Consider the system of linear equations 2x + 3y = 8 and 3x + y = –2. Which statement is correct?
The point (1, 2) is not a solution to the system of equations because it satisfies neither equation.
The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.
The point (1, 2) is a solution to the system of equations because it satisfies the equation 2x + 3y = 8.
The point (1, 2) is a solution to the system of equations because it satisfies both equations.

Answers

Answer 1

Answer:

Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.

Step-by-step explanation:

System of Equations

Consider the following system of equations

2x + 3y = 8      [1]

3x + y = -2       [2]

And the point (1,2). Substituting in both equations:

For equation [1]:

2*1 + 3*2 = 8

2 + 6 = 8

8 = 8

Since the equation is true, point (1,2) satisfies the equation 2x + 3y = 8

Now for equation [2]:

3*1 + 2 = -2

3 + 2 = -2

5 = -2

Since this equation is false, point (1,2) does not satisfy the equation 3x + y = -2

Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.

Answer 2

Answer:

B: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.

Step-by-step explanation:

i got it right on my quiz!


Related Questions

Which phrase represents the expression 7x + 2?

a. seven times two plus a number

b. two times a number plus seven

c. two less than a number multiplied by seven

d. a number multiplied by seven then added to two

Answers

Answer:

D should be the correct answer:) hope this helps:))

The phrase represents the expression 7x + 2 is the number multiplied by seven then added to two, So Option D is correct

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

An expression,7x + 2

here, 7 is coefficient

x is variable

And then in 7x, constant number 2 is added

So it can be state that a number multiplied by seven then added to two

So, the statement is 7  multiplied in number then 2 is added

To know more about Expressions check:

brainly.com/question/16804733

#SPJ5

Please help quickly!!!!

Answers

Answer:

x=13

Step-by-step explanation:

109-5=104

104/8=13

x=13

6x² + 4x / 6x² + 13x + 6 ( please show work )

Answers

Answer:

her friends n her mom hate me lay down on da bed n do da crybaby

Step-by-step explanation:

What is the value of y=4x−2 when x=3? When x=3, y=

Answers

The answer to you question is y=10

HELP I’LL GIVE BRAINIEST

Answers

3 , 2 , 1 ,4
Explaining:

Answer:

1 = Definition of a parallelogram

2 = Alternate interior angle theorem

3 = Angle addition postulate

4 = Substitution

PLEASE ANSWER ASAP !!!!!

Answers

Answer: Its C

Step-by-step explanation: Hope this help, have great day

write equations for a horizontal line and vertical line so that they intersect at the point ( -2, 5)

Answers

For horizontal line:

Y = 5

For vertical line:

X = -2

Drawing a straight line at these points, the lines will intersect at (-2, 5) in the 3rd quadrant of the the graph (bottom left)

Find the X- and y-intercepts of the graph of 8x + 4y = 16. State your answers as
whole numbers or as improper fractions in simplest form

Answers

Answer:

x-intercept: (2,0)

y-intercept: (0, -4)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Jenny selects a box of cereal for her family at the supermarket. Across town, Chase also happens to pick out a box of cereal for his own family. Are these two events dependent or independent?

Answers

Answer:

Independent

Step-by-step explanation:

In clear and simple terms, Events A and B are sid to be independent if the occurrence of event A and event B can occur simultaneously, that is the occurrence of A does not affect or stop the occurrence of B at the time.

The events being compared can happen concurrently with Jenny and chase both making selection for their respective families. However, events which cannot occur together are called mutually exclusive events such as obtaining a head and tail from a single coin toss, this events cannot happen together and are thus not independent.

On average, Tammy is able to read 2 chapters in her book each week. How many weeks will it take Tammy to read 5 1/2 chapters?

Answers

2 3/4 weeks because 2 a week then another week is 4 then add a 1/2 because it’s 5 then add a 4th because there’s another 1/2 so you get 2 and 3/4 weeks

which set of ordered pairs does not represent a function
a. {(0,0),(1,1),(2,2),(3,3)
b.{(0,0),(1,1),(1,2),(1,3)
c.{(1,0),(2,0),(3,0),(4,0)
d.{(1,0),(1,2),(2,3),(3,4)

Answers

Answer: i think C

Step-by-step explanation: Well the X Value would have to change because if you graphed it it would be a straight line going up which wouldnt pass a through a vertical line.

seventy four point three times five point four​

Answers

401.22

Hope this helps!

May I have brainliest please? :D

Answer:

401.22

Step-by-step explanation:

You just regularly multiply.....

