Mathematics Middle School

Which of the following points is a solution to the system of linear inequalities
Which of the following points is a solution to the system of linear inequalities?
{2x+y<-5
{-x+y>0
A.
(4, 1)
B.
(–4, –1)
C.
(–8, –21)
D.
(8, 11)

Answers

Answer 1
for it to be a solution, it has to satisfy both inequalities...

subbing in (-4,-1)

2x + y < -5                           -x + y > 0
2(-4) - 1 < - 5                      -(-4) - 1 > 0
-8 - 1 < -5                              4 - 1 > 0
-9 < -5.....true                        3 > 0....true

solution is (-4,-1)

Answer 2

Answer:

(-4,-1) satisfies the given system of inequalities

Step-by-step explanation:

[tex]2x+y<-5[/tex]

[tex]-x+y>0[/tex]

To find out the solution we check with each option

(4,1) , x=4 and y=1 (Plug in x and y values in the given inequalities)

[tex]2(4)+1<-5[/tex]

[tex]9<-5[/tex] False

(-4,-1) , x=-4 and y=-1 (Plug in x and y values in the given inequalities)

[tex]2(-4)-1<-5[/tex]

[tex]-9<-5[/tex] True

Now plug it in second inequality

[tex]-(-4)-1>0[/tex]

[tex]3>0[/tex] True

(-8,-21) , x=-8 and y=-21 (Plug in x and y values in the given inequalities)

[tex]2(-8)-21<-5[/tex]

[tex]-37<-5[/tex] True

Now plug it in second inequality

[tex]-(-8)-21>0[/tex]

[tex]-13>0[/tex] False

(8,11) , x=8 and y=-11(Plug in x and y values in the given inequalities)

[tex]2(8)+11<-5[/tex]

[tex]-9<-5[/tex] false

Related Questions

Can someone plz help me with this math problem.

Answers

i dont know if this is what your looking for but i think it is
Surface area is much easier then area in this case.

You would just find the area of each side, and since you know the slant height, if you were to take each side of the pyramid as a 2D figure, the base would be 6.4 inches as stated and the height 6.1, because if you look at where the slant height is and basically took a side as a 2D figure, it would be the same as the height.

Pretty sure most people know how to find the area of a triangle, but it's base * height / 2, or 6.4 * 6.1 / 2, or 19.52. Since there are four of these triangle side things, just multiply 19.52 by 4, to get 78.08.

There's still a square base, so just multiply 6.4 by itself to get 40.96.

Now just add the two together to get 119.04.

Write the decimal 5.16 as a percent

Answers

When you write a decimal as a percent, you move the decimal point 2 places to the right because you multiply it by 100. 
I hope this helps:)) !!
5.16 = 516/100 = 516% as a percent;

a certain triangle has a 30 degree angle and a 60 degree angle. which must be a true statement about the triangle

Answers

It is a right triangle (90 degrees is the other angle)

what is the product of any integer and -1

Answers

the product of any integer and -1 is equals opposite of that integer.
Whenever I have to multiply integers, I think of this little math song to the tune of "Row Row Row Your Boat" that my teacher taught me in 7th grade. 

Remember:
Multiply and divide
Then look at the signs
Different signs are negative
Same signs are just fine (positive)

For example: -5 x 5 = -25              -5 x -5 = 25 
                      Different signs          Same signs (positive & positive)

So in your specific case, the product of any integer and -1 depends. If the integer is positive, than the final product would be the integer in it's negative form. If the integer is negative, than the final product would be the integer in it's positive form. 

I hope this makes sense to you!

a football team gain 2 yards on the first play ,losees 5 yards on the second play ,loses 3 yards on the third, and gains 4 on the the fourth play.what is the teams overall gain or loss for all four plays

Answers

Your Answer Is...

I'm having some trouble understanding, so I'll give you two types of answers just in case.

1st answer
________

Total gain: 6 yards.

Total loss: 8 yards.



2nd answer
_________

Overall yards: -2 yards.



