Wich ordered pair is a solution to the followimg inequality?
[tex]y\leq \frac{2}{5}x-2[/tex]

(5,0)
(0,5)
(-2,5)
(-5,2)

Answers

Answer 1

Answer:

Option A: (5,0)

Step-by-step explanation:

Given

[tex]y \leq \frac{2}{5}x-2[/tex]

Required

Select an ordered pair

Option A: (5,0)

This means

[tex]x = 5[/tex] [tex]y = 0[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]0 \leq \frac{2}{5} * 5 - 2[/tex]

[tex]0 \leq 2 - 2[/tex]

[tex]0 \leq 0[/tex]

This is a true statement.

Option B: (0,5)

This means

[tex]x = 0[/tex]   [tex]y = 5[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]5 \leq \frac{2}{5}* 0 -2[/tex]

[tex]5 \leq 0 -2[/tex]

[tex]5 \leq -2[/tex]

This is a false statement.

Option C: (-2,5)

This means

[tex]x=-2[/tex]   [tex]y = 5[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]5 \leq \frac{2}{5}* -2 -2[/tex]

[tex]5 \leq \frac{-4}{5} -2[/tex]

[tex]5 \leq \frac{-4-10}{5}[/tex]

[tex]5 \leq \frac{-14}{5}[/tex]

[tex]5 \leq -2.8[/tex]

This is a false statement.

Option D: (-5,2)

This means

[tex]x=-5[/tex]   [tex]y = 2[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]2 \leq \frac{2}{5}* -5 -2[/tex]

[tex]2 \leq -2 -2[/tex]

[tex]2 \leq -4[/tex]

This is a false statement.

Only option A represents a true statement,

Hence, option A is a solution to the inequality


Related Questions

Identify the radius of the circle.
Help ASAP pls!!!
*its hw*!

Answers

The radius is EG because it’s half the length of the circle.

Robert is collecting books to donate to the library.
The number of books he collects, nn, is defined by n=14d+21 where d is the number
of days he spends collecting books.
What does 14 represent in the context of Robert's book collecting?
A represents the number of books per day that are collected.
B represents the number of books per week that are collected.
C represents the number of books per month that are collected.
D represents the number of books per year that are collected.

Number 6 btw

Answers

The answer is c because it makes sense that it would be months.

Answer:

is A because basically in my EXAM is just have the first option

HELP!!! The probability that a male’s foot is between 10 and 12.5 inches is__
p(10

Answers

Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

Is a²b the same thing as ba² ?

Please explain. Thanks so much!

Answers

a²b is the same thing as ba²

b and a are two separate variables lets pretend a is 2 and b is 3

2² * 3 = 4 * 3 = 12

3 * 2² = 3 * 4 = 12

this is the commutative property of multiplication

An expression is defined as a set of numbers, variables, and mathematical operations. The two of the given expressions a²b and ba² are the same.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The two of the given expressions a²b and ba² are the same because if the two of the expressions are expanded then the value of the two expressions will be equal to each other.

Therefore, the two expressions are expanded as shown below,

a²b = a × a × b

ba² = b × a × a

Therefore, the two of the given expressions a²b and ba² are the same.

Learn more about Expression here:

https://brainly.com/question/13947055

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The distance between the points (3,y1) and (11,11) is 17. What is a possible value of y1?
A.
4
B.
-2
C.
-4
D.
-3

Answers

C I’m pretty sure hope this helps

CAN SOMEONE PLEASE ANSWER THIS QUESTION ASAP!!

Answers

hi, the solving is in the image, answer is 50 ft

have a nice day :)




A TV store buys TV's for $250 each, and then increases the price by 120%. What is the sales price of a TV at this store?

Answers

Answer:

$300

Step-by-step explanation:

Answer:

$300

Step-by-step explanation:

250 100

 ?    120

(250x120)/100

WILL MARK BRAINLIEST PLS HELP
choose all of the points that are solutions to the equation y = x2 - 3x - 4

-4,0
-1, 0
0, -4
1, -6
1, 0
3, -7
pls

Answers

Answer:

-1,0

0,-4

1,-6

Step-by-step explanation:

plug in the first number into x and it gets you the second number

(-1, 0), (0, -4), (1, -6) points are solutions of the given quadratic equation.

What is a quadratic equation?

A quadratic equation is an equation where the variable has the highest power of 2.

Given equation is y = x² - 3x - 4

1. For (-4, 0), L.H.S = 0, R.HS = (- 4)² - 3(- 4) - 4 = 24.

Hence, (-4, 0) is not a solution of the given equation.

