Determine whether each ordered pair is a solution to the inequality x+y>−2.

(10,−1)
(−8,9)
(−1,−9)
(6,−3)
(7,−9)

Answers

Answer 1
3 Answers:Choice A.  (10, -1)Choice B.  (-8, 9)Choice D.  (6, -3)

===================================

Explanation:

If we plug the coordinates of point A into the inequality, then we get

x+y > -2

10 + (-1) > -2

9 > -2

That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers

Choices B and D are also answers for similar reasons.

Something like choice C is not a solution because

x+y > -2

-1+(-9) > -2

-10 > -2

which is false

You should find that choice E is false as well.

---------------------

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.

The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.

Determine Whether Each Ordered Pair Is A Solution To The Inequality X+y>2.(10,1)(8,9)(1,9)(6,3)(7,9)

Related Questions

frank made $156.00 12 hours of work. at the same rate, how many hours would he have to work to make $221?

Answers

Answer:

17 hours

Step-by-step explanation:

We first need to find the hourly rate:

156 / 12 = 13

Hourly Rate: $13

Now we can divide 221 by 13, this gives us 17.

That means that Frank will have to work 17 hours to make $221.

Hope this helps!

find the value of x? please I really need help ​

Answers

Answer:

the answer to x  is 33

Step-by-step explanation:

The whole thing must equal 180 degrees

I HAVE ONE WEEK OF SCHOOL CAN SOMEONE HELP?!

Answers

9514 1404 393

Answer:

  1. 5 seconds

  2. 4.5 seconds

Step-by-step explanation:

Both of these questions can be solved the same way. Each quadratic gives height as a function of time. You're interested in the time at which the height is zero. Factor the quadratic and find the positive value of x that makes the relevant factor be zero.

__

1) y = -15x(x -5)

  x = 5 makes the second factor zero

The golf ball is in the air 5 seconds.

__

2) y = -12x(x -4.5)

  x = 4.5 makes the second factor zero

The football is in the air for 4.5 seconds.

_____

Additional comment

The "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. When a factored quadratic (or any other polynomial) is zero, one of the factors must be zero. If the factor is of the form (ax+b), then the corresponding solution is ...

  ax+b = 0   ⇒   ax = -b   ⇒   x = -b/a

That is, once you have the factored form, you can write the solutions "by inspection."

In ΔVWX, the measure of ∠X=90°, XW = 65, WV = 97, and VX = 72. What is the value of the cosine of ∠V to the nearest hundredth?

Answers

Answer:

The cosine of ∠V is of 0.74.

Step-by-step explanation:

Relations in a right triangle:

The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.

XW = 65, WV = 97, and VX = 72.

[tex]\sqrt{65^2+72^2} = 97[/tex], and thus, this is a right triangle.

What is the value of the cosine of ∠V to the nearest hundredth?

The hypotenuse is the largest side, that is, WV = 97.

The adjacent side of angle V is VX = 72. So

[tex]\cos{B} = \frac{72}{97} = 0.74[/tex]

The cosine of ∠V is of 0.74.

what is butterfly cycle​

Answers

The butterfly and moth develop through a process called metamorphosis. This is a Greek word that means transformation or change in shape. There are four stages in the metamorphosis of butterflies and moths: egg, larva, pupa, and adult.

mark me brainliesttt :)))

I would appreciate if someone could answer this:)

Answers

Answer:

17

Step-by-step explanation:

4a - 4 = 2a + 30

2a = 34

a = 17

I really need help or I’m gonna fail the semester

Answers

Rational Number, Real Number

Use the graph of f(x) to estimate f(3).

Answers

Answer:

f(3) = -8

Step-by-step explanation:

f(3) means find the y value when x=3

Using the graph the y value when x =3 is -8

f(3) = -8

Find the first two expressions in the sequence _, _, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13...

Answers

Answer:

First term: 2x+1

Second term: 3x+3

Step-by-step explanation:

The coefficient of x is going up by 1 time each time while the constant term is going up by 2.

We are looking at these two questions basically:

1) What are the first two terms in?

_,_,4,5,6,7,8

2) What are the first two terms in?

_,_,5,7,9,11,13

Answers:

1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.

So before 4, we have 3.

Before 3, we have 2.

The sequence for the coefficient of x is 2,3,4,5,6,7,8

2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.

So before 5, we have 3.

Before 3, we have 1.

The sequence for the constant term is 1,3,5,7,9,11,13.

