4 = 200

Rewrite the fraction with the indicated denominator.

Answers

Answer:

I believe the answerwould be 18/21.

Please let me know if I'm correct!

Hope this helps you!

Hey there!


6/7 = ?/21

= 6/7 = x/21

CROSS MULTIPLY the FRACTION

6(21) = x(7)

6(21) = 7(x)

126 = 7x

7x = 126

DIVIDE 7 to BOTH SIDES

7x/7 = 126/7

CANCEL out: 7/7 because it give you 1

KEEP: 126/7 because it help solve for the x-value

NEW EQUATION: x = 126/7

SIMPLIFY IT!

x = 18


Therefore, your answer is: 18


BECAUSE 18/21 is equivalent to 6/7 and they both give you approximately 86% (or simply 0.86) if you’re rounding your percentage/decimal form


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

What is the volume of this cone?
Use a = 3.14 and round your answer to the nearest hundredth
13 mm
6 mm
how do i get the answer

Answers

Pi times radius squared times (height÷3)

if radius is 6 then 490.09

if radius is 13 then 1061.86

How is 1-n/2n-2 written in lowest terms

Answers

Answer:

- 1/2

Step-by-step explanation:

I assume this is  (1-n) / (2n-2)  

     (1-n) / (-2)(1-n)

    -1/2

what is the difference between 3/4 and 2 1/4

Answers

Answer:

3/4 simplified is 3/4 but when 2 1/4 is simplified it is 9/4. Off the bat we know there is a big difference. Also, 2 and 1/4 is irrational and 3/4 and rational.

the last answer is 35 I just could not fit it in the pic​

Answers

Angle beside C is 145 so C is 180 -145=35
So the sum of the triangles angles is 180
Therefore 180-35=145
So the sum of angle A and B is 145

PLEASE HELP 20 POINTS AND BRAINLIEST

Answers

Answer:

5/6, 0.83 or 83%

Step-by-step explanation:

Answer:

Probabilities

Decimal: [tex]0.91[/tex]

Fraction: [tex]\frac{91}{100}[/tex]

Percentage: [tex]91[/tex]%

Step-by-step explanation:

Writing out information

2 comedy CDs

3 science-fiction CDs

7 adventure CDs

10 random CDs

22 total CDs

The chosen CD is not a comedy.

Solving probability for each

Decimals rounded to nearest 100th

Comedy:

[tex]2:22\\0.09\\\frac{2}{22}[/tex]

Science-fiction:

[tex]3:22\\0.14\\\frac{3}{22}[/tex]

Adventure:

[tex]7:22\\0.32\\\frac{7}{22}[/tex]

Random:

[tex]10:22\\0.45\\\frac{10}{22}[/tex]

Finding the total of the non-comedy

[tex]0.14+0.32+0.45=0.91[/tex]

[tex]0.91=91[/tex]%

Conclusion

Probabilities

Decimal: [tex]0.91[/tex]

Fraction: [tex]\frac{91}{100}[/tex]

Percentage: [tex]91[/tex]%

NEED HELP WITH THIS MATH PROBLEM QUICK!!!

Answers

Answer:

[tex]\implies m\angle A =42\degree[/tex]

Step-by-step explanation:

Quadrilateral ABCD is inscribed in circle with center O.

-> Quadrilateral ABCD is cyclic.

Opposite angles of a cyclic quadrilateral are supplementay.

[tex]\implies m\angle B + m\angle D = 180\degree[/tex]

[tex]\implies (2x)\degree + (3x-5)\degree = 180\degree[/tex]

[tex]\implies (5x-5)\degree = 180\degree[/tex]

[tex]\implies 5x-5= 180[/tex]

[tex]\implies 5x= 185[/tex]

[tex]\implies x= \frac{185}{5}[/tex]

[tex]\implies x= 37[/tex]

[tex]\implies m\angle A =(x+5)\degree[/tex]

[tex]\implies m\angle A =(37+5)\degree[/tex]

[tex]\implies \huge{\orange{m\angle A =\boxed{42}\degree}}[/tex]

to the nearest tenth what is the circumference of a bicycle tire with a radius of 11 inches? use 3.14 for pi

Answers

Step-by-step explanation:

Radius = 11 inches

⇒ Circumference = 2πr

⇒ Circumference = (2 × 3.14 × 11) inches

Circumference = 69 inches

What is the geometric mean of 25 and 2

Answers

Answer:

Geometric Mean of 2 and 25: 7.0711

In each circle, find the value of x. Please help

Answers

Answer:

x = 47°

Step-by-step explanation:

First see that Angle W is 90°. Either because T is the center and LS is a diameter. Or because Arc LCS is 180° so Angle W is half that = 90°

Then, see Triangle WSL. The angles in a triangle add up to 180°

90° + x + x-4 = 180°

Subtract 90°

x + x - 4 = 90

Combine the x's

2x - 4 = 90

Add 4

2x = 94

Divide by 2.

x = 47

Given that log Cart 2) + log, b=0 and ing (a-2) 16g, b=actl Show = "feetfiad Metult possible velers of a cand is where a, b er (a that 92 442480 an 2 it soln​

Answers

Answer:

12+12 log2) b=34) 54+90)=10000+32+54=9000

Step-by-step explanation:

I know the answer I am a math tutor at Elomantry High Scholl Teaching for 6 years now

Utilize graphing to find the solution to
the following system of equations.
y = x-7 AND y = -x + 1
([?], [])
Enter

Answers

Answer:

(4, -3)

Step-by-step explanation:

To solve this with graphing all you need to do is enter both equations in a graphing calculator (you can use desmos online) and then find the point where both lines intersect.

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