What is the solutions of the following system of equations.

y = -2x + 2

y = x - 1

Answers

Answer 1

Answer:

x = 1, y = 0

Step-by-step explanation:

Given the 2 equations

y = - 2x + 2 → (1)

y = x - 1 → (2)

Substitute y = x - 1 into (1)

x - 1 = - 2x + 2 ( add 2x to both sides )

3x - 1 = 2 ( add 1 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting into (2)

y = 1 - 1 = 0

Solution is (1, 0 )


Related Questions

Find factors of following polynomial
A) 7 + 4 + 56 + 32 B) + 9 + 8 + 72
C) (42− 12 + 9 2− 92 )
plz answer properly
I will mark the person brainliest who answers properly

Answers

Step-by-step explanation:

the cotrect one is C

❤❤❤❤

Louisa has a goal of collecting 100 pounds of dog food for a local shelter. She records how many pounds of food she collects each week. Week Pounds Collected 1 20.5 2 18 and three-fourths 3 32.75 How many more pounds of dog food does Louisa need to reach her goal? 18 27 28 72

Answers

Given:

Louisa has a goal of collecting 100 pounds of dog food for a local shelter.

The table of values which represents the number of pounds of food she collects each week.

To find:

The number of more pounds of dog food Louisa need to reach her goal.

Solution:

For first week = 20.5 pounds

For second week = [tex]18\dfrac{3}{4}=18.75[/tex]

For third week = 32.75

Now,

[tex]\text{Remaining pounds of dog food Louisa needs}=100-(20.5+18.75+32.75)[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=100-72[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=28\text{ Pounds}[/tex]

Therefore, the correct option is C.

Beau buys a 3 pound bag for a hike. He wants to make 4 ounce bags for his friend going with him. How many 4 ounce bags can he make?

Answers

Answer:

12 bags

Step-by-step explanation:

3 pounds = 48 ounces

48 ÷ 4 = 12

Answer:

12 bags

Step-by-step explanation:

2 (x - 3) + x(x + 1)

Answers

Answer:

[tex]x^{2}[/tex] + 3 - 6

Step-by-step explanation:

Answer:

x2+3x-6

Step-by-step explanation:

I need the measure of angle 1

Answers

Answer:

Angle 1 is 69°

Step-by-step explanation:

9x + 66 = -9x + 156

9x + 9x = 156 - 66

18x = 90

18x/18 = 90/18

x = 5

-9x + 156

-9(5) + 156

-45 + 156

111

180 - 111 = 69.

if dan was 4 years old 18 years ago, how old will he be 16 years from now?

Answers

Answer:

4+18 = 22 thats now in 16  years would be 38 years old

Step-by-step explanation:

In the diagram , A'B'C' is an image of ABC . Which rule describes this translation ?

Answers

Answer:

D is the answer

Step-by-step explanation:

5 units right and 3 units up

Yo can somebody help me with this question

Answers

Answer:

[tex]\huge\boxed{x=9}[/tex]

Step-by-step explanation:

[tex]\angle A\cong\angle B\qquad\text{therefore}\qquad AC\cong BC\Rightarrow|AC|=|BC|\\\\\text{We have}\ |AC|=20;\ BC=3x-7.\\\\\text{Therefore}\\\\3x-7=20\qquad|\text{add 7 to both sides}\3x-7+7=20+7\\\\3x=27\qquad|\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{27}{3}\\\\x=9[/tex]

What is an area model of 15 times 11

Answers

Answer:

165

Step-by-step explanation:

you need to x it

Josh worked 30 hours last week and earned $8.50 per hour. If $32.50 was withheld from his paycheck, what was Josh's net pay?

Answers

Answer:

$222.50

Step-by-step explanation:

Hours Josh worked last week = 30

Money earned per hour = $8.50

Money withheld = $32.50

Josh's net pay = (30 x 8.50) - 32.50

                        = 255 - 32.50

                        = $222.50

Pls mark as brainliest <3

The perimeter of a rectangular classroom is 52 feet. If the length is 10 more feet than the width, what is the length?