So first two terms of the sequence in ascending order according to the sequence is:

2x+1

3x+3

Siobhan needs to fill her cylindrical shaped fish tank. The base of the fish tank has a diameter of 10 in, and the height of the fish tank is 8 in. Which statement describes how Siobhan can find out how much water she needs to fill the fish tank

Answers

Answer:

C = 5^2 * Pi * 8

Step-by-step explanation:

Formula = [tex]r^{2}[/tex]*Pi*h

r = d / 2

d=10, so r=5

h = 8

write an expression to represent multiplying twice the difference of 9 and 7 PLS HELP TYSM ASAP TOO PLS

Answers

Answer:

2*3

Step-by-step explanation:

multiplying 2 the difference subtraction of 9-7 your answer is  2*3

Find the surface area of each solid figure

Answers

Answer:

Step-by-step explanation:

A pie tin has an area of 81 pi square inches. Which choice below is closest to its
circumference?

Answers

Answer:

can i have the choices

Step-by-step explanation:

What is Associative property mean?

Answers

The associative property states that the grouping of factors in an operation can be changed without affecting the outcome of the equation.

Cary earned $56 for 7 hours of babysitting.

How much would Cary earn for 55 hours of babysitting?

Answers

Answer:

440.

Step-by-step explanation:

56/7=8

8x55=440.

Answer:

440

Step-by-step explanation:

56 divided by 7 equals 8 which means she gets 8 dollars an hour so to find out how much she gets for 55 just multiply 55 times 8.

Solve the equation. Enter the number only.
4/7z + 2/3z = 13

Answers

Answer:

10.5

Step-by-step explanation:

common denominator for 7z and 3z is 21z

4/7z = 12/21z

2/3z = 14/21z

12/21z + 14/21z = 13

26/21z = 13

cross-multiply to get:

26z = 273

z = 273/26

z = 10.5

Answer:

z = 10.5

Step-by-step explanation:

(4/7)z + (2/3)z = 13

multiply by 21 to eliminate the fractions

12z + 14z = 273

26z = 273

Divide both sides by 26

z = 10.5

Given that BC is a tangent to the circle at B and CD is a tangent to the circle at D and also that the angle DAB is 115, calculate the size of angle BCD?

Answers

Step-by-step explanation:

the answer is in the above image

A number y divided by 3 is at least - 19.

Answers

Answer:

-57

Step-by-step explanation:

-19 * 3 = -57

Hope this helps!

A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation C = 0.04 x 2 − 5 x + 900 . What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to acheive that minimum?
The minimum average cost is ?
The number of DVD/Blu-ray players that should be build to acheive the minimum is?

Answers

Answer:

Minimum average cost = 743.75

Number of dvds to achieve the cost = 62.5

Step-by-step explanation:

Given the cost equation

C = 0.04x² − 5x + 900

To Obtian the minimum average cost ;

Find dc/dx = 0

Diffentiate cost, c it ith respect to x

dc/dx = 2(0.04x) - 5

dc/dx = 0.08x - 5 = 0

0.08x = 5

x = 5 / 0.08

x = 62.5

Substitute the value of x into C to obtain the minimum average cost

C = 0.04(62.5)² - 5(62.5) + 900

C = 743.75

A physics class has students. Of​ these, students are physics majors and students are female. Of the physics​ majors, are female. Find the probability that a randomly selected student is female or a physics major.

Answers

Answer:

[tex]P(Female\ or\ Physics) = 0.38[/tex]

Step-by-step explanation:

Given

[tex]n = 50[/tex] --- total

[tex]Physics =10[/tex]

[tex]Female= 12[/tex]

[tex]Both = 3[/tex]

Required

[tex]P(Female\ or\ Physics)[/tex]

This is calculated as:

[tex]P(Female\ or\ Physics) = P(Female) + P(Physics) - P(Both)[/tex]

So, we have:

[tex]P(Female\ or\ Physics) = \frac{Female+ Physics - Both}{n}[/tex]

[tex]P(Female\ or\ Physics) = \frac{10+ 12- 3}{50}[/tex]

[tex]P(Female\ or\ Physics) = \frac{19}{50}[/tex]

[tex]P(Female\ or\ Physics) = 0.38[/tex]

solving quadratic equation using the completing the square method. (a).x²+20x-12=0​

Answers

Answer:

[tex]x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]

Step-by-step explanation:

x²+20x-12=0

a = 1, b = 20, c = -12

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2x}[/tex]

[tex]x = \frac{-20 \pm \sqrt{448}}{2}\\\\x = \frac{-20 \pm \sqrt{8 \times 8 \times 7}}{2}\\\\x = \frac{-20 + 8\sqrt{7}}{2} \ , \ x = \frac{-20 - 8 \sqrt7}{2}\\\\x = \frac{-10 + 4\sqrt{7}}{1} \ , \ x = \frac{-10 - 4 \sqrt7}{1}\\\\x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]

What is the range of the function represented by the graph?

