what is the equation of a line that has y-intercept of -3 and is parallel to the line 3x=4+5y

Answers

Answer 1

The equation of a line with slope m and y-intercept b in slope-intercept form is:

\(y=mx+b\)

On the other hand, two lines are parallel if they have the same slope.

First, find the slope of the given line by isolating y from the equation.

Next, write down the equation of a line with y-intercept -3 and with the same slope as the given line to find the equation of a line that satisfies the described characteristics.

The equation of the given line is 3x=4+5y. Isolate y:

\(\begin{gathered} 3x=4+5y \\ \Rightarrow3x-4=5y \\ \Rightarrow\frac{3x-4}{5}=y \\ \Rightarrow\frac{3}{5}x-\frac{4}{5}=y \\ \therefore y=\frac{3}{5}x-\frac{4}{5} \end{gathered}\)

Since the coefficient of x is 3/5, then, the value of the slope of the given line is 3/5.

Replace m=3/5 and b=-3 into the general equation of a line in slope-intercept form to find the equation of a line that has y-intercept of -3 and is parall


Related Questions

Edouard Manet's Luncheon on the Grass was shown in the ___ after it was rejected for the annual salon.



A. World's Fair

B. Impressionist exhibition

C. salon d'automne

D. Osalon des refuses

Answers

Edouard Manet's Luncheon on the Grass was shown in the Salon des Refuses after it was rejected for the annual salon.

Option D is the correct answer.

We have,

Edouard Manet's painting "Luncheon on the Grass" was first rejected by the Paris Salon in 1863, as it was considered scandalous due to the nudity of the female figure in the painting.

In response to this rejection,

Emperor Napoleon III ordered an exhibition to be held for all the rejected paintings, which was known as the Salon des Refusés (Salon of the Refused).

Thus,

Edouard Manet's Luncheon on the Grass was shown in the Salon des Refuses after it was rejected for the annual salon.

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Sayid is buying a frame to go around the perimeter of a painting his daughter made. Each inch of framing costs ​$0.40. What is the total cost of the framing for the​ painting? . What is the first step you need to​ do? What is the answer to the first​ step? Write an equation to show your work. Choose the correct first step below.

Answers

Answer:

The total cost of the framing for the painting is $0.40·P

Step-by-step explanation:

The first step to be done is to measure the length of the perimeter of the painting

Whereby the perimeter of the painting is p inches long, then the total cost of the framing will be found to be as follows

Total cost of framing = Cost per inch of framing × Perimeter of painting

∴ Total cost of framing = $0.40 × p

The total cost of the framing for the painting = $0.40·P.

Jack had $12,100 in medical expenses. His insurance covered 80% of the expenses. The IRS allows deductions of medical and dental expenses of any amount exceeding 7.5% of the adjusted taxpayer’s gross income. If Jack’s adjusted gross income last year was $30,050.00, how much is Jack allowed to deduct?

Answers

Answer:

he deduct the amount of the total UN-reimbursed allowable in (Blank) Year

Step-by-step explanation:

I think this is right but i.dk he (AGI) so its undetermined

please help and answer ASAP please will mark Brainlest

What is the value of x?

Enter your answer in the box.

x =
°

please help and answer ASAP please will mark BrainlestWhat is the value of x?Enter your answer in the

Answers

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

What is the volume of prism shown below 8cm 10cm 12 cm 16 cm

Answers

This rectangular prism with a height of 1 and one-fourth centimeters would have a volume of 10 cubic centimeters..

How to calculate the volume of a rectangular prism?A cuboid is a hexahedron, a solid with six faces, in geometry. It has quadrilateral faces. Cuboid translates as "like a cube." A cuboid is comparable to a cube in that a cuboid can become a cube by varying the angles between faces or the lengths of the edges. A rectangular prism has six faces, including rectangular bases, and is a three-dimensional solid structure. Rectangular prisms include cuboids as well. A rectangular prism and a cuboid have the same cross-section.

Mathematically, the volume of a rectangular prism should be calculated by using this formula:

V = L × W × H

Where:

L is the width.

