Consider the system of inequalities.
3x + 2y < 8
-5x - 9y > -2
Select all ordered pairs that are solutions to the system of inequalities.
(-10, -3)
a)
b)
(-1, 5)
(0, 0)
d)
(1, -1)

Answers

Answer 1

Answer:

 b)

The point is (-1,5) and (0,0) also satisfies the given inequalities

The solution of the given inequalities

(x, y) = (4 , -2 )

Step-by-step explanation:

Step(i):-

Given system of equations are

3x + 2y < 8

-5x - 9y > -2

The solution of the given equations are

3x + 2y = 8   multiply '5'

-5x - 9y = -2 multiply '3'

       15 x + 10 y = 40  ...(i)

       -15x - 27 y = -6.....(ii)

Adding (i) and (ii) , we get

          - 17 y = 34

                y = -2

Substitute y = -2 in equation 3x + 2y =8

          3x - 4 =8

             3x = 12

               x =4

The solution of the given system of inequalities

(x, y) = (4 , -2 )

Step(ii):-

                   3x + 2y < 8

                  -5x - 9y > -2

The point is (-1,5)

                 -3 + 10 < 8

                    7 < 8

                5 - 45 > -2

                   -40 > -2

The point (0,0) also satisfies the given inequalities

Final answer :-

The point is (-1,5) and (0,0) also satisfies the given inequalities


Related Questions

3n+2 What is the value of the 3rd term?

Answers

Answer:

11.

Step-by-step explanation:

Plug n = 3 into the expression:

3(3) + 2 = 11.

Read the excerpt from Heart of a Samurai.

Goemon jumped up. “Agreed,” he said, jamming his “knife” into his sash and slashing at Manjiro’s “sword.” Their imaginary swords clashed and clattered as they lunged or leaped aside to avoid being hit.
Which words contribute most to the excerpt’s pace?
A. “imaginary” and “aside”
B. “sash” and “swords”
C. “slashing” and “lunged”
D. “Goeman” and “Manjiro”

Answers

Answer:

The anwsear is B, slashing and lunged :)

Have a great day!

Answer:

C. “slashing” and “lunged”

Step-by-step explanation:

3. Melissa is making a piece for a stained glass window that has the shape and measures shown below. Point Cis the center of the partial circle that forms one corner of the stained glass piece. 6 in C 1 1 10 in. 1 11 12 in which area is the closest to the area of the stained glass piece in square inches? Use 3.14 form.​

Answers

Answer:

184.26 i dont exacaly know but i think it is just let me know if im right or wrong

Step-by-step explanation:

will mark branliest if correct:)

Answers

Answer:

If im not mistaking its b

Step-by-step explanation:

you gotta divide the nubers inside the box thing  with then numbers outside it then multiply

Complete the description of the slope of the line that joins the points
positive
negative
0
undefined

Answers

Step-by-step explanation:

the points are undefined

yeah I gotchuuu

There are 5 roses in a vase of 11 flowers,the rest are daisies

what is the ratio of roses to daisies

Answers

6:11 daisies
5:11 roses

can someone please help? the question is an equilateral triangle is sometimes/always/never similar to a scalene triangle, because we can sometimes/always/never map one onto the other using only dial actions rigid transformations.

Answers

Answer:

An equilateral triangle is never similar to a scalene triangle, because we can never map one onto the other using only dilations and rigid transformations.

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

Explanation:

An equilateral triangle is one where it has all three sides the same length. "Equi" means "equal" while "lateral" means "side". Any equilateral triangle also has all three angles the same measure (we consider it equiangular). Each angle is 60 degrees.

In contrast, a scalene triangle has all of its sides different, so consequently that means all of its three angles must be different as well. If you had exactly two angles congruent to one another, then the opposite sides would be a congruent pair of sides, but then that leads to an isosceles triangle. Also, if all three angles were the same, then we'd get back to an equilateral triangle. So in short, any scalene triangle has all of its angles different.

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

Let's consider two cases

Case 1) The scalene triangle has one angle that is 60 degrees, while the other two angles are not 60 degrees.Case 2) The scalene triangle doesn't have any angles that are 60 degrees.

If case 1 happens, then we could match up one pair of 60 degree corresponding angles between the equilateral triangle and the scalene triangle. However, we won't have any more matches. This is because the other two angles aren't 60 (if they were then the triangle isn't scalene). Therefore case 1 leads to dissimilar triangles.