Answers

Answer:

y ≥ 1

Step-by-step explanation:

The range is the values the y value can take

y ≥ 1

Which figure has at least one line of symmetry?

Answers

Answer:

the second green shape because the first one is a rectangle which has 2 equal sides

Answer:

the third orange one

Step-by-step explanation:

i have the same question and these 2 show up as answers on both so it has to be this one

The total cost
of an $82 meal
with a 20% tip

Answers

Answer:

$16.40

Step-by-step explanation:

Answer:

98.40

Step-by-step explanation:

First find the tip

82* 20%

82* .20

16.40

Add the tip to the cost of the mean

82+16.40

98.40

Need help ASAP! Giving Brainliest!

Answers

ok thats cool ig what do you need help with

Answer:

A

Step-by-step explanation:

Have a nice day :)

In timara math class there are, 12 boys and 15 girls which of the following in the ratio to boys and girls in timaras math class?

Answers

Answer:

4:5

Step-by-step explanation:

If there are 12 boys and 15 girls, the ratio of boys to girls will be 12:15.

However, this can be simplified by dividing each number by 3. This can be done since both 12 and 15 are divisible by 3.

12:15

= 4:5

So, the ratio of boys to girls in Timara's class is 4:5

A bug starts at position (-3, -3) on the floor. It crawls along the vector (2, 6). What is the the final position of the bug on the floor? How far and in what direction did it crawl to get there?

Answers

Step-by-step explanation:

the final position = (-3+2 , -3+6) => (-1, 3)

the distance from the origin point =

√(2²+6²) = √(4+36) = √40 units or 6.3 units

the direction = tan~¹ 6/2 = 71.6°

To rent a car Cesar must pay $15 a day plus 50 for every mile he drives. in dollars, what is his final bill if he rents a car for 3 days and drives a total of 50 miles?​

Answers

Answer:

Step-by-step explanation:

1. 50x50 (because 1 mile= $50)=2500

2. 15x3 (because you need to pay 15 dollars a day)= 45

3. 2500+45= $2545

( plus tax that would be $2,875.85 IF YOUR IN CANADA )

On Wednesday, a local hamburger shop sold a combined total of 294 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?

Answers

Answer:

check the picture

Step-by-step explanation:

I hope this help

Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?

The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.

Answers

Answer:

First you need to state the equation that represents the function.

Investment is $200 and interest rate is 5%, y is the amount of money after x periods.

Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)

After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2

After 3 periods the amount is 200 (1.05)^3

And now you can deduce that after x periods y = 200 (1.05)^x

You can then analyze the function to predict the shape and critical points of the graph.

The answers are based in the initial value and the increasing factor.

The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200

And the increasing factor is 1.05 because any value is the previos one times 1.05.

Step-by-step explanation:

The graph shows 200. And the factor down
Other Questions
4-5 sentences plz: 50 points and brainliestWhy is it useful to read a story with the help of background information that explains the context? The period of development from fertilized egg to birth is known as 77 out of 100 people Prefer sunny days what percentage of people prefer sunny days I dd the assignment and I didn't get the right answer, the correct answer was 3/4 Can you guys help me understand where does 3/4 come from What did the Washington Posts investigation into the Afghanistan Papers reveal? if two lines are parallel and one has a slope of 1/6, what is the slope of the other line? Use substitution to solve thefollowing system of equations.-2x + 4y = -18 AND x = y + 3 Tim wants to determine the height, x, of a nearby tree. He stands 35 feetfrom the base of the tree. The measure of the angle of elevation from Tim to the top of thetree is 40 degrees What are three classes of rocks? Research 3 different types of clouds and write 5 facts about each one of them How did the first plants and animals arrive in Hawaii, before humans? Find the area of the regular pentagon. Accounts receivable had a debit balance of $4,000 at the beginning of the period, and a debit balance of $6,000 at the end of the period. Credit sales for the period totaled $22,000. Using this information, cash receipts for the period totaled: Which of the following most likely had the highest unemployment in Oklahoma during the 1980s?bankersoil field workersretail businessesgovernment employees what is unit of pressure?why is it called a derived unit ? give reasons Which expression is equivalent to 6^-3 Please Help!!!!!!!!! Complete each statement describing microvilli, cilia, pseudopods, and flagella by dragging a label into the appropriate blank.Cells used for absorption typically utilize ________to maximize surace area. Nearly every human cell has a single ________whose function is not completely understood. In humans only the male gametes posess a ________ When a speaker evaluates a source and reviews the appropriateness of the material for their presentation, what best describes criteria being evaluated? A. currency B. suitability C. completeness D. trustworthiness What issue led to the construction of the Berlin Wall?new American intervention in EuropeAmericas refusal to recognize a divided GermanySoviet attempts to control all of Germanythe removal of U.S. troops from Berlin