solve the following system of equations by graphing y=2x+2y=x-1

Answers

Answer 1

y = 2x + 2

for x = 0 → y = 2(0) + 2 = 0 + 2 = 2 → (0, 2)

for x = -1 → y = 2(-1) + 2 = -2 + 2 = 0 → (-1, 0)

y = x - 1

for x = 0 → y = 0 - 1 = -1 → (0, -1)

for x = 1 → y = 1 - 1 = 0 → (1, 0)

Look at the picture.

Answer: (-3, -4) → x = -3 and y = -4.
Solve The Following System Of Equations By Graphing Y=2x+2y=x-1

Related Questions

Aidens age Is 1/7 of his father’s age. His father will be 61 years old in five years. In how many years will Aidens age be 1/5 of his fathers age ?

Answers

Answer:

see below    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Aiden's father will be 61 in 5 years:

61 - 5 = 56

Since Aiden is 1/7 of his father's age just divide his father's age by 7:

56 ÷ 7 = 8     Aiden is currently 8 years old.


Aiden                 his father                         is he 1/5 his fathers age

9                           57                                   9 x 5 = 45  NO

10                          58                                  10 x 5 = 50  NO

11                            59                                  11 x 5 = 55   NO

12                            60                                 12 x 5 = 60  YES


Final answer:

Aiden is 1/7 of his father's current age, and his father is currently 56. Given that we want Aiden's age to be 1/5 of his father's, the number of years that would need to pass is 14 years.

Explanation:

Firstly, let's determine Aiden's current age and his father’s current age. We know that Aiden's age is 1/7 of his father’s age, and that his father will be 61 in five years, meaning that his father is currently 56. Thus, Aiden, being 1/7 of his father’s age, is 8 years old.

Let's denote the number of years that we are looking for as 'x'. In 'x' years, Aiden will be 8+x years old, and his father will be 56+x. For Aiden’s age to be 1/5 of his father’s age, the following must be true: (8+x) = 1/5*(56+x). Solving this equation gives us x = 14. Therefore, in 14 years, Aiden's age will be 1/5 of his father's age.

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Which equation represents a proportional situation? y = 6x + 4 y = –3x + 10 y = –2x – 14 y = 14x

Answers

The equation of proportional situation is y = ax.

Therefore your answer is y = 14x

HELP ASAP !!!
which variable is most important to the following problem? A company has 95,000 shares of stock to sell. A stockbroker decides to buy 150 shares of the stock for each of her 250 clients. How many shares will the company have left to sell after the stockbroker makes her purchase

A. the number of shares the stockbroker bought for each customer
B. the price of one share
C. the number of shares remaining after the stockbroker buys shares for her customers

Answers

Answer: the price of shares is never mentioned  

the number of shares bought for each customer (what customers? does customer = client?) .... bought for each client is what you're solving for  

so C. number of shares remaining to be sold  

if 95,000 shares available before sale, 75,000 after, 20,000 were sold.  

20,000 shared among 250 people is 80 shares each.

Answer:

C. the number of shares remaining after the stockbroker buys shares for her customers

Step-by-step explanation:

Here Most important variable is asked, So Option (C) is the best choice. It is the most important variable for finding the number of shares the company has left.

Option (A) can't be chosen because it is comparatively less important than option (C).

Option (B) never can be an important variable since the price of shares is not given.

Also, The number of shares the company has left after stockbroker's purchase = 95000 - 150×250 = 57500.

If the length of a rectangle is 7/8 and the width is 1/4 of a meter then what is the area, A=lw, of the rectangle

Answers

Answer:

7/32 square meters

Step-by-step explanation:

Multiply the fractions. The numerators multiply to 7*1 = 7. The denominators multiply to 4*8 = 32. This is why (7/8)*(1/4) = 7/32. The units are "square meters" to indicate we're dealing with area instead of a linear measurement.

note: 7/32 = 0.21875

Answer:

7/32 square meters

Step-by-step explanation:

The area of a rectangle is A = L * W.

Here, that area is A = (7/8)(meter)(1/4)(meter) = 7/32 meter^2.

a flat surface made up of points that extends indefinitely in all directions

Answers

Good morning Sir/Ma'am!

Answer:

A plane is a flat surface made up of points that extends infinitely in all directions.

Hope this helps! Have a great day!

