solve the system of equations by graphing: -1/3x + y=-1, y=4+1/3x

Answers

Answer 1

[tex]-\frac{1}{3}x[/tex] + y = -1   ⇒   y = [tex]\frac{1}{3}x[/tex] - 1

To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope [tex](\frac{1}{3})[/tex] by counting up 1 and to the right 3 of the y-intercept.  This gives you a second point of (3. 0).  Draw a line through those two coordinates.

Answer: Plot (0, -1) and (3, 0) and draw a line through them.

***************************************************************************************

y = 4 +  [tex]\frac{1}{3}x[/tex]    ⇒   y =  [tex]\frac{1}{3}x[/tex]  + 4

Same as above.  Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).

Answer: Plot (0, 4) and (3, 5) and draw a line through them.

***********************************************************************************

You should end up with two PARALLEL lines.  Since the lines never intersect, there are no solutions to this system of equations.

Answer: No Solution


Related Questions

please help me I don't get this

Answers

No he will be missing 25 cents
It will be no, because he will be missing 25 cents

multiply 4 by p, then double the result

Answers

i think its 2(4p) or 8p

I think it would be 2(4*p)

Harold stores 10656 pounds of grain for his 24 cattle.Each cow eats about 12 pounds of grain each day.how many days would the food supply last?

Answers

Hey there!

If he has 24 cattle that eat 12 pounds of grain every day, then the amount of grain that they eat every day can be represented by the following equation:

p = 24 x 12       Multiply the two together, and the amount eaten each day is 288 pounds.

We can divide 10656 by 288 to figure out how many times 288 will go into 10656, which tells us how many days the supply will last.

10656 ÷ 288 = 37

So this means the food supply will last 37 days.

Hope this helps!

THANKS AND BRINLIEST FOR CORRECT ANSWER! PLEASE HELP!?!?!?

Answers

Answer:

x = 5

Step-by-step explanation:

6x - 2(x + 4) = 12    use distributive property

6x + (-2)(x) + (-2)(4) = 12

6x - 2x - 8 = 12      add 8 to both sides

4x = 20     divide both sides by 4

x = 5

Please answer Correctly for brainly

Answers

D {(1,-4),(-2,-4),(8,3),(10,3)}

A function can't have more than one Y value for any identical X value


A has two -9 X values which have different Y values so cannot be a function

B has two -8 X values with different Y values, so cannot be a function.

C has two 3 X values with different Y values, so cannot be a function.


The answer is D.


After 5 months, the number of subscribers to a newspaper was 5,730. After 7 months, the number of subscribers to the newspaper was 6,022. How many subscriptions will there be after 10 months

Answers

11,460 subscriptions is the answer I believe XD

Marcus tosses a coin and spins a spinner numbered from 1 to 3. What is the probability the coin lands heads up and the spinner lands on 1?

Answers

Answer:

1/6


Step-by-step explanation:


Answer: [tex]\dfrac{1}{6}[/tex]

Step-by-step explanation:

Given statement : Marcus tosses a coin and spins a spinner numbered from 1 to 3.

Let A be the event of getting a head while tossing a coin.

Total faces on coin=2

Then [tex]P(A)=\dfrac{1}{2}[/tex]

Let B be the event of spinner lands on 1.

Total sections on spinner = 3

Then [tex]P(B)=\dfrac{1}{3}[/tex]

Since both events are independent of each other.

Therefore, the probability the coin lands heads up and the spinner lands on 1 = [tex]P(A)\timesP(B)=\dfrac{1}{2}\times\dfrac{1}{3}=\dfrac{1}{6}[/tex]

Hence, the probability the coin lands heads up and the spinner lands on 1 = [tex]\dfrac{1}{6}[/tex]

I dont understand what I need to do

Answers

the equation should be b^2-c^2 = your answer

8/15 64/? What would the value of the ? Be?

Answers

120

for [tex]\frac{8}{15}[/tex] to be equal to [tex]\frac{15}{?}[/tex]

consider the numerators 8 × 8 = 64, the numerator of the second fraction

We must therefore multiply the denominator by 8

15 × 8 = 120

thus [tex]\frac{8}{15}[/tex] = [tex]\frac{64}{120}[/tex]


The orange-and-purple-striped sweaters at a store were not selling, so the store put them on sale for half of the original price. The sweaters still did not sell, so the store reduced the price by an additional $10. The sweaters are now priced at $7.50. Write and solve an equation to find the original price of the sweaters. Explain each step of your solution.

Answers

7.50 + 10 = 17.50, 17.50 X 2 = 35 Original price is $35 dollars

The temperature dropped 30°F in a 6 hour period. What was the mean hourly temperature drop?

Answers

Final answer:

The mean hourly temperature drop is 5°F per hour, calculated by dividing the total temperature drop of 30°F by the total time of 6 hours.

Explanation:

If the temperature dropped 30°F over a period of 6 hours, the mean hourly temperature drop is calculated by dividing the total temperature drop by the total time.

This calculation provides the average rate of temperature change per hour.