Answers

Answer: 18 by8

Step-by-step explanation:

Anna mixes purple and pink dye to create lavander. For every 8 tsp of purple dye, Anna adds 3 tsp of pink dye. Which statement about the relationship between the purple dye and pink dye is true

Answers

Answer:

8 tsp purple : 3 tsp pink

Step-by-step explanation:

Point C is located at (1, 2), and point D is located at (-4,-2). Find the point that is the distance from point C
to point D. (1 point)
a. (-0.25, 1)
b. (-1.5,0)
c. (-0.5, 1.5)
d. (0.25, 2.25)

Answers

Answer:

The answer would be c

Step-by-step explanation:

i choosed c because u have da negative sign in front of 4 and 2 and positive numbers with 1 and 2

Answer:

b

Step-by-step explanation:

I think this means to find the mid-point(?) of the line which by doing that you take both x-values and you add them and then divide by two, and then you take both y-values and add them and then divide by two. So you have: (1+-4)=-3, (-3/2)=-1.5

-1.5=x

(2+-2)=0, (0/2)=0

0=y

(-1.5, 0)

I need the answer for this, i have posted this multiple times

Answers

Answer:

1st staement, second option 2nd statement 3rd option, 3rd staement, 4th option, 4th statement, 1st option

Step-by-step explanation:

hope this is right!

A prop for a school play is a sphere that will be hung from the ceiling. The surface area of the sphere is 5 024 cm'. If the surface area of the sphere can be found by using the formula SA = 4πr^2. where r is the radius, what is the radius of the sphere, to the nearest cm?

Answers

Answer:

The radius of the sphere, to the nearest cm:

[tex]r\approx 20[/tex] cm

Step-by-step explanation:

The surface area of a sphere is given by the formula

A = 4πr²

where r is the radius of the sphere.

Given

The surface area of sphere A = 5024 cm²

The radius of the sphere can be determined such as

[tex]A\:=\:4\pi r^2[/tex]

[tex]r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}[/tex]

Plug in Surface Area of sphere =  5024, π = 3.14 in the formula

[tex]\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:[/tex]

[tex]r\approx 20[/tex] cm

Therefore, the radius of the sphere, to the nearest cm:

[tex]r\approx 20[/tex] cm

Determine whether the relation is a function.​

Answers

This is a function because they have different x that go to y the y

Is 72,681 is rounded to the nearest thousands

Answers

Answer:

70,000

Step-by-step explanation:

Answer:

The correct answer is 73,000.

Step-by-step explanation:

This is because, we know that the number 7 or 70,000 represents the ten-thousands in this number. Therefore, the number 2 or 2,000 represents the thousands place, which is what we are trying to round.

In order to do so, we have to look at the number behind it, which, in this case, is 6.

Rule: If the number is 4 or less, the number before it stays the same. If the number is 5 or more, the number before it goes up 1.

Since 6 is larger than 5, the 2 will become a 3, while the other numbers become 0s.

Therefore, the correct answer is 73,000.

Hope this helps! :)

please help if you can

Answers

Answer:

5.66 units

Step-by-step explanation:

please help me!!!!!!!!!!!!!

Answers

Let x be the length of each row.
Denver can plant 3 rows of a certain length with 2 seedlings leftover.
Total number of seeds he has = 3x+2 Denver can plant 4 rows of the same length with 3 seedling spots left empty.
Total number of seeds he has = 4x-3 Using (i) and (ii), we get= 3x+2=4x-3

Isolate variable terms: 2+3=4x-3
Answer= 5=X

Which expression is equivalent to 4(9k+3)? A) 4(-7k+16k+3) B) 3(9k+4) C) 4(3k+9) D) 9(3k+4)

Answers

Answer:

Option A "4(-7k+16k+3)" would be the appropriate choice.