If case 2 happens, then we get the same conclusion as case 1. This time we don't have any angles matching up. Similar triangles must have corresponding angles match up and be congruent. Put another way: similar triangles are the same shape but not necessarily the same size.

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

After completing both cases, we can see that it is impossible to have an equilateral triangle be similar to a scalene triangle. In terms of transformations, we cannot apply any of the following

TranslationReflectionRotationDilation

and have one triangle turn into the other. Again, it's all because the angles do not match up. We may have one matching pair, but we need all three pairs to match.

Is x^2 + 5x -3x^-2 polynomial

Answers

It’s not a polynomial

A polynomial is a combination of terms separated by + + or − -signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

For the solution to the inequality in the previous problem, list all integers from -10 through 10 that will make the
inequality a true statement when substituted for "t"? (The integers for -10 through 10 are shown below.)
{-10,-9,-8, -7, -6, -5, -4,-3,-2,-1,0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
ILL MARK BRAINLIEST IF IT WORKS!!
30 points! HURRY PLEASE

Answers

Answer:

we have the same question but I have know clue what the answer is

-14 + b = -20
b=? ...

Answers

The answer is B= -6

dave says:
the only quadrilateral with two lines of symmetry is a rectangle
is dave correct
explain your answer

Answers

There are 2 symmetry lines of a rectangle which are from its length and breadth. These two lines cut the rectangle in two similar halves which are mirror images of each other. If a rectangle is folded along its line of symmetry, it superimposes perfectly.

I need to solve the equation 6n + 21 = - 3 - 2n

Answers

Answer:

n= -3

Step-by-step explanation:

First, your're going to subtract from both sides

6n + 21 - 2 1= -3 - 2n - 21

Then simplify

6n = -2n - 24

Then add 2n on both sides

6n + 2n = -2n -24 + 2n

Simplify again

8n = -24

Then divide both sides by 8

8n/8 = -24/8

Then simplify and this is your answer

n= -3

Answer: N=-3

Step by step in picture below

i need help with this?

Answers

Answer:

y = 3( [tex]0.5^{x}[/tex] )

Step-by-step explanation:

