Identify the system of equations given in the graph below.

Identify The System Of Equations Given In The Graph Below.

Answers

Answer 1

Hi there!

[tex]\large\boxed{\left \{ {{y=3x + 1} \atop {y = 3x - 1}} \right}[/tex]

From the graph, we can see that both lines are parallel. We can determine the slope of one line to find the slope of the other.

Use the slope formula to determine the slope of a line. In this case, I am using the blue line as a reference:

[tex]\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 }[/tex]

[tex]m = \frac{ 3 - 1 } { 1 - 0 } = 3[/tex]

The slope of both lines is 3.

Let's find the equation of the blue line by finding its y-intercept to solve for the "b" value in the equation y= mx + b:

y-intercept is when x = 0, or at (0, 1). Therefore:

Blue line equation: y = 3x + 1

The red line intersects the y-axis at (0, -1), therefore:

Red line equation: y = 3x - 1

The systems of equations is:

y = 3x + 1

y = 3x - 1

Answer 2

Answer:

y = 2x + 1

y= 2x - 1

Step-by-step explanation:

I just took the test and got it correct :)


Related Questions

amandas piggy bank contains 96 coins made up of nickels and quarters. how many nickels and quarters does she have in the piggy bank if the worth of all the coins is $12.00?

Answers

Answer:

36 quarters and 60 nickels

Step-by-step explanation:

36*25=900

60*5=300

300+900=1200

At Best Buy, you buy a 55-inch TV for $499.99. You include the 2-year protection plan for $69.99. Tax in Indiana is 7%. How much tax will you pay? What is your final price?

Answers

Answer:

$609.8786

Step-by-step explanation:

Given that :

Cost of TV = $499.99

Protection plan = $69.99

Sales tax = 7%

Sales tax to pay :

Tax % * ( total cost of purchase)

0.07 * (499.99 + 69.99)

0.07 * 569.98

= $39.8986

Total price:

Cost of TV + cost of protection plan + sales tax

499.99 + 69.99 + 39.8986

= $609.8786

If triangle XYZ is congruent to triangle RST find RS

Answers

Answer:

If two triangles Δ RST and Δ XYZ are similar, then corresponding angles are equal and their corresponding sides are proportional.

So here ∠R=∠X, ∠S=∠T and ∠T=∠Z

Ada bought 90 feet of for ​$20.70. She needs 30 more feet. If the unit price is the​ same, how much will she pay for the extra 30 feet of ​?

Answers

Answer:

Step-by-step explanation:

20.70/90= 0.23 per foot

30*.23= 6.90

It'll cost $6.90 for 30 more feet.

Which sequences are arithmetic? Check all that apply.
0, 8, 16, 24, ellipsis
7, 12, 17, 22, ellipsis
6, 12, 24, 48, ellipsis
8, 14, 20, 26, ellipsis
11, 18, 23, 30, ellipsis
12, 17, 22, 29, ellipsis
15, 30, 60, 120, ellipsis

Answers

Answer:

7,12,17,22, ellipsis

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long

Answers

Given :

Height of the ramp, h = 83 cm.

Length of ramp, L = 158 cm.

To Find :

Length of the base of the ramp.

Solution :

Let length of the base is l.

By Pythagoras theorem :

L² = h² + l²

[tex]l=\sqrt{L^2-h^2}\\\\l=\sqrt{158^2-83^2}\\\\l=134.44\ cm[/tex]

Therefore, length of the base is 134.44 cm.

Hence, this is the required solution.

Teresa bought 8 packages of paper. Each package contained 10 pads of paper, and each pad of paper cost $2. How many pads of paper did Teresa buy? How much did Teresa spend?

A.
80 pads of paper; $160

B.
18 pads of paper; $20

C.
18 pads of paper; $36

D.
80 pads of paper; $36

1 / 10

Answers

Erlaoschyu


Step by step

12) Write an equation for a line with a slope of 4 and a y-intercept of -3. Us
no spaces in your equation.

Answers

Answer:

Y=-3x+4

Step-by-step explanation:

Plug it into the y=mx+b formula.

Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn. He has sold $36 worth of popcorn today. Which inequality can be used to find the number of bags of popcorn, p, Jeff still needs to sell today to make a profit?

