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

HELP PLEASE!!! Math question

Answers

Answer:

(a). [tex]\frac{3}{7}[/tex]

(b). [tex]\frac{4}{13}[/tex]

Step-by-step explanation:

(a). Odds in favor of winning a new T.V. = [tex]\frac{4}{7}[/tex]

    Or probability of not winning a new T.V. = [tex]\frac{4}{7}[/tex]

    Since, Probability to win a T.V. + Probability of not winning the new T.V. = 1

    Probability of winning a new T.V. = 1 - Probability of not winning a new T.V.

                                                            = 1 - [tex]\frac{4}{7}[/tex]

                                                            = [tex]\frac{7-4}{7}[/tex]

                                                            = [tex]\frac{3}{7}[/tex]

(b). Probability of winning the match + probability of not winning the match = 1

     [tex]\frac{9}{13}[/tex] + Probability of not winning the match = 1

     Probability of not winning the match = 1 - [tex]\frac{9}{13}[/tex]

                                                                   = [tex]\frac{13-9}{13}[/tex]      

                                                                   = [tex]\frac{4}{13}[/tex]

which list shows the numbers in order from least to greatest?
-2,-3-0-2-3
0,-3-2,2,3
-3-2,0,2,3
0,-2-3,2,3​

Answers

Choice 3

Step-by-step explanation:

-3 is the smallest and 3 is the biggest number


Identify each pair of angles as corresponding, alternate interior, or alternate exterior.

9)
A alternate exterior
B corresponding
C alternate interior

10)
A) Corresponding
B) Alternate exterior
C) Alternate interior

Answers

Answer:

9)  Corresponding

(The agles correcpond off of reflection)

10)  Alternate interior

(The interior brings the negative side and flips it to the possative on the x axis)

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my best to get you a better answer!

Have a wonderful day! :)

Which situation can be modeled using a linear function?

A) the population of yeast that doubles after every minute

B) the height of a projectile after it is launched

C) the distance covered by a car moving at a constant speed

D)the cost of a printing machine that depreciates every year at 2% per year

Answers

Answer:

the distance covered by a car at a constant speed

No I never lied hahahah

Answers

Answer:

liar

Step-by-step explanation:

Can I get a brainliest answer pls

LOOK AT THE PICTURE TO ANSWER

Answers

I think it’s 15 I’m not sure tho
D) -65
Hope this helps

-3/4x+9 xccccccccccccccccccccccccccccccccccccccccc

Answers

ummmmm uhhhhh lollllllllll

What is the equation of a line when it is translated vertically down 4 units?

Answers

Answer:

y=[tex]x^{2}[/tex]-4

Identify the domain of the function shown in the graph.

Answers

Answer: C!

Step-by-step explanation: The domain is the x-axis, which goes from -5 to 5, so this makes the answer C.

Hope this helps :)

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:

A librarian has 883 books to place on shelves. Each shelf holds 98 books.
How many books will be left over after filling as many shelves as possible?

Answers

Answer:

She will be able to fill 9 shelves with 1 book left over.

Let me know if you need more help! :)

Step-by-step explanation:

883/98

=9

9 books will be left

Anyone know how to do this?

Answers

Answer:

It would be 10

Step-by-step explanation:

Its 10 because 12 is to long and the fact that 10 is a few inches shorter it looks correct :D

Answer:

A) 12

Step-by-step explanation:

Yes you have to do a² + b² = c²

So the bottom triangle is 3 and 4 so plug in.

4² + 3² = c² (simplify)

16 + 9 = c²

25 = c² (square root both sides)

5 = c

That gives us the vertical side of the second triangle.

So plug in again

5² + b² = 13² (simplify)

25 + b² = 169 (subtract 25 on both sides)

b² = 144 (square root both sides)

b = 12

x = 12

Hope this helps ya!!

HELPPPP!!!!!
my testt

Answers

Answer:

$8.50

Step-by-step explanation:

ok so if you divide 3.40 by 5 you get .68 and you multiply that to get 8.16 then you divide .68 to get the cost of half a pound and you get .34 so you add that to 8.16 and get 8.5.  

your answer is $8.50

hope this helps!