You have recently taken out a loan for a new home. You place 10% down and finance the remaining balance. As part of the closing cost, you are required to pay 2.5 points. Determine the amount of the loan prior to the addition of the 2.5 points to the loan if the final loan amount was for $151,625. Round your answer to the nearest cent.

a.
$149,384.24
c.
$147,926.83
b.
$148,651.96
d.
$147,208.74

Answers

Answer:

C. $147,926.83

Step-by-step explanation:

please help (attachment shown below) for 50 pointz hurry

Answers

Answer:

I got C

Step-by-step explanation:

Answer:

2021

Step-by-step explanation:

Type the correct answer in the box.
The product of (3 - 4) and (blank)
is 25.

Answers

Answer:

-25

Step-by-step explanation:

Since product mean multiply, we multiply (3-4) and (blank), which we'll call "n".

(3-4)n = 25

subtract in parentheses

(-1)n = 25

remove parentheses

-1n = 25

swap signs

n = -25

Write an equation of the line that passes through the point (3,2) and is
PARALLEL to the graph of y=3x-2*

Answers

Answer:

y = 3x - 7

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

A triangle has a base of 10 centimeters and a height of 12 centimeters. A rectangle has a base of 10 centimeters and a height of 12 centimeters.
What are the areas of the figures?



The area of the triangle is
___ cm2.


The area of the rectangle is
___ cm2.

Answers

The area of the triangle is

60 cm2.

The area of the rectangle is

240 cm2.

In a two-dimensional plane, an area of triangle is equal to the sum of the areas of its three sides.

To calculate a rectangle's area, count the number of square units that fit within the rectangle's perimeter.

Area of triangle = h x b / 2

Given

h = 12

b =10

hence

A= h x b / 2

  = 12 x 10 / 2

  = 120 / 2

  = 60 cm2

Area of rectangle = l x b

Given

l = 12

b = 10

hence

area of rectangle  = l x b

                          = 12 x 10

                         = 120 cm2

Learn more about the area of rectangles and triangles - https://brainly.com/question/25292087

the answer is 60 and 120

3(2f + 4) = 2(3f - 6)

Answers

Answer:

I would say no solution

Step-by-step explanation:

There are no values of the variable  that make the equation true.

Answer:

no solution

Step-by-step explanation:

0=-24 at the end, which leads to no solution because 0 does not equal -24

MODELING REAL LIFE The table shows the profit y for recycling x pounds of aluminum. Find the profit for recycling 75 pounds of aluminum. Aluminum (lb), x 10 20 30 40 Profit, y $4.50 $9.00 $13.50 $18.00​

Answers

Answer: 33.75

Step-by-step explanation:

It’s right

There is a profit of $33.75 for recycling 75 pounds of aluminum.

What is Function?

A function is a relation from a set to another set such that element in the first set only maps to one element in the other set.

A function f from a set A to a set B can be represented as f : A → B

We have,

Profit for recycling 10 lb Aluminum = 10/10 × 4.5 = 4.50

Profit for recycling 20 lb Aluminum = 20/10 × 4.5 = 9.00

and so on

Therefore, we can write this as a function.

f(x) = [tex]\frac{x}{10}[/tex] × 4.5

We have to find the profit for recycling 75 pounds of aluminum.

f(75) =  [tex]\frac{75}{10}[/tex] × 4.5

       = 7.5 × 4.5

       = 33.75

Hence the profit for recycling 75 pounds of aluminum is $33.75.

To learn more about Functions, click on the link given below :

https://brainly.com/question/18154364

#SPJ2

Please help thank you so muchhhh

Answers

Answer:

if you download PHOTOMATH on your phone. all you have to do is take a picture of it. and it gives you the answer and the work. trust me

Answer:

c.) f(x) = (x +2)² –4

Step-by-step explanation:

We can test values in the equation selected from points on the graph. (-4,0)x intercept. (-2,-4)vertex

0 = (-4 +2)² -4

0 = (-2)² -4

0 = 4 - 4 true

-4 = (-2+2)² -4

-4 = 0² -4. True again.

answer x is a good choice.

Also find the axis of symmetry by calculating –b/2a

(1,3),(2,6),(3,9),(4,12) is the relation a function

Answers

Yes. It passes the vertical line test, and each input has only one output.

i neeed help plsssss! 10 points to whoever gets it right lol

Answers

Answer:

C.

Step-by-step explanation:

Pretty sure the answer is -28 if not it is 28 but pretty sure its the negative one

Answer:

C. (third)

I am to lazy to explain:(

At the beginning of a business day a banks vault held 575,900. by the end of the day 3.5 x 10 to the 3rd power was added. how much money did the banks vault hold at the end of the day. Write your anwer in standard form​

Answers

Answer:

3.5*10^3=3,500

3,500+ 575,900=579,400

Step-by-step explanation:

A right triangle has legs with lengths of 6in and 8in. What is the length of the hypotenuse

Answers

You require the Pythagorean Theorem: in a right triangle the sum of the squares of the legs equals the square of the hypotenuse.
In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2, i.e. the hypotenuse is 10.
Please note that a so-called 3-4-5 right triangle is the smallest right triangle which has integer sides...and of course, a 6-8-10 triangle like this one is simply a magnification of the smaller, i.e. a so-called similar triangle.