I hope one of these were what you were looking for!
________________________________________

Glad I Could Help, And Good Luck!
—------------------------------------------------—
My Brainly Name: AnonymousGiantsFan

whats the property in this equation 6 + 3= 3 +6

Answers

6 + 3= 3 + 6

commutative property of addition

hope it helps
it is communititve property of addition which means they just switch the number but the addition sign stays the same

On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(3, 2) and Q(−3, 2). What is the length of Side PQ of the polygon?

Answers

The length of the side is the distance between the two points.  The distance between two points is:

d^2=(x2-x1)^2+(y2-y1)^2, so in this case:

d^2=(-3-3)^2+(2-2)^2

d^2=(-6)^2+0^2

d^2=36

d=√36

d=6 units.

Note we could have just observed that the y-coordinate did not change and know that the distance between the two points or the length of the sides was just the change in x:  3--3=6 units.

What is the slope of this line segment?

Answers

The answer is 5. This can be found using the two points given ( (0,0) and (3,15) ) and using the slope formula (15-0 divided by 3-0)

PLEASE HELP {It costs 5,700 every one sixth of an hour to build a hotel how many cents does building a hotel cost per second?}

Answers

One sixth of an hour is 10 minutes.
That means it costs 5,700 every 10 minutes.

Costs 5,700 = 10 minutes

Dive 10 on both sides.

Costs 570 = 1 minute

Lets convert the minute into seconds.

Costs 570 = 60 seconds

Divide both sides by 60.

Costs 9.5 cents = 1 second

Round it off since you can't pay 9.5 cents.

Costs 10 cents = 1 second

This means that every second they pay 10 cents for the hotel. :D


Choose the correct simplification of (3xy6)2(y3)3

A.9x2y21
B.6x2y21
C.9x2y14
D.6x2y14

Answers

[tex](3xy^6)^2(y^3)^3=\\\\9x^2y^{12}*y^9=\\\\9x^2y^{21}[/tex]

Answer: A. [tex]9x^2y^{21}[/tex]

Step-by-step explanation:

The given expression : [tex](3xy^6)^2(y^3)^3[/tex]

Using laws of exponents :

[tex]a^m*a^n=a^{m+n}\\\\(a^m)^n=a^{mn}[/tex]

To simplify the given expression :

[tex](3xy^6)^2(y^3)^3\\\\=(3)^2(x)^2(y^6)^2(y^{3\times3})\\\\=9x^2y^{12}\times y^9\\\\=9x^2y^{12+9}\\\\=9x^2y^{21}[/tex]

Therefore, [tex](3xy^6)^2(y^3)^3=9x^2y^{21}[/tex]

Which is colder 0°F or 6°F

Answers

because 6 is greater than 0, so 0F would be colder.

what is 18 divided by negative 3

Answers

18 / -3 = -6

answer

negative 6 is 18 divided by negative 3

hope it helps
[tex]18/-3 = -6[/tex]

A negative divided by a positive concludes in a negative.
Check your work. 

[tex]-6(-3) = 18[/tex]

A negative times a negative equals a positive. 

What is the volume of four cubes with a side length of fraction 1 over 4 foot? V = s3, where s is the side length. fraction 1 over 4 ft3 fraction 1 over 3 ft3 fraction 1 over 12 ft3 fraction 1 over 16 ft3

Answers

1/16 is the answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Hope this helps. sorry for no explanation but i already did this flvs quiz and i dont remmember how to f=do it

Answer:

Option D. [tex](\frac{1}{16}) ft^{3}[/tex]

Step-by-step explanation:

Since formula to find volume of a cube is V = (side)³

and one side of the cube is [tex](\frac{1}{4})[/tex] foot

Therefore, volume of the cube will be

V = [tex](\frac{1}{4})[/tex]³

We have to calculate the volume of 4 cubes

4 × V = 4 × [tex](\frac{1}{4})[/tex]³

=  [tex]\frac{4\times 1}{4^{3}}=\frac{1}{4^{2}}=(\frac{1}{16})ft^{3}[/tex]

Option D. [tex](\frac{1}{16}) ft^{3}[/tex] is the answer.