Exponential function has the form f(x) = k [tex]b^{x}[/tex] where b > 0 and b ≠ 1

~~~~~~

3 = k × [tex]b^{0}[/tex] ⇒ k = 3

1.5 = 3( [tex]b^{1}[/tex] ) ⇒ b = 0.5

Thus, y = 3( [tex]0.5^{x}[/tex] )

ANSWER PLEASE!!!
name the property of real numbers illustrated by the equation. -2(x+4) = -2x - 8

Answers

Answer:

distributive property

Step-by-step explanation:

someone pls answer my recent maths question ;-;

Answers

....where’s it at dude

Can someone help me please and thank you

Answers

Answer:

C right on A P E X

Step-by-step explanation:

I checked it and it’s right hope this helps!

Answer:

The answer is B.30

Step-by-step explanation:

sorry if i get this wrong, and was it multiple choice by any chance cuz it kinda looks like it. But i'll still go with B.

y = 2x - 3 and x = 7​

Answers

Answer:

y = 11

Step-by-step explanation:

y = 2(7) - 3

y = 14 -3

y = 11

yo the answer is 11

(20,-8); 7x - 4y = -5

Answers

The question is incomplete.

However, from the given parameters, a likely question could be to:

1. Write an equation in slope intercept form through (20,-8) and is parallel to 7x - 4y = -5

or

2. Write an equation in slope intercept form through (20,-8) and is perpendicular to 7x - 4y = -5

Answer:

See Explanation

Step-by-step explanation:

First, we calculate the slope of [tex]7x - 4y = -5[/tex]

[tex]7x - 4y = -5[/tex]

Subtract 7x from both sides

[tex]7x-7x - 4y = -5-7x[/tex]

[tex]- 4y = -5-7x[/tex]

Make y the subject

[tex]\frac{- 4y}{-4} = \frac{-5-7x}{-4}[/tex]

[tex]y = \frac{-5-7x}{-4}[/tex]

[tex]y = \frac{5+7x}{4}[/tex]

[tex]y = \frac{5}{4}+\frac{7}{4}x[/tex]

[tex]y = \frac{7}{4}x+\frac{5}{4}[/tex]

The general format of an equation is:

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

Where

[tex]m = slope[/tex]

By comparison:

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

Solving (1): Parallel

Here, we assume that the line is parallel to the given equation.

And as such, it means that they have the same slope

So, we have:

[tex](x_1,y_1) = (20,-8)[/tex]

and

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

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - (-8) = \frac{7}{4}(x - 20)[/tex]

[tex]y +8 = \frac{7}{4}(x - 20)[/tex]

Open bracket

[tex]y +8 = \frac{7}{4}x - \frac{7}{4}*20[/tex]

[tex]y +8 = \frac{7}{4}x - 7*5[/tex]

[tex]y +8 = \frac{7}{4}x - 35[/tex]

Make y the subject

[tex]y = \frac{7}{4}x - 35-8[/tex]

[tex]y = \frac{7}{4}x -43[/tex]

Solving (2): Perpendicular

Here, we assume that the line is perpendicular to the given equation.

And as such, it means that the following relationship exists between their slope:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Where

[tex]m_1 =m =\frac{7}{4}[/tex] -- as calculated above

Substitute 7/4 for m1 in [tex]m_2 = -\frac{1}{m_1}[/tex]

[tex]m_2 = -\frac{1}{7/4}[/tex]

[tex]m_2 = -\frac{4}{7}[/tex]

So, we have:

[tex](x_1,y_1) = (20,-8)[/tex]

and

[tex]m_2 = -\frac{4}{7}[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - (-8) = -\frac{4}{7}(x - 20)[/tex]

[tex]y +8 = -\frac{4}{7}(x - 20)[/tex]

Open bracket

[tex]y +8 = -\frac{4}{7}x + \frac{4}{7}*20[/tex]

[tex]y +8 = -\frac{4}{7}x + \frac{80}{7}[/tex]

Make y the subject

[tex]y = -\frac{4}{7}x + \frac{80}{7}-8[/tex]

[tex]y = -\frac{4}{7}x + \frac{80-56}{7}[/tex]

[tex]y = -\frac{4}{7}x + \frac{24}{7}[/tex]

Take LCM

[tex]y = \frac{-4x + 24}{7}[/tex]

20 Pour chacune des fonctions affines suivantes,
déterminer le coefficient directeur de leur
représentation graphique et en déduire le sens
de variation de la fonction.
1. f(x) = -2x + 1 2. g(x)=3-x
xſ-1
3. h(x) = 2 +
2
4.1(x) =
3
3

Answers

Answer:

2x+14-562-3838(789):

What is the solution and graph for the following inequality?
5x + 2 > -48

Answers

Answer:

x > -10

Step-by-step explanation:

First subtract the 2 from both sides. This gets you to 5x > -50. Last, you divide both sides by 5 and get an answer of x > -10.

Some simplify this plz 12x + 1.5x - 2-7

Answers

10.5x-9 is correct but I think there may be an equal sign in this question if not this is right

Answer:

13.5x + 5

Step-by-step explanation:

12x + 1.5x - 2 - 7 (you always want to work left to right)

13.5x - (2 - 7) (you are free to use the associative property here to isolate like terms)

13.5x - (-5) (remember a number less in value subtracted from a higher value will result in a negative value; giving you this value for instance.)

13.5x + 5 (now since it was basically subtracting a negative from 13.5x you can technically say the same thing by turning the negative value to a positive however you must do the opposite of subtraction as well.)

Use the expression to complete the statements.

(0.5)10


(0.5)10 is the _____.

A. base
B. exponent
C. power

(0.5) is the ______ of (0.5)10.

A. base
B. exponent
C. power

10 is the ______ of (0.5)10.

A. base
B. exponent
C. power

A power is another way to write _________.


A. repeated addition
B. repeated division
C. repeated multiplication
D. repeated subtraction

Answers

Answer:

B

A

A

C

Step-by-step explanation:

I know the third answer is correct but the first two were a bit confusing for me do you have anymore context?? like is it supposed to be (0.5)^10

because then 10 would be the power and 0.5 is the exponent.

Answer:

C A B C

Step-by-step explanation:

The table below shows all of the possible outcomes for rolling two six-sided number cubes.