~Sky

Isabel is mailing packages. Each small package costs her $2.30 to send. Each large package costs her $3.60 . How much will it cost her to send 5 small packages and 4 large packages? (im not very smart)

Answers

Answer:

the answer is 25.9 round it to 26 if needed

Step-by-step explanation:

2.30 * 5 =11.50

3.60 * 4 =14.4

11.50+14.4=25.9

Well first let's do the small packages $2.30 * how many your sending which is 5.  $2.30 * 5 = $11.50 and do the same for the big packages 3.60 * 4 = $14.40. Now add up both $11.50 + $14.40 = 25.90

Hope That Helps

How many seconds are in a hour?

Answers

Answer:3600


Step-by-step explanation:


there are 3600 seconds

what inequality represents the sentence the quotient of a number and 3 is no more than 15

Answers

Answer:

n/3 ≤ 15

Step-by-step explanation:

Quotient = n/3

The quotient cannot be greater than 15, but it can equal 15.

n/3 ≤ 15

The quotient of a number and 3 is no more than 15 represented by x/3 ≤ 15.

What is problem-solving?

Problem-solving is defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. For example, a trainer may need to figure out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

Solution:

let the number be X

x/3 ≤ 15

Quotient = x/3

Since the quotient cannot be greater than 15, it can equal 15.

                ∴ x/3 ≤ 15

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a cone has a radius of 6cm and height 9 calculate a)the volume and curved surface area b) total surface area

Answers

Answer:

V = 339.3 cm³; L = 203.9 cm²; A = 317.0 cm²  

Step-by-step explanation:

a) Volume

The formula for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓π × 6² × 9

V = ⅓π × 36 × 9

V = 108π cm³

V ≈ 339.3 cm³

=====

Curved surface area  

The formula for the lateral surface area (L) of a cone is

L = πr√(r² + h²)

L = π×6√(36 + 81)

L = 6π√[9(4 + 9)]

L = 6π√(9 × 13)

L = 18π√13 cm²

L ≈ 203.9 cm²

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

b) Base surface area

The base is a circle, so the formula for base surface area (B) is

B = πr²

B = π×6²

B = 36π cm²

B ≈ 113.1 cm²

=====

Total surface area

A = L + B

A = 18π√(13 +36π)

A = 18π(2 + √13) cm²

A ≈ 203.9 + 113.1

A ≈ 317.0 cm²

Ben thinks that the slope ratio for this triangle is 7/10. Carlissa thinks the ratio is 10/7 Who is correct? Explain your thinking fully.

Answers

Answer:

Both answers are correct, depending on the angle taken as reference

Step-by-step explanation:

we know that

In a right triangle

The slope ratio of the triangle is equal to the function tangent

The function tangent in a right triangle is equal to the opposite side to the angle divided by the adjacent side to the angle

so

[tex]tan(35)=\frac{7}{10}[/tex] -----> Ben's ratio

and

[tex]tan(55)=\frac{10}{7}[/tex] ------> Carlissa's ratio

therefore

The slope will depend on the angle taken as a reference

so

Both answers are correct, depending on the angle taken as reference.

Help me!!! Give me steps how to make this look like I showed my work on paper.

Answers

Answer:

p=2

Step-by-step explanation:

3(p+1)=9

3 x ? = 9

3x3=9

p+1 = 3

P=2

3(2+1)=9

3(3)=9

9=9


BRAINLIEST?

Answer:


Step-by-step explanation:

divide by three on both sides of the equal sign.

Then subtract one from from both sides of the equal sign.

the answer is    p=2

3(p+1)=9

(p+1)=3

p=2

Mary is twice as old as Jane was when Mary was as old as Jane is now. The sum of their ages is 28. What is the age of each girl?

Answers

Answer:

Mary's age is 16.8 years

Jane's age is 11.2 years

Step-by-step explanation:

Let's assume Jane was x years old

Mary is twice as old as Jane a long time ago

so, Marry's age =2x

difference in age =2x-x=x years

It means that Marry is x year older than Jane

now, we have

Mary was as old as Jane is now

or we can say that

Jane is as old as Mary was

we know that

Mary =2x years

so, Jane age becomes

Jane=2x years

and we have got

As Mary is x years older than Jane

so, Mary's age =2x+x=3x years old now

now, we are given

The sum of their ages is 28

So,

Mary's age + Jane's age =28

[tex]3x+2x=28[/tex]

[tex]5x=28[/tex]

[tex]x=5.6[/tex]

Mary's age is

[tex]=3\times 5.6[/tex]

[tex]=16.8[/tex]

Jane's age is

[tex]=2\times 5.6[/tex]

[tex]=11.2[/tex]

5Y+2-3(4Y)=0
WHAT DOES THIS EQUAL

Answers

Hello.