How long is a distance of 8 km if measured on a map with a scale of 1:50,000

Answers

Since this is a ratios and proportions problem, you would set up the equation like this:
1/50,000  = x/8                      x is the length of the distance on the map

After that, you cross multiply and you will get 50,000x=8  
You then solve for x to get 0.00016

Final answer:

To find the map distance of an 8 km actual distance on a map with a scale of 1:50,000, convert 8 km to meters (8,000 m), and divide by the scale factor (50,000) to get the map distance of 16 centimeters.

Explanation:

To calculate the length of an 8 km distance on a map with a scale of 1:50,000, you can use the formula:
Actual distance (in real life) / Scale = Distance on the map. This can be rearranged to: Distance on the map = Actual distance / Scale. Therefore, 8 km / 1:50,000 conversion would be calculated as follows:

First, convert the actual distance to the same units as the scale, if necessary. Here, both are in kilometers, so no conversion is necessary. 8 km is equivalent to 8,000 meters.Next, divide the actual distance by the scale factor. So, divide 8,000 meters by 50,000.This results in 0.16 meters or 16 centimeters on the map.

The distance of 8 km is represented as 16 centimeters on a map with a scale of 1:50,000.

PLEASE HELP ME!!!

If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volumes?

A.137.6 in.^3
B.141.9 in.^3
C.145.6 in.^3

Answers

The volume of a sphere is.

V = 4/3 * π * r(raised to the 3rd power)V1 represents when r = 5
V2 represents when r = 4.5V1 = 4/3 * π * 4.5 * 4.5 * 4.5 = 381.51
V2 = 4/3 * π * 5 * 5 * 5 = 523.33V2 - V2 = 141.82The closest answer is B. I calculated this where π = 3.14, I'm assuming that the computer had a difference like calculating 3.14159 etc or rounded differently in the process, which contributes to the difference in answers. Hope this helps.

Answer:

C

Step-by-step explanation:

141.9in3

One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How many grams of protein do you need daily?

Answers

If you already have 4% then that means that the other 48 grams is 96%. 
So if you make a proportion with 96/100 and 48/x (x being a stand-in for the answer) you can cross multiply 48 and 100 and divide the end result by 96, which equals 50.
So that means that the answer is 50 grams of protein. Hope this helped!

46.08 grams of protine daily


Factor this trinomial with a leading coefficient of 1. The trinomial being 2x^2y-34xy+144y

Answers

Factor out the gcf
2y(x^2-17x+72)

Then factor the inner trinomial
2y(x-8)(x-9)

There's nothing else to factor so that's the final answer

Find the probability of rolling an even number on a fair number cube and drawing a red card from a standard deck of cards.

Answers

Final answer:

The probability of rolling an even number on a fair number cube and drawing a red card from a standard deck of cards is 1/4.

Explanation:

The probability of rolling an even number on a fair number cube is 1/2 because there are three even numbers (2, 4, 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, 6).

The probability of drawing a red card from a standard deck of cards is 26/52, or 1/2, because there are 26 red cards (13 hearts + 13 diamonds) out of a total of 52 cards in the deck.

To find the probability of both events happening, you multiply the probabilities together: (1/2) * (1/2) = 1/4.

Final answer:

The probability of rolling an even number on a six-sided die and drawing a red card from a standard deck of cards is 1/4. P(EM) refers to the probability of rolling a number that is both even and a multiple of three. P(E OR M) represents the probability of rolling a number that is either even or a multiple of three.

Explanation:

The probability of rolling an even number on a fair six-sided die is calculated by counting the even numbers (2, 4, 6) and dividing by the total number of sides, which gives us P(E) = 3/6 = 1/2. For drawing a red card from a standard deck of 52 playing cards, half of the cards are red, so P(Red) = 26/52 = 1/2. To find the combined probability of both independent events occurring, we multiply their respective probabilities: P(Even number and Red card) = P(E) × P(Red) = (1/2) × (1/2) = 1/4.

What does P(EM) mean in words?

P(EM) represents the probability of the intersection of two events, E and M, meaning the probability that the number rolled is both even and a multiple of three.

What does P(E OR M) mean in words?

P(E OR M) signifies the probability of the union of two events, E or M, which is the chance that the number rolled is either even or a multiple of three.