Step-by-step explanation:

On solving the equation, we get

⇒ [tex]4(-7k+16k+3)[/tex]

On applying BODMAS rule, we get

⇒ [tex]4(9k+3)[/tex]

Therefore,

⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]

All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.

halp plz my mommy sayd that i neda awnsur this to pas my test!!!!!! i wil brainlist!!!! :))

John has 4 apples, he gives 2 to Karen. How many apples will John have if he give 2 more apples to Becky?

thx for haplin me!! :)

Answers

Question:

Each week, Tasha saves 80% of the money she earns babysitting and spends the rest. This week she earned $80.00.

How much more money did she save than spend this week?

Answer:

none. i better be right or else im  jumping off my roof

1. ADEA has vertices D(8,4), E(2, 6), and F(3, 1). What are the vertices of the image after a dilation with a scale factor of 5 using the origin as the center of dilation? TO​

Answers

Answer:

The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k using the origin as a center of dilation, then its image is (kx, ky)

Let us use this rule to solve our question

∵ The vertices of ΔDEF are D (8, 4), E (2, 6), and F (3, 1)

∵ ΔDEF dilated by a scale factor 5

k = 5

∵ The origin as the center of dilation

→ That means, multiply the coordinates of every point by 5

∴ D' = (8 × 5, 4 × 5)

D' = (40, 20)

∴ E' = (2 × 5, 6 × 5)

E' = (10, 30)

∴ F' = (3 × 5, 1 × 5)

D' = (15, 5)

The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

please help, i have 10 minutes left!! no joke please help :(

Answers

Answer:

105

Step-by-step explanation:

Angles in triangles are equal to 180. Substract the 2 known angles to get  your answer.

Identify any constraints on the domain

Every day Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the numbers of laps she swims and how long it takes her to complete the laps, in minutes
Choose the correct answer below.

OA. The domain consists of all integers greater than or equal to 10 and less than or equal to 20

OB. The domain consists of all integers less than or equal to 20
OC The domain consists of all integers greater than or equal to 0

OD. The domain consists of all integers greater than or equal to 0 and less than or equal to 20

O E. The domain consists of all integers greater than 0 and less than or equal to 20

Answers

Answer:

Step-by-step explanation:

A vertical asymptote represents a value at which a rational function is undefined, so that value is not in the domain of the function. A reciprocal function cannot have values in its domain that cause the denominator to equal zero. In general, to find the domain of a rational function, we need to determine which inputs would cause division by zero.

A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its volume?
166 m 3
70 m 3
84 m 3
140 m 3

Answers

Answer:

The volume of a rectangular prism = V = 140 m³

Step-by-step explanation:

Given:

Length l = 4 mWidth w = 5 mHeight h = 7 m

To Determine:

The volume of rectangular prism = V

Using the formula to determine the volume of the prism

V = l × w × h

V = 4 × 5 × 7

V = 140 m³

Therefore, the volume of a rectangular prism = V = 140 m³

What is the slope of this line?

y= -5/3x + 5

Answers

Answer:

-5/3

Step-by-step explanation:

Answer:

-5/3

Step-by-step explanation:

y=mx+b

m is the slope

so its -5/3

Hope this helps plz hit the crown :D

A three-and-a-half foot stick is cut into two pieces. One piece is
1.65 ft long. How long is the other piece?

Answers

Answer:

1.4

Step-by-step explanation:

3.05 is the length of the stick and 1.65 is one part if the stick si we subtract 1.65 from 3.05 to find the length of the other piece

1.4 I hope I helped have a nice day!!

Use the point (0, 500)and (6, 740) to write an equation for the best line of best fit

Answers

Answer:

y = x(40) + (500)

Step-by-step explanation:

slope = 40

y-in.. = 500

slope =

500 - 740 = -240

_______

0 - 6 = -6

slope = 240/6 or 40

I need the measure of 6

Answers

Answer:

angle 6 is 63

They are alternate to each other

Step-by-step explanation:

Here, we want to get the measure of angle 6 from the diagram

From the diagram,

angle 6 is also 63

The reason for this is because the two angle measures are alternate angles and alternate angles are congruent

Which is the graph of f(x) = |x| +3? ​

Answers

I think it’s C because the point is at 3
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