A table with 36 possible outcomes. There are 9 desired outcomes.

What is the probability of rolling an even number first and an odd number second?

1/9

1/6

1/4

1/2

Answers

C. 1/4

There is a table with 36 possible outcomes. 9 of them are desired outcomes because they have an even number rolled first and then an odd number rolled second (a few random examples from the table would be 2,1, 2,3, 4,1, 4,5, 6,3 etc.)

All we have to do is make a fraction of the desired outcomes over the total number of possible outcomes. 9/36. That can be simplified into 1/4 and voilà, there is your answer.

Hope this helped ッ

My Answer:

The of getting an even number in first and an odd number second is 1/4.

That would be option C.

I just took the quiz in math on edge 2020/2021

I hope this helps!

:)

which decimal is greater 7.512 or 7.396

Answers

Answer:

7.512

Step-by-step explanation:

because 7.5 is greater than 7.3

Andrea had $43.50 to spend on groceries. After buying 4 boxes of cereal, she had $27.70 left. If each box of cereal costs the same amount, what is the price of one box of cereal?

Answers

Answer:

$3.95

Step-by-step explanation:

43.50-27.70=15.80

15.80÷4=3.95

30% in simplest form

Answers

Answer:

I think it's 3/10

Step-by-step explanation:

Sooo for 30% in simplest form is 30m is 3/10. We know that 30% = 30/100.

If 5 pipes of similar size can fill a tank in 1 hour with water.Find the time required to fill the tank by 10 pipes ?

Answers

More pipes less time.

5 pipes means 1h ergo 10 pipes means half, that is 30min.

Hope this helps.

Answer:

It will take 30 minutes to fill the tank with 10 pipes.

Step-by-step explanation:

5 x 2 = 10

It will be half the time because 5 is half of 10

30 minutes.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Enny is selling candles for $3 each at a fund-raiser. If she starts selling with $4 to help her make change, how many candles, x, will she have to sell to end up with $19?

Answers

Answer:

5 candles

Step-by-step explanation:

Enny is selling candles for $3 at a fund raiser

She starts selling $4 to help her make change

Therefore the number of candles x that will be sold to get $19 can be calculated as follows

3x + 4= 19

3x = 19-4

3x= 15

x = 15/3

x= 5

Hence 5 candles must be sold to get $19

6. Solve the problem.
How close must a fireman place a 40-foot ladder to reach a cat stuck atop a 24-foot tree? (Find the distance from the base of the ladder to the tree.)
0 32 ft
0 16 f
64 ft
46.65 ft

Answers

Answer: 32

Step-by-step explanation:

we have in this case  right triangle with a leg equal to 24 and a hypotenuse equal to 40

c^2=a^2+b^2

40^2=24^2+b^2

b^2=1600-576=1024

b=sqrt1024=32

please help me will mark you brainliest​

Answers

Evaluate the exponential function for the given value of x

I think the answer is 3 :)
Other Questions
How are some protists able to live in air. Please help! Will mark brainlist Please give me the correct answer write the decimal equivalent of the following: seven hundred seventy-five thousandths? When this ink filler is dipped into a beaker of water and the bulb is pressed, air bubbles appear in the water. Why does this happen?A. Air in the atmosphere forms the bubbles.B. The air in the ink filler is released to form bubbles.C. The liquid rushes into the filler forming bubbles.D. The air in the water forms bubbles. Which of the following is an example of a company increasing its market penetration? A. Taking customers away from competitors B. Selling existing products to new target markets C. Selling new products to the existing target market D. Selling new products to new target markets Object A is moving 5 feet every 2 seconds. Object B is moving 6 feet every 3 seconds. witch is faster. Long form EC for Aluminum during breathing cycle what is the advantages of residual volume of air in lungs When you give the authors or editors' names in a works cited citation, which of the following things do you need to include? A. Tides, such as Dr., Mr., and Sir B. Degrees, such as PhD, MD, and DDS C. Suffixes, such as Jr. and Ill D. Full middle names Dr. Diwan wants Kays prescription to only be filled once. Which abbreviated instruction should Dr. Diwan include on her prescription?NRNPOD.A.W.e.m.p. Choose the verb below that completes the following sentence, which translates to "They are brothers." Ils ____ freres.A. suisB. aiC. sontD. ont HELP ME PLZFind the slope of the line passing through the points (8, -2) and (3, -6).05Undefined? ? How do you calculate 1/4 of 4 dozen and get the correct answer? for the figure shown below, find the value of the variable and the measures of the angles. x= measure of angle P=measure of angle Q=measure of angle R= What is the solution of StartRoot negative 4 x EndRoot = 100? 16. The colony established by Martn De Len differed from the DeWitt colony because it was F. farther northG. twice as largeH. settled by Mexican familiesJ. home to Irish Catholic immigrants How running in the family novel differ from other novel __ 62, 82, 102, __, 142, 162, 182, __, 222 fill in the blanks Which event happened first (1st)?A. French and Indian WarB. Treaty of Paris 1763C. Proclamation Line of 1763D. Pilgrims arrive in Plymouth F. MassachusettsWhich one happened 2nd?Which one happened 3rd? Which one happened 4th?