A square patio has an area of 200 square feet how long is each side of the patio to the nearest 10th

Answers

The area of a square is equal to length times width, which are the same.

200= x^2

Root both sides

x= root 200
x= approx. 14.1

Final answer: 14.1 ft

What is the place value of 1 in 209.631?

Answers

The thoasandthes  place the 3 would be in the hundrethes place and the 6 would be in the tenths.  Sorry for any spelling mistakes




the place of one is ONES

A quarterback completes 65% of his passes. Out of his next 40 passes, how many can you expect to be completed.

Answers

To find 65% of 40 multiply 40 by the percentage in decimal form (0.65) to get 26
26 because 0.65 times 40 to find how many passes he will complete out of the 40 will be 26 passes your welcome:]

Rick and Ben had the same amount of money. Ben spent $138. In the end,Rick had 4 times as much as Ben.How much did Rick have?

Answers

At the start, Ben and Rick have the same amount of money.  Let x represent that amount.

Rick's money:  x
Ben's money:  x

Then, Ben spends $138.

Rick's money:  x
Ben's money:  x - 138

At that point, Rick has 4 times the amount that Ben has.

x = 4(x - 138)
x = 4x - 552
552 = 3x
184 = x

Rick has $184.

what polynomial could you add to 3x^4 - 9x^3 + 5x^2 - x + 7 to get a sum of 3+4x^4 + 3x-x^3 + 3x^2

Answers

x^4 + 8x^3 - 2x^2 - 4x - 4. I just thought of it like the second polynomial plus the polynomial you need to solve for equals the first polynomial.

The diameter of a beach ball is 10 inches. How many cubic inches of air can the beach ball hold? Use 3.14. Round to the nearest tenth of a cubic inch.

Answers

Hey!

So, it looks like we got the volume of a sphere. We know that the formula for it when we got the diameter is, [tex]V=\frac{\pi d^3}{6}[/tex]
We are going to use 3.14 for [tex] \pi [/tex]
[tex]V=\frac{3.14* d^3}{6}[/tex]
Let's plug in the values,
[tex]V=\frac{3.14*10^3}{6}[/tex]
Simplify,
[tex]V=\frac{500*3.14 }{3}[/tex]
Our volume of the beach ball is,
V ≈ 523.333333333
Round to the nearest tenth. 
V ≈ 523.3 in³

Thanks!
-TetraFish

Bradley bought 14 yellow highlighters. each highlighter cost $0.94.how much did Bradley spend?

Answers

the answer would be 13.16$

0.94x14=13.16

Show that |3+10| =|3|+|10|

Answers

Since all the numbers are positive, you can take off the absolute value signs. You get 3+10=3+10. Add to get 13=13. Since 13 does equal 13, it does equal each other. Hope this helps! ;)

First right answer gets brain

Answers

I believe the answer is plane

how do u write the product of 10 and the difference of a number X and 14 is 90

Answers

[tex]10(x-14)=90[/tex]


A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 4 tons. About how much would it cost the family to move from New York to Florida?

Answers

1 ton = 2000 pounds

4* 2000 = 8000 pounds total

8000 * 0.60 = $4,800.00

it will cost $4,800 to move

Answer:

Step-by-step explanation:

1 ton = 2000 pounds


4* 2000 = 8000 pounds total


8000 * 0.60 = $4,800.00


it will cost $4,800 to move

Darren and Latisha are decorating cupcakes for a bake sale. They need to decorate 100 cupcakes. Each of them has decorated 40% of the cupcakes. What percentage of cupcakes do they have left to decorate?

Answers

Since they have both decorated 40%, they have decorated a total of 80% of the cupcakes.

They only need to decorate 20% of the cupcakes left.

Answer:

Now they have left to decorate 20% cupcakes.

Step-by-step explanation:

Darren and Latisha are decorating cupcakes for a bake sale.

They need to decorate 100 cupcakes.

Each of them has decorated 40% of the cupcakes = 40% + 40% = 80%

Both of them has decorated 80% of the cupcakes.

80% of 100 cupcakes = 80 cupcakes

Now they have left to decorate 100 - 80 = 20

Now they have left to decorate 20% cupcakes.

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