Answers

Answer:

The inequality tha can be used to find how many more bags of popcorn Jeff still needs to sell today to make a profit is

x - 12 ≥ 40.

Step-by-step explanation:

Let us represent the number of bags of popcorn as p

Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn.

We have the equation:

$3 × p ≥ $120

3p ≥ $120

p ≥ 120/3

p ≥ 40 bags

He must sell at least 40 bags to make a profit

He has sold $36 worth of popcorn today.

1 bag is $3

Hence, he has sold

$36/$3 = 12 bags of popcorn

Which inequality can be used to find Jeff still needs to sell today to make a profit?

This equality is given as:

x - 12 bags ≥ 40 bags

x - 12 ≥ 40

x ≥40 - 12

x ≥ 28 bags

She still need to sell 28 more bags of popcorn.

Are there any rules when solving compound inequalities?

Answers

Answer:

Yes bro

Step-by-step explanation:

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

Somebody answer this for me

Answers

your right its that one

Answer:

its d and e

Step-by-step explanation:

27. Is the following relation a function?
D YES
NO
28.
28. Using the previous graph, what is the domain of this relation?
A. [-2,4]
B. (-00,00)
C. (-5,1]
D. [0,00)

Answers

Answer:

No

Step-by-step explanation:

27 No

28.A

you are to read it maximum and minimum point on the vertical axis

Hmm I’m not sure I understand

A local Latin restaurant specializes in Peruvian, Cuban, and Tex-Mex cuisines in their recipes. Lomo Saltado, “Beef Stir-fry,” is considered a family meal. The restaurant uses the following function to determine the total cost for customers who choose to have the Lomo Saltado meals delivered, where x represents the number of Lomo Saltado meals purchased. C(x) = 12.09x + 5 What does 12.09 represent in terms of the cost?

Answers

Answer:

The cost per meal not including the $5

Step-by-step explanation:

or whatever is says something like that

Answer:

55

Step-by-step explanation:

its eay you just

True or False. (1 point) Is the expression 5x − 2(2x − 4) is equivalent to the expression 8 − x?

Answers

Answer:

No it wouldn't, x+8

Step-by-step explanation:

5x-2(2x-4):distributive property

5x-4x+8:combining like terms

x+8:being everything down

Answer:

False

Step-by-step explanation:

5x-2(2x-4): foil

= [tex]10x^{2} -20x-4x+8\\[/tex]

=[tex]10x^{2} -24x+8\neq 8-x[/tex]

the distance from mars to the sun

Answers

Answer: 135.98 million mi


Explanation: From an average distance of 142 million miles (228 million kilometers), Mars is 1.5 astronomical units away from the Sun. One astronomical unit (abbreviated as AU), is the distance from the Sun to Earth.

whats 500000 x 700=



























































heyyyyy

Answers

Answer:

PERIOD

Step-by-step explanation:

The Chen family bought a small business. The equation yˆ=4.2x−12.9 models the business's cash value, in thousands of dollars, x years after they bought the business.

Which statement best explains what the y-intercept of the equation means?

After the Chen family bought the business, the business lost $12,900 in 4.2 months.
The business was $12,900 in debt when the Chen family bought it.
The Chen family paid $12,900 for the business.
The business lost $12,900 every year after the Chen family bought it.

Answers

Answer:hey I was wondering if you ever got the answer for this ?

Step-by-step explanation:

Answer:

After the Chen family bought the business, the business lost $12,900 in 4.2 months.

Step-by-step explanation:

just did it :)

Find the X and Y intercepts and graph the line. Your X and Y must be written as a point. show work plz asap help

Answers

Answer:

14 X+2y=6

0+2y=6

2y=6

2y÷2=6÷2

y=3

x+2y=6

x+2(0)=6

x+0=6

X=6

(13) The x and y intercept of the line x + y = 1 are 1 and 1 respectively.

(14) The x and y intercept of the line x + 2y = 6 are 6 and 3 respectively.

What is the slope intercept form of an equation ?

When any equation is represented in the y = mx +c form, it is called the slope intercept from of the equation.

Here m is slope and c is constant.