To find the mean hourly temperature drop, you use the following steps:

Determine the total temperature change: 30°F.Determine the total time of the change: 6 hours.Divide the total temperature drop by the total time to find the mean hourly drop: Mean Hourly Drop = Total Temperature Drop ÷ Total Time.Perform the calculation: Mean Hourly Drop = 30°F ÷ 6 hours = 5°F per hour.

Therefore, the mean hourly temperature drop is 5°F per hour.

Final answer:

The mean hourly temperature drop when the temperature decreased by 30°F over a 6-hour period is 5°F per hour.

Explanation:

The question asks to determine the mean hourly temperature drop when the temperature decreased by 30°F over a 6-hour period. To find the mean hourly drop, you simply divide the total temperature drop by the total number of hours.

To calculate: Mean hourly drop = Total temperature drop ÷ Number of hours

So in this case, it would be: Mean hourly drop = 30°F ÷ 6 hours = 5°F per hour

Therefore, the mean hourly temperature drop was 5°F.

Me Johnson sells erasers for $3 each he sold 96 erasers last week and he sold 204 erasers this week about how much more money did he make this week

Answers

Mr Johnson made $612 this week because if you multiply the amount of erasers by how much he sold them for. So that makes the answer $612

write a real word problem that involves finding the product of 3/4 and 1/8

Answers

A carpenter wants you to find the surface area of a shelf top. The length of the shelf is 3/4 m and the depth is 1/8 m.
Final answer:

A real-world example involving the product of 3/4 and 1/8 could be calculated through cutting a cake into equal parts. 3/4 of a cake is equivalent to 3 out of 32 pieces when the cake is divided into 1/8th pieces.

Explanation:

Let's imagine a cake. If you slice the cake into 8 equal pieces, a whole cake can be said to represent 1, and each slice represents 1/8 of the cake. Now, suppose that you have 3/4 of another similar cake. You are curious and want to know how many 1/8 pieces would make up your 3/4 cake. We will do this by multiplying 3/4 by 1/8. Follow the step by step process:

Step 1: Multiply the numerators (the top numbers). 3 x 1 = 3.Step 2: Multiply the denominators (the bottom numbers). 4 x 8 = 32.Step 3: Simplify the fraction, if needed. In this case, 3/32 is already simplified.

So, 3/4 of a cake is equal to 3 out of 32 pieces when the cake is cut into 1/8th pieces.

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Explain how to solve the equation and how to check the solution.
40 = 8y

Answers

Answer: 5

Step-by-step explanation:

To solve this equation, you would divide 8 by both sides of the equation to isolate the y variable. this would leave you with the the answer y = 5. To check this solution, you would simply do the reverse operation (multiply 5 by 8). Since multiplying 8×5 = 40, the answer is correct :)

Solving the equation, 40 = 8y, the solution is 5. Substituting y = 5 into the equation to check the solution will give us 40 = 40, which means the solution is correct.

How to Check the Solution to an EquationAfter solving an equation to determine the value of a variable, plug in the value of the variable into the equation. If the solution is correct, the right side will be equal to the left side of the equation.

Given:

40 = 8y

Divide both sides by 8

5 = y

y = 5

Check the Solution: Plug in the value of y into 40 = 8y

40 = 8(5)

40 = 40 (True).

Thus, solving the equation, 40 = 8y, the solution is 5. Substituting y = 5 into the equation to check the solution will give us 40 = 40, which means the solution is correct.

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a chimney sweeper who gets paid $115 for each chimney swept is an example of what type of pay?
A) piece rate
B) salary
C) hourly pay
D) vacation pay

Answers

A) piece rate: compensation based on a worker's quantitativeoutput or production, usually an agreed sum perarticle of work turned out.

Your answer is '''piece rate''', because if it was salary pay He would get paid all in on "check." If it was hourly pay he would get how much money out of how many chimney's he had swept in an hour. And i don't think he would be doing any work on vacation pay, so your answer is piece pay. Hope this helps xoxo

Find the GFC of 35 56 and 63

Answers

THe GCF of 35 and 56 is 7.

35/5 = 7

56/8 = 7

The greatest common factor of 35 ,56 and 63 is 7                      

If the volume of a cube is 12,167 cubic inches, what is the length of a side of the square?

Answers

Answer:

23 in

Step-by-step explanation:

Volume of a Cube: V = a³

Step 1: Define

V = 12,167 in³

a = ?

Step 2: Solve for side length a

Substitute: 12,167 = a³Cube root both sides: 23 = aRewrite: a = 23

Step 3: Check

Plug in a to verify it's a solution.

Substitute: V = (23 in)³Evaluate: V = 12,167 in³

Find the rate of change for the situation. You run 7 miles in one hour and 14 miles in two hours.

Answers

The rate of change is 7 because its 7 miles per hour

(02.06)How many pounds are there in 2 and 3 over 4 tons? (1 ton = 2000 pounds)

Answers

So we have 2 3/4 tons.

2 tons = 4000 pounds.

3/4 = 75%

We know that 50% (or half) of 2000 is 1000.

Since we have 75%, we can take another half of 1000 and add that to our 1000.