Y= 2/7

Step 1: Simplify both sides of the equation.

5y+2−3(4y)=0

5y+2+−12y=0

(5y+−12y)+(2)=0(Combine Like Terms)

−7y+2=0

Step 2: Subtract 2 from both sides.

−7y+2−2=0−2

−7y=−2

Step 3: Divide both sides by -7.

−7y/−7=−2/−7

y=2/7


Have a nice day.


which is a correct two-column proof? Given: <H and <X are supplementary. prove: l || n

Answers

Answer:

option-B

Step-by-step explanation:

we are given

<H and <X are supplementary angles

so,

<H+<X=180

we know that

<H and <E are vertically opposite angles

so, they must be equal

<H=<E

we can plug it

<E+<X=180

It means that angle(E) and angle(X) are supplementary angles

and these two angles are same side interior angles

By using same side interior angles converse

so, line(l) and line(n) must be parallel

so, option-B

Answer:

Option (B) is correct

Step-by-step explanation:

∠H and ∠X are supplementary as given, ∠H + ∠X = 180

And, ∠H = ∠E ( Vertical opposite angles are equal )

So, by substitution ∠E + ∠X = 180  

So, the sum of same side interior angles ∠E and ∠X is 180 therefore, by using converse of same-side Interior angles theorem we get  l║m.

The correct option is B


If 10 pencils and 7 erasers cost $4.23 and 3 pencils and 1 eraser cost $0.95, what is the cost of 2 erasers?

Answers

Answer: $0.58

Step-by-step explanation:

Let x represent pencil and y represent eraser

10x + 7y = 4.23   →   1(10x + 7y = 4.23)   →   10x + 7y =  4.23

3x  + y  = 0.95   →  -3(3x  + y  = 0.95)   →   -21x - 7y = -6.65

                                                                    -11x         = -2.42

                                                                  ÷-11             ÷-11      

                                                                         x        = 0.22  

      3x + y = 0.95

3(0.22) + y = 0.95

   0.66 + y = 0.95

               y = 0.29

2y = 2(0.29)  = 0.58


Please help. Will reward brainliest

Answers

Answer: B


Step-by-step explanation:


My friend says it is B.

Jacob mixes 1/3 cup o yellow paint for every 1/5 cup of blue paint to make green paint how many cups of yellow paint are needed for one cup of blue paint

Answers

1/5 (5) = 5/5, or 1 cup of blue paint

1/3 (5) = 3/5, or 0.6 cup of yellow paint.

Answer:

[tex]\dfrac{5}{3}[/tex] cups

Step-by-step explanation:

Jacob mixes [tex]\dfrac{1}{3}[/tex] cup of yellow paint for every [tex]\dfrac{1}{5}[/tex] cup of blue paint to make green paint.

The ratio of yellow paint to blue paint = [tex]\dfrac{1}{3}:\dfrac{1}{5}[/tex]

                                                               = 5:3

[tex]\dfrac{1}{5}[/tex] cup of blue paint = [tex]\dfrac{1}{3}[/tex] cup of yellow paint

  1 cup of blue paint = [tex]\dfrac{1}{3}\div\dfrac{1}{5}[/tex] cup of yellow paint

[tex]\Rightarrow \dfrac{1}{3}\div\dfrac{1}{5}[/tex]

[tex]\Rightarrow \dfrac{5}{3}[/tex]

Hence, For 1 cup of blue paint needed [tex]\dfrac{5}{3}[/tex] cups of yellow paint.


[tex]3(2x - 3) = 4(x + 1)[/tex]
solve the problem and show your work

Answers

Answer:

x = [tex]\frac{13}{2}[/tex]

Step-by-step explanation:

distribute parenthesis on both sides of the equation

6x - 9 = 4x + 4 ( subtract 4x from both sides )

2x - 9 = 4 ( add 9 to both sides )

2x = 13 ( divide both sides by 2 )

x = [tex]\frac{13}{2}[/tex]


273 × 346 in standard algorithm

Answers

Final answer:

To multiply 273 by 346 using the standard algorithm, follow these steps and the result is 94,608.

Explanation:

To multiply 273 by 346 using the standard algorithm, follow these steps:

Multiply the units' digits: 3 * 6 = 18. Write down the 8 and carry over the 1.

Multiply the tens' digits: 7 * 4 = 28. Add the carried-over 1: 28 + 1 = 29. Write down the 9 and carry over the 2.

Multiply the hundreds' digits: 2 * 3 = 6. Add the carried-over 2: 6 + 2 = 8.