Answer:i know this is no help now but plz give my sister brainliest for what she did last year.

Step-by-step explanation:

Solve each proportion.
2/8=5/r+8

Answers

Answer:

r=-20/31

Step-by-step explanation:

1)divide the numbers

2) subtract 8 from both sides of the equation

Help me please *an image is attached*

Answers

i think 4 and -4 the pics are kinda blurry tho

I need help ASAP I’ll mark you brainliest if you help pls

Answers

Answer:

1 hour sorry if wrong

Step-by-step explanation:

One evening, a restaurant served a total of 3 1/3 loaves of wheat bread and 1 1/3 loaves of white bread. How many loaves were served in all?

Answers

Answer:

4 2/3

Step-by-step explanation:

Over the summer, Jasper exercised 40 minutes a day.
After school began, Jasper figures he is exercising for
90 minutes a day. What is the percent increase?

Answers

Answer:

44%

Step-by-step explanation:

40/90 when put into a decimal is 0.4 repeating. Rounding that, it is 0.44, or 44%

Find the missing lengths of the sides

Answers

Answer:

I believe the answer is the second one, please let me know if I am wrong.

(GIVING BRAINLIEST!!)

Ingrid dug a trench eighteen twentieths of a meter long. The next day she dug nine twentieths of a meter more of the trench. What is a reasonable estimate of the total length of the trench?

A) one half meter
B) 1 meter
C) one and one half meters

Answers

Answer:

Solution :-

On first day, Ingrid dug eighteen twentieth of a meter = (18/20) of 1 meter = (18/20) * 1 = (9/10) meters .

Now,

→ Next day, Ingrid dug nine twentieth of a mater = (9/20) of 1 meter = (9/20) * 1 = (9/20) meters .

So,

→ Total length of the trench = Ingrid dug in first day + Ingrid dug next day = (9/10) + (9/20) = (9*2 + 9)/20 = (18 + 9)/20 = (27/20) = 1.35 meters.

Therefore,

→ Total length of the trench = 1.35m ≈ 1.00 meter .

Hence, a reasonable estimate of the total length of the trench is 1.00 meter.

so, b

Step-by-step explanation:

Answer:

2 meters

Step-by-step explanation:

Find the Value of X.
(Plz help, 15 points, EASY FOR GENIUS)

Answers

Answer:

27

Step-by-step explanation:

3x3= 9                   9x 3 = 27  

Total= 27

if this is not right im sorry

Answer:

i think the answer is 27.

Step-by-step explanation:

3*3=9

9*3=27

1. Nancy is walking around a circular track with a radius of 45 feet. If she walks the equivalent of 210 degrees, find the total distance she has walked around the track to the nearest foot.

2. A windshield wiper blade is 18 inches long. Calculate the area covered by the blade as it rotates through an angle of 122 degrees. Round your answer ti the nearest square inch.

3. A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 75 feet, what is the area that is watered as the sprinkler rotates through an angle of 80 degrees? Round your answer to the nearest square foot.

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

The distance walked ( arc length ) is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{210}{360}[/tex]

     = 2π × 45 × [tex]\frac{21}{36}[/tex]

     = 90π × [tex]\frac{7}{12}[/tex]

     ≈ 165 ft ( to the nearest foot )

(2)

The area (A)  covered is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{122}{360}[/tex]

   = π × 18² × [tex]\frac{61}{180}[/tex]

   = 324π × [tex]\frac{61}{180}[/tex]

    ≈ 345 in² ( to the nearest square inch )

(3)

The area (A) is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{80}{360}[/tex] ( r is the distance shot by sprinkler )

   = π × 75² × [tex]\frac{8}{36}[/tex]

   = 5625π × [tex]\frac{2}{9}[/tex]

   ≈ 3927 ft² ( to the nearest square foot )

Answer:

9514 1404 393

Answer:

top down: 1, 5, 6, 4, 8, 2, 3, 7

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for the arc length of a circle with central angle, θ, in degrees.