Answer: 10

Step-by-step explanation:

the formula is √a^2+b^2=c^2

so your equation should look like this √6^2+8^2=c^2

6·6=36

8·8=64

√36+64

√100=10

the hypotenuse or c^2 is 10

If SU and VX are parallel lines and mUTR = 115°, what is mSTW?

Answers

Answer:

m STW = 115°

Step-by-step explanation:

here, SU || VX

m STW = m UTR

( vertical opposite angles )

Hence, STW = 115°

A square is cut diagonally into two equal parts. If each part has an area of 50 cm2, then what is the perimeter of each part?

Answers

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

The bronx zoo opened at 9.00 am. In the first hour 280 people purchased admission tickets. In the second hour 25 percent more people purchased admission people than the first hour . Each ticket cost 16.25. What was the total amount of money paid for all the tickets purchased in the first two hours

Answers

Answer:

Total amount paid for tickets in the two hours =  $10,237.50

Step-by-step explanation:

Step 1

Ist Hour, 280 tickets were sold at the cost of $16.25

Amount of money made in the first hour= Number of people who purchased ticket  x price of a ticket

=280 x 16.25 =$4,550

2nd Hour, 25 % more people purchased ,

which means the total number of people who purchased tickets =

1.25 x 280= 350

Amount of money made in second hour =  Number of people who purchased ticket  x price of a ticket 350 x 16.25 =$5,687.5

Step 2

Total amount paid for tickets in the two hours =  Amount of money made in the first hour +Amount of money made in second hour

=$4,550+ $5,687.5

=$10,237.50

If there are 6 boys and 54 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Answers

Answer: 9

Step-by-step explanation: We know how many boys there are (6) and girls (54). But we need to fill out all of the possible ratios of boys to girls.

To do that, we divide 54 by 6.

54 / 6 = 9

c) If a pen and a pencil cost £1.10 for both and the pen
costs £1 more than the pencil, what is the cost of the pen?

Answers

Answer:

$3.10

Step-by-step explanation:

What is the value of x?
30°
130
to

Answers

Answer:

20

Step-by-step explanation:

Most likely this is a triangle triangle have 180 always

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Name two reasons African Americans moved to the North. Write a scientific explanation for why there are different climate seasons on earth. You have recently taken out a loan for a new home. You place 10% down and finance the remaining balance. As part of the closing cost, you are required to pay 2.5 points. Determine the amount of the loan prior to the addition of the 2.5 points to the loan if the final loan amount was for $151,625. Round your answer to the nearest cent.a.$149,384.24c.$147,926.83b.$148,651.96d.$147,208.74 i neeed help plsssss! 10 points to whoever gets it right lol Write an equation of the line that passes through the point (3,2) and isPARALLEL to the graph of y=3x-2* How do the two desalination processes differ from the atmospheric water generator in terms of where the processes can be used? (1,3),(2,6),(3,9),(4,12) is the relation a function Barbie spent $166 on clothes. She bought some shirts that cost $14 each and some pants that cost $22 each. She bought a total of 9 items. Select the system of equations to determine how many shirts and pants Barbie purchased. Let x represent the number of shirts and y represent the number of pants. x + y = 16614x + 22y = 9 x + y = 166, , 14x + 22y = 9, x + y = 922x + 14y = 166 x + y = 9, , 22x + 14y = 166, x + y = 914x + 22y = 166 x + y = 9, , 14x + 22y = 166, x + y = 36166x + 9y=14x + 22y 3(2f + 4) = 2(3f - 6) HELP ILL GIVE BRAINIEST How do banks help the economy grow? (4 points) a They hold money in vaults. b They take workers' earnings. c They give loans to businesses. d They charge interest on deposits. Write in brief about the preservation of local medicinal plants. any 4 points. i need help pls help me with math PLEASE HELP URGENT!!!!!!!!!! MODELING REAL LIFE The table shows the profit y for recycling x pounds of aluminum. Find the profit for recycling 75 pounds of aluminum. Aluminum (lb), x 10 20 30 40 Profit, y $4.50 $9.00 $13.50 $18.00 A potential difference of 12Voltage is applied across a resistor of 120resistance the current in the circuit is If SU and VX are parallel lines and mUTR = 115, what is mSTW? At the beginning of a business day a banks vault held 575,900. by the end of the day 3.5 x 10 to the 3rd power was added. how much money did the banks vault hold at the end of the day. Write your anwer in standard form You buy items totaling $52.25 with a 6% sales tax. You give the clerk three $20.00 bills. Figure the following amounts:a. The amount of sales taxb. The total cost including taxc. The amount of change you should receive. What is the value of y=4x2 when x=3? When x=3, y=