Write down the result in the correct place value: 8 (hundreds), 9 (tens), 8 (units).

So, 273 multiplied by 346 gives us 94,608.

A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.


Which value could replace x on the table?

(4 – g) 1.5

(4 – g) + 1.5

4g – g(1.5)

(4 – g)g

Answers

Plz provide a 'Table'


Answer:

the answer is A.(4-g)1.5

Step-by-step explanation:

Triangle ABC A(3, 0) B(10, 1) C(6, 3)

Answers

Answer:

See picture.

Step-by-step explanation:

There you go.

Cost: 10.00
Markup Rate 60%
What is the selling price and why?


(Help I don’t understand)

Answers

Answer:

$16

Step-by-step explanation:

$10 is the original price when it is out of the factory. If they are marking it up, they are raising the price by 60%. 160% of 10 is 16, so your answer is $16. Please mark my answer as brainliest

£2300 is invested for 4 years at 5% per year simple interest.

Work out the total interest.

Answers

Answer:

The total interest is £460.

Step-by-step explanation:

Formula

[tex]Simple\ interest = \frac{Principle\times Rate\times Time}{100}[/tex]

As given

£2300 is invested for 4 years at 5% per year simple interest.

Principle = £2300

Rate = 5%

Time = 4 years

Put in the formula

[tex]Simple\ interest = \frac{2300\times 5\times 4}{100}[/tex]

[tex]Simple\ interest = \frac{46000}{100}[/tex]

Simple interest = £460

Therefore the total interest is £460.

Answer: £460

Step-by-step explanation:

Use this formula to find the total interest [tex]I=\frac{P*R*T}{100}[/tex]

I stands for interest, P is principal, R is rate, and T is time.

Principle = £2300

Rate = 5%

Time = 4 years

[tex]\frac{2,300*5*4}{100} =\frac{46,000}{100} =460[/tex]

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)  

- Cutiepatutie ☺❀❤

HI CAN SOMEONE PLZ HELP ME I HAVE NO CLUE HOW TO DO THIS SOS. THANKS SM!!!❤️❤️❤️

Answers

Problem 1)

This question is incomplete. It asks us to find something, but doesn't say what to find. It's literally blank after the word "find" which suggests your teacher made a typo. Please get back to me on this. Thanks.

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

Problem 2)

Angles GAR and GAT are supplementary because they are a linear pair. They form a straight angle. So we add up the expressions of x for each of these angles, solve for x, and use this to find angle GAR.

(angle GAR) + (angle GAT) = 180

(5x) + (3x+4) = 180

8x+4 = 180

8x+4-4 = 180-4

8x = 176

8x/8 = 176/8

x = 22

Note: now that I reached this point I realize that this might be the answer to problem 1; however, I'm not 100% sure because of the incomplete problem.

Use this x value to find angle GAR

angle GAR = 5*x

angle GAR = 5*22

angle GAR = 110

Unfortunately this answer isn't listed. I'm thinking your teacher made another typo.

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

Problem 3)

Answer: angle GAR and angle ABQ are corresponding angles.

Thankfully this answer is listed. Corresponding angles are angles that are on the same side of the transversal line and they are either both above or below the parallel lines they are next to. In this case, they are both above the parallel line counerparts.

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

Problem 4)

Corresponding angles are congruent as long as we have a set of parallel lines. So that means angle ABQ is equal to angle GAR. So angle ABQ is also 110 degrees

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

Problem 5)

angle BAT = angle GAR,  because they are vertical angles

angle BAT = 110

angle BAT = (angle BAD) + (angle DAT)

(angle BAD) + (angle DAT) = angle BAT

(100) + (angle DAT) = 110

angle DAT = 110-100

angle DAT = 10

angle ADB = angle DAT,  because they are alternate interior angles

angle ADB = 10

--------

Final Answer: 10 degrees


how many solutions does this system have? y = 5x - 1 y = -3x + 7

Answers

Answer:

There are no solutions.

Step-by-step explanation:

Nothing can be done further.

The given system of equations has exactly one solution for x =1 that is y = 4.

What is the system of linear equation ?

A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation.

The system of equations given is :

y = 5x - 1        ---- -- ---- ---- ---- ---- ---- ---- ---- ---- Equation 1

y  = -3x + 7     ---- -- ---- ---- ---- ---- ---- ---- ---- ---- Equation 2

Solving the system of equation by subtracting equation 2 from equation 1.

y - y = (5x + 3x) + (-1 - 7)

0 = 8x - 8

x = 1

So , for x = 1 , we have values of y as :

y = 4

and

y = 4

So, the system of equation has one value for x = 1 that is y = 4.