(13)

The given equation of line,

x + y = 1

x intercept of the line is at y = 0,

x + 0 = 1

x = 1

y intercept of the line is at x = 0,

0 + y = 1

y = 1

The x and y intercept of the line x + y = 1 are 1 and 1 respectively.

(14)

The given equation of line,

x + 2y = 6

x intercept of the line is at y = 0,

x + 0 = 6

x = 6

y intercept of the line is at x = 0,

0 + 2y = 6

y = 3

The x and y intercept of the line x + 2y = 6 are 6 and 3 respectively.

To know more about Slope intercept form :

https://brainly.com/question/9682526

#SPJ2

pls answer asap
thx................

Answers

Answer:

3. 1mL

Step-by-step explanation:

There are 1000mL in a Liter so if you divide a liter in 1000 parts one part is 1mL

Answer is 1 ml hope this helps

Can someone please answer question 4 for me.

Answers

Answer:

B figure 1 and 3

Step-by-step explanation:

they are the same identical thing but different sizes

Please answer, I’m struggling allot

Answers

Answer: -3

Step-by-step explanation:

y2-y1/x2-x1

(1,0)

(0,3)

3-0/0-1 = -3/1

A car travels at a distance of 450 miles in 9 hours. Part a A) what is the average speed of the car.Part b if the car continues at this rate how far will it travel in 5 hours .part c if the car continues at the rate how long will it take to travel 1000 miles

Answers

Part A. Average speed is the miles divided by the hours so its 50 mph.

Part B. 20 hours, take the average speed and divide it by 1000.

I REALLY NEED HELP PLEASEEE
A shark is swimming 60 feet below the surface of
the ocean. There is a fish that is 25 feet deeper
in the water. Use the expression (-60) + (-25) to
describe the fish’s location relative to the surface
of the ocean

Answers

Answer:

- 85 ft

Step-by-step explanation:

-60 - (-25) =-85

Out of 200 people eating at a diner, 70% ordered
sandwiches. How many people ordered
sandwiches?

Answers

Answer:

140 people

Step-by-step explanation:

The number is 140 people. 140 people ordered sandwiches.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Out of 200 people eating at a diner,

70% ordered sandwiches.

To find the number of sandwiches ordered:

Use percentage formula,

let n be the number of sandwiches ordered.

So, n = 70 x 200 / 100

n = 14000/100

n = 140

Therefore, 140 people ordered sandwiches.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

Oscar is offered jobs at two different dog-walking companies. At company A he would earn $50 a day, plus $6 for each dog walk. At Company B, he would earn $20 a day, plus $9 for each dog walk. How many dogs would Oscar have to walk to earn the same amount at both companies in a day? How much would he earn for walking that number of dogs? *

Answers

Answer:

he should walk 4 dogs in order to earn same amount

What do the symbols on the lines between LM and MN mean?

Answers

This is the best I can do since you provided no picture

Which expression is equivalent to ( 2x^4 y )^3 ?
A. 2x^7 y^4
B. 2x^12 y^3
C. 8x^7 y^4
D. 8x^12 y^3
Awnser B is already ruled out

Answers

Answer:

The answer is D.

Step-by-step explanation:

hope that helps

(2x⁴y)³

=8x¹²y³

whats the nearest thousandth of 2.8151

Answers

Answer:

To round off a number to the nearest 1000, check the hundredth digit of the number. Round off the number to the previous thousand if the hundredth digit is 0, 1, 2, 3 and 4. Round off the number to the next thousand if the thousandth digit is 5, 6, 7, 8 and 9. Examples: Consider the numbers 6567 and 6281.

2.815 is the nearest thousandths

Divide 2 3/4 divided by 3

Answers

Answer:

11/12

Step-by-step explanation:

Convert to improper fractions : 2 3/4 = 11/4

Divide denominator by 3: 11/4 ÷ 3 = 11/12

11/12 hope it helps

what the best why to slove for x or y is it by mutilplying or divide

Answers

Answer:

based on the problem, if you are trying to get x or y by itself to solve, you need to subtract everything except your x or y (whatever one your solving for) and then if needed divide the number infront of your x or y (whatever your solving for) to both sides

Step-by-step explanation:

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