2. For (-1, 0), L.H.S = 0, R.HS = (- 1)² - 3(- 1) - 4 = 0.

Hence, (-1, 0) is a solution of the given equation.

3. For (0, -4), L.H.S = -4, R.HS = (0)² - 3( 0) - 4 = - 4

Hence, (0, -4) is a solution of the given equation.

4. For (1, -6), L.H.S = -6, R.HS = (1)² - 3(1) - 4 = -6.

Hence, (1, -6) is a solution of the given equation.

5. For (1, 0), L.H.S = 0, R.HS = (1)² - 3(1) - 4 = -6.

Hence, (1, 0) is not a solution of the given equation.

6. For (3, -7), L.H.S = -7, R.HS = (3)² - 3(3) - 4 = -4.

Hence, (3, -7) is not a solution of the given equation.

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pls help me it would mean a lot <3

Answers

I believe it would be y=2.5x

Have an amazing day :3

Answer:

The equation of the line will be:

[tex]y\:=\:\frac{2}{5}x[/tex]

Step-by-step explanation:

We know the slope-intercept of a line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given two points on a line graph

(0, 0)(25, 10)

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)[/tex]

[tex]m=\frac{10-0}{25-0}[/tex]

[tex]m=\frac{2}{5}[/tex]

We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept = b = 0

Now, substituting b = 0, and m = 2/5 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{2}{5}x+0[/tex]

[tex]y\:=\:\frac{2}{5}x[/tex]

Therefore, the equation of the line will be:

[tex]y\:=\:\frac{2}{5}x[/tex]

Doe has 2 3/8 pounds of hamburger meat. He is making 1/4 pound hamburgers .Does doe have enough meat to make 10 hamburgers

Answers

He doesn’t have enough, he has 19/8 and needs 20/8 for 10 burgers, he’s missing 1/8 :)

A group of students organized a car wash to raise money for a local charity. The students charged $5.00 for each car they washed. In 3 hours, they washed 12 cars. At that rate, how much money could they earn from washing cars for eight hours?A grocery store sells a bag of 5 lemons for $2.00. What is the unit cost of each lemon in the bag?

Answers

Answer:

$160                0.4/lemon

Step-by-step explanation:

5 per car wash

12 cars in 3 hours

4 cars per hour times 8= 32 cars in 8 hours

32 times 5= 160

5 lemons for 2.00

Unit cost= 0.4 per lemon

Which expression is equal to 2xx−2−x+3x+5?

Answers

Answer:

It's the fourth one

Following are the solution to the given expression:

Given:

[tex]\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}[/tex]

To find:

Expression =?

Solution:

[tex]\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]

Therefore, the answer is "last choice".

Learn more:

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283.65 + 85.3 =?

Find the sum?

Answers

Answer:

368.95

Step-by-step explanation:

Line up the decimal places to add the numbers:

  283.65

+   85.3

—————

85.3 is the same as 85.30:

  1

  283.65

+   85.30

—————

  368.95

Answer: 368.95

Hope this helps! :)

Answer:

198.35

Step-by-step explanation:

283.65

085.3

_______________

198.35


Solve this system of equations using elimination. Write your answer as an ordered pair,
5x-2y = 10
4x + 2y = 8

Answers

Answer:

Solving the system of equations using elimination method, we get x=2, y=0

The ordered pair is: (2,0)

Step-by-step explanation:

We need to solve the system of equations using elimination method.

[tex]5x-2y = 10\\4x + 2y = 8[/tex]

Let:

[tex]5x-2y = 10--eq(1)\\4x + 2y = 8--eq(2)[/tex]

Add both equations to eliminate y and find value of x

[tex]5x-2y = 10\\4x + 2y = 8\\------\\9x=18\\x=\frac{18}{9}\\x=2[/tex]

We get value of x=2

Now, finding value of y by putting value of x in eq(1)

[tex]5x-2y=10\\Put\:x=2\\5(2)-2y=10\\10-2y=10\\-2y=10-10\\-2y=0\\y=0[/tex]

We get value of y= 0

Solving the system of equations using elimination method, we get x=2, y=0

The ordered pair is: (2,0)

Answer:

the answer is C

Step-by-step explanation:

Please helpp I’ll give brainleist

Answers

Answer:

87 for lo and om is 56

Step-by-step explanation:

Answer:

<LON= 98 Degrees

Step-by-step explanation:

180-55(2)=70

70+28=98

what is 20 percent of 90?​

Answers

Answer:

18

Step-by-step explanation:

18% hope this helpss

Which measure is not the area of a circle with radius 20 mm?