1000/2 = 500

1000 + 500 = 1500

2 and 3/4 tons is equal to 5500 tons.

Answer:

answer is drumroll pleaseeeeeeeeeeeeee ok ok sorry the answer is A: 4075

Step-by-step explanation:

it takes kenny 25 minutes to inflate the tires of 55 bicycles how long will it take him to inflate the tires of 121 bicycles

Answers

answer: 121*25=3025 and 3205÷55= 55

it will take him 65.6 minutes to inflate all 121 bicycles

Define mass to show it scientific meaning

Answers

Scientific define mass

In physical science, mass is a measure of the number of atoms in an object combined with the density of those atoms. The mass of an object determines how that object responds to forces such as gravity and friction. The typical unit of measure for mass is kilograms.

Mass is a measurement of how much matter is in an object. Mass is a combination of the total number of atoms, the density of the atoms, and the type of atoms in an object.

A swimmer swam 48 kilometers in d days. What is the value of d the swimmer swam an average of average of 3.2 kilometers daily?

Answers

it should be 15 because 48/3.2 is 15 and that means he swam 48 kilometers in 15 days

2.5 h = [?] minutes.

Answers

150 minutes
1 h=60
60×2=120
.5 h=30
120+30=150

what is the slope of the line on the graph

Answers

Answer:

the slope of the is -1/3

Step-by-step explanation:


Answer: [tex]\dfrac{-1}{3}[/tex]

Step-by-step explanation:

The slope of a line passes through two points (a,b) and (c,d) is given by :-

[tex]m=\dfrac{d-b}{c-a}[/tex]

From the give graph, the line is passing through (0,4) and (6,2).

Then the slope of line will be :-

[tex]m=\dfrac{2-4}{6-0}=\dfrac{-2}{6}=\dfrac{-1}{3}[/tex]

Hence, the slope of the line on the graph [tex]=\dfrac{-1}{3}[/tex]

If Marcia makes $6.75 an hour, how much did she make on the day depicted, she worked from 7:32 am to 3:43 pm?

A. $55.71
B. $50.17
C. $54.32
D. $55.69

Answers

Take note that Marcia makes $6.75 and hour. She also worked from 7:32 am to 3:43 pm which 8 hours in total.

So multiply 8 by 6.75

Which is equal to $54.00 so the closest answer is C. $54.32


Marcia earns $54.32 for working from 7:32 am to 3:43 pm.

What is Equation?

Two or more equations with an equal sign is called as Equation.

Given that,

Marcia makes $6.75 an hour,

Marica worked from 7:32 am to 3:43 pm,

So if we calculate the time it is nearly 8 hours(8 hours 11 minutes)

So multiply 8×6.75=54.

As 54 is nearer to C option $54.32 is the answer.

Hence Marcia earns $54.32 for working from 7:32 am to 3:43 pm.

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How can i determine the unit rate from a graph?

Answers

Unit rate (rise over run) can be determined from a graph by the amount a straight line goes up and across on a graph. The number the line rises on the graph (each point on the axes it crosses) goes over the the amount it goes across on the graph in fractional form.

how many times greater is 70,000,000 ( 70 million) than 7,000,000 (7 million) ?

Answers

70,000,000 is 10 times greater than 7,000,000

The length of a rectangle is 2 more than twice the width. Find the dimensions of the rectangle if the perimeter is 76.

If x represents the width of the rectangle, then which expression represents the perimeter?

2x + 2
4x + 4
6x + 4

Answers

If the length of a rectangle is 2 more than twice the width, the equation for length=2x+2
width=x
perimeter=2l+2w
[2(2x+2)][2(x)]=4x+4+2x=6x+4
Final answer:

The expression that represents the perimeter of a rectangle given the width as x and the length as 2 more than twice the width is 6x + 4.

Explanation:

Given that the length of the rectangle is 2 more than twice the width and using the rule that the perimeter of a rectangle is twice the sum of the width and the length, the correct expression for the perimeter, if x represents the width, is 6x + 4. In detail, if we represent the width as x and the length as 2x + 2 (since it's stated it's 2 more than twice the width), the perimeter would be calculated as 2*(x + 2x + 2), which simplifies to 6x + 4.

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the first term of an arithmetic sequence is 20 and the common difference is 15. Find the fifth term of the sequence

Answers

Solution

The 1st term = 20

Common difference (d) = 15

5th term = a + d(n-1)

= 20 + 15(5- 1)                       [Here n = 5)

= 20 + 15(4)

5th term = 20 + 60 = 80

The answer is 80.

What is -8 • 7 + 33 / -11

Answers

-8 x 7 = -56

33/-11 = -3

-56

+

-03

_______

-59

-59 is your answer!

Hope I helped!

Good Luck!

Hello there!

[tex]-8 * 7 + 33 / -11[/tex]

Explanation:

↓↓↓↓↓↓↓

First you had to multiply by 7.

8*7=56

[tex]\frac{33}{-11}=-3[/tex]

[tex]-56-3[/tex]

Then you subtract by the number.

[tex]-56-3=-59[/tex]

Answer⇒⇒⇒⇒-59

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

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