Therefore , the given system of equations has exactly one solution for x =1 that is y = 4.

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Mora is using a map to find the distance between her house and her cousin's house. She knows that $2$ centimeters on the map represent $300$ miles. On the map, the distance between her house and her cousin's house is $20$ centimeters.

Answers

Answer:


Step-by-step explanation:

2÷20= 10 × 300= 3,000 miles

The distance between her house and her cousin's house is 3000 miles.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 seconds

1 minute = 60 seconds

1 km = 1000 m

We have,

2 cm = 300 miles

The distance between her house and her cousin's house.

= 20 cm

= 10 x 2 cm

= 10 x 300

= 3000 miles

Thus,

3000 miles is the distance between her and her cousin's house.

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The ordered pairs model an exponential growth function.

{(−1,21.875), (0,35), (1,56), (2,89.6)}

What is the function equation?



Enter your answer in the box.

Answers

Answer:

[tex]y=35\cdot (1.6)^x.[/tex]

Step-by-step explanation:

Find the exponential function in a form [tex]y=a\cdot b^x.[/tex]

1. At x=0,

[tex]35=a\cdot b^0=a.[/tex]

2. At x=1,

[tex]56=35\cdot b^1\Rightarrow b=\dfrac{56}{35}=\dfrac{8}{5}=1.6.[/tex]

Therefore, the expression for the exponential function is

[tex]y=35\cdot (1.6)^x.[/tex]

Note that

[tex]y(-1)=35\cdot (1.6)^{-1}=\dfrac{35}{1.6}=21.875[/tex]

and

[tex]y(2)=35\cdot (1.6)^2=35\cdot 2.56=89.6.[/tex]

Final answer:

The exponential growth function represented by the provided set of ordered pairs is[tex]y = 35 \times 1.6^x,[/tex] where 'a' is the initial value and 'b' is the growth factor derived from the given points.

Explanation:

To begin determining the underline equation of this exponential growth function, we first need to recognize that the general form of an exponential function is[tex]y = ab^x[/tex] , where a is the initial value (the output when x=0) and b is the growth factor.

In the provided set of ordered pairs, when x = 0, y = 35.  Therefore, a = 35. Now, to calculate b, we could apply the function to the point (1,56). We know that[tex]56 = 35\times b^1,[/tex]which simplifies to 56 = 35b.  Solving for b gives us b ≈ 1.6 (approximation).

So, the exponential growth function that corresponds to these ordered pairs is[tex]y = 35\times 1.6^x.[/tex]

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Find the number if 5.5% of it is 17% of 11

Answers

Answer:

The number is 34.

Step-by-step explanation:

Let the number be x.

As per the statement: if 5.5% of it is 17% of 11.

⇒ 5.5% of x is 17% of 11.

"5.5%of x" means [tex]\frac{5.5}{100} \times x[/tex]

"17% of 11" means [tex]\frac{17}{100} \times 11[/tex]

then;

[tex]\frac{5.5x}{100} = \frac{17 \times 11}{100}[/tex]

Multiply by 100 on both sides, we get;

[tex]\frac{5.5x}{100} \times 100 = \frac{17 \times 11}{100} \times 100[/tex]

Simplify:

[tex]5.5x = 187[/tex]

Divide both sides by 5.5 , we get;

[tex]\frac{5.5x}{5.5} = \frac{187}{5.5}[/tex]

Simplify:

x = 34

Therefore, the number is 34.


Answer:

Step-by-step explanation:

First we must find 17% of 11.

0.17 x 11 = 1.87

So we know 5.5% of "a number" or "x" is equal to 1.87

0.055x = 1.87

x = 1.87/0.055

x = 34

14. 30/r
r = 5
Need help!?

Answers

Answer:

The expression = 6

Step-by-step explanation:

The expression is 30/r

30/r

Substitute r=5

30/5

6

3
5

of students at a school are boys. If there are 2420 students at the school, how many are girls?

Answers

Question


3/5 of students at a school are boys. If there are 2420 students at the school, how many are girls?


Answer:

968 girls

Step-by-step explanation:

if 3/5 are boys 2/5 are girls (5 - 3/5 = 2/5)

so 2420 * 2/5 = 968 girls



Answer: 968 girls in the school.

Step-by-step explanation:

you just multiply 3/5 by 2420 and you get how many boys are in  the school, 1452. then subtract 2420- 1452 and get 968. Hope this helped :)

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