Answers

Answer:

C

Step-by-step explanation:

Answer:

thank you

Step-by-step explanation:

Is each expression equivalent to 6 * 53? Justify your reasoning.
a. 6 * 50 + 6* 3
b. 10 * 53 -4 53
c. 6 50 + 3
d. 6 * (50 + 3)

Answers

Answer:

a, b, d. Yes c. No

Step-by-step explanation:

a. 6 * 50 + 6* 3  = 6* ( 50 + 3) = 6* 53

Yes

b. 10 * 53 -4*53  = (10 - 4)*53 = 6*53

Yes

c. 6 * 50 + 3  = 303

No

d. 6 * (50 + 3) = 6*53

Yes

Answer:

A, B, D = Yes

C = No

6 * 50 + 6* 3  = 6* ( 50 + 3) = 6* 53

10 * 53 -4*53  = (10 - 4)*53 = 6*53

6 * 50 + 3  = 303

6 * (50 + 3) = 6*53

christian has six grades from tests and IXL. they are all weighted equally. if christian grades are 100,96,96,88,70 and 100, what is the current average grade (round to the nearest whole number)

Answers

Answer:

His average grade would be 91.6... (or 92% if you're rounding up)

Step-by-step explanation:

Add 100, 96, 96, 88, 70, and 100 to get 550, then divide by 6 because there are 6 total grades.

Seth has 2 ¾ candy bars to give away. If he gives each person ⅛ of a candy bar, how many people will get candy?

Answers

Answer:

22 people

Step-by-step explanation:

Change 2 3/4 into a fraction, 11/4.

Then divide by 1/8

11/4 x 8/1 = 22

A store is offering a discount on shorts of 23.4%.The original price of the shirt is $13.24.how much will you have to pay the clerk

Answers

Answer:

Step-by-step explanation:

Hi

Answer:

13.24

Step-by-step explanation:

Your buying a shirt not shorts

What is the slope of a line represented by 3x-14y=28

Answers

Answer:

3/14

Step-by-step explanation:

3x-14y=28

solve

add -3 both sides

3x−14y+−3x=28+−3x

−14y=−3x+28

divide both sides by -14

y= 3 /14 x−2

y=mx+b

so 3/14 is the slope

What is the first step to solving the division problem below?


Divide 15 into 82 to get 5.
Divide 15 into 82 to get 6.
Multiply 15 by 5 to get 75.
Multiply 15 by 6 to get 80.

Answers

Answer:

divide 15 into 82 to get 5 is the first step

Step-by-step explanation:

Answer:

The answer is A, ¨Divide 15 into 82 to get 5.¨

Step-by-step explanation:

Please make as brainliest! Thanks and i hope it is right!!! Pls say if wrong. Bye

Need help :) plss will mark brainliest

Answers

Answer:

C

Step-by-step explanation:

n
Which number line shows the graph of x2 11?
6
7
8
9
10
11 12 13
14
6
7
8
9
10
11
12
13
14
6
7
8
9
10 11
12 13
14
6
7
8
9
10
11
12
13
14

Answers

Answer:

11

Step-by-step explanation:

4 5/6 x 2/5 what is this answer

Answers

Answer:

[tex]1\frac{14}{15}[/tex]           or exact form [tex]\frac{29}{15}[/tex]

Step-by-step explanation:

Um bc im trap bunny bubbles

A contestant in a weight-loss competition wants to lose an average of at least 8 pounds per month during a five-month period. Based on the progress report, how many pounds must the contestant lose in the fifth month to meet the goal?

Answers

Answer:

Can you import the progress report picture please

Step-by-step explanation:

So we can solve it

GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.








Which of the following points represents the largest number?


P

M

J

H

Answers

The answer is p , merry Christmas

Jason drove 110 miles in 2 3/4hours. What was Jason’s speed in miles per hour?

Answers

Answer: His MPH is 40

Step-by-step explanation: 100/2.75 = 40. Converting the fraction to decimal form makes this problem much easier.

) Nadia wants to draw a scale diagram of the garden. The garden is rectangular and measures 1350 cm by 1000 cm Nadia says, “If I use a scale of 1 cm to 50 cm, the drawing will fit on a piece of A4 paper”. A4 paper measures 297 mm by 210 mm Is Nadia correct? Explain how you decide

Answers

Answer:

Nadia is correct

Step-by-step explanation:

Dimensions of the diagram:

Length ⇒ 1350/50 = 27 cmWidth ⇒ 1000/50 = 20 cm

Nadia is correct as the diagram of 27 cm × 20 cm will fit in A4 paper

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