\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi rArc Length=

360

θ

⋅2πr

Replace 360° with 2π radians.

\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}

360

θ

=

θ

Replace the angle ratio in degrees with the angle ratio in radians.

\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi rArc Length=

θ

⋅2πr

Simplify by cancelling

\textit{Arc Length}=\theta rArc Length=θr

[tex]\sqrt{x} 5*\sqrt{x} 8[/tex]

Answers

There you go... this is the answer simplified

13(9−6m)+14(12m−8)
Find the sum

Answers

Answer:

=90m+5

Step-by-step explanation:

hope this helps

Please help! 50 points!
Consider the equation 4t + 10 = 34

(A) Write a real-world problem that can be solved using the equation.
(B) What does t represent in your scenario?

Answers

Answer:

two people are seeing how far they can throw footballs. one is younger than the other so to make it fair he steps 10 ft forward. the younger competetor throws the ball and it travels 4ft per second. it stops 34 feet from their 'base line'. how long was the football in the air?

t representing seconds

Step-by-step explanation:

i hope this makes sense

im mad tired rn

The same thing that i did last time but just replace with 34

PLS HELP DUE TODAYY
Luis wants to buy a skateboard that usually sells for $79.79. All merchandise is discounted by 12%. What is
the total cost of the skateboard if Luis has to pay a state sales tax of 6.25%. Round your intermediate
calculations and answer to the nearest cent.
Step-

Answers

Answer:

$75.14

Explanation:

Got this off of slader, hope it helps :)

Let f(x) = 4|x|

If g(x) is the graph of f(x) shifted right 5 units, write a formula for g(x)


g(x)=

Answers

Answer:

g(x)=4|x-5|

Step-by-step explanation:

Since the question wants you to shift 5 units to the right, all you need to do is add that - 5 inside the absolute value with the x, and it will shift the function 5 units to the right. I even attached a picture to prove that when adding - 5 inside the absolute value with the x, it shifts the function g(x) 5 units to the right.

Hope this helps! :)

James and Eric each mix 6 pitchers of lemonade. James makes 26 fluid Ounces of lemonade per pitcher, and Eric makes 32 fluid Ounces of lemonade per pitcher. They combine their lemonade and pour all of it into glasses. They fill as many glasses as possible with 8 fluid Ounces each. They pour the remaining lemonade into the last glass.​

Answers

The number of fluid ounces of lemonade made by James and Eric is a

multiple of the number pitchers mixed.

Possible responses are as follows;The number of glasses filled = 43 glassesThe volume of lemonade in the last glass = 8 fluid ounces

Reasons for arriving at the above responses:Given and derived parameters;

The number of pitchers James and Eric mix = 6 pitchers each

Number of fluid ounces of lemonade James makes per pitcher = 26 fluid Ounces

Volume of lemonade Eric makes per pitcher = 32 fluid ounces

Solution:

Volume of lemonade James makes = 26 fluid Ounce × 6 = 156 fluid Ounces

Volume of lemonade Eric makes = 32 fluid ounces × 6 = 192 fluid Ounces

Total volume of lemonade made by James and Eric = (156 + 192) fluid Ounces = 344 fluid ounces

Volume of lemonade per glass = 8 Ounces

Number of glasses filled = 344 fluid Ounces ÷ 8 Ounces/glass = 43 glasses

Therefore, given that the number of glasses of 8 ounces of lemonade that can be filled using the 344 fluid ounces is exactly 43 glasses, we have;

The last glass is the 43rd glassVolume of lemonade in the last glass is 8 fluid ounces

Learn more about division in arithmetic here:

https://brainly.com/question/3060423

https://brainly.com/question/10910164

What is the 21st term of the sequence with a1 = -6 and d = 4?

Answers

Answer:

answer is 74

Step-by-step explanation:

-6+4 x 20

- 6+80=74

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

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