H is the height.

W is the width.

Substituting the given parameters into the formula, we have;

V = 4 × 2 × 1.25

Volume, V = 10 cubic centimeters.

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Write the equation of the question.

Write the equation of the question.

Answers

The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

According to the question,

We have the following information:

Slope of the line = 1/3

We know that the slope of the line is denoted by m.

y-intercept of the line = -1

We know that the y-intercept is denoted by b.

We have the following equation for the line in slope-intercept form:

y = mx+b

Putting the above values in this equation:

y = x/3-1

Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

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4)Does this shape belong in a group of shapes that have more than one pair of
perpendicular sides?
Use the drop-down menus to explain your answer.
4) Click the arrows to choose an answer from each menu.
The number of right angles in this shape is Choose....
meet at a right angle is Choose....
perpendicular sides in this shape. This shape
shapes that have more than one pair of perpendicular sides.
. Each pair of sides that
▾ of
in a group of
.There Choose...
Choose...

Answers

No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.

Does the shape have > one pair of perpendicular sides?

In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.

A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.

If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.

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How many three-digit counting numbers are not multiples of ​5?

Answers

Answer:There are 720 3-digit numbers that are not multiples of 5.

Step-by-step explanation:

3.Paul owes his father $56.78. He borrows $20 more from his father. Write an expression to represent his debt. Helpp plzzz asap

Answers

$76.78 is paul’s debt to father

Suppose you are flying a kite at the park on a windy day. You notice that the height of the kite, h, is
affected by the speed of the wind, w. You decide to measure the height of the kite at different wind
speeds to determine the relationship between the two variables. After some experimentation, you
measure the height of the kite at three different wind speeds: 10 mph, 15 mph, and 20 mph. You
measure the height of the kite to be 50 feet at 10 mph, 75 feet at 15 mph, and 100 feet at 20 mph.
Determine the equations that relate the height of the kite to the speed of the wind.

Answers

The equation that relates the height of the kite to the speed of the wind is: h = 5w.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

To determine the relationship between the height of the kite and the speed of the wind, we can use linear regression to fit a line to the data points we have measured. The line will take the form y = mx + b, where y is the height of the kite, x is the speed of the wind, m is the slope of the line, and b is the y-intercept.

Using the three data points we have, we can calculate the slope of the line as follows:

m = (y2 - y1) / (x2 - x1)

= (75 - 50) / (15 - 10)

= 25/5

= 5

Therefore, the equation for the line is y = 5x + b. To find the value of b, we can use one of the data points.

For example, using the point (10, 50):

50 = 5(10) + b

b = 0

So the equation that relates the height of the kite to the speed of the wind is:

h = 5w

where h is the height of the kite in feet, and w is the speed of the wind in mph.

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Melanie recorded a tape of her guitar playing. It cost her $2,700 to record the master tape, and it costs $2.50 to make each copy. If she sells the tapes for $10 each, how many tapes must she sell to break even?

Answers

The number of tapes Melanie must sell to break even is 360 tapes.

How to find the number of tapes Melanie must sell to break even?

To find the number of tapes Melanie must sell to break even, we must follow these steps.

We must identify how much she earns for each tape that she sells, for this we must subtract the sale price of each tape, by the value that she pays to make each tape.

10 - 2.5 = 7.5

Now we must divide the total cost of the mother tape by the profit she makes on each tape she sells.

2,700 / 7.5 = 360

Based on the above, we can infer that she must sell 360 tapes to cover the value of the mother tape and each of the tapes that she needs to sell. Next it is checked:

360 * 10 = 3,6003,600 - 2,700 = 900900 / 2.5 = 360

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Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?​

Answers

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

A coin is tossed twice. Let
E
be the event "the first toss shows heads" and
F
the event "the second toss shows heads".
(a) Are the events
E
and
F
independent?
Input Yes or No:
(b) Find the probability of showing heads on both tosses. Write your answer as a reduced fraction.
Answer:

Answers

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

Is 2x - 3 = -7 x + 2 > y a true or false statement?

Answers

For your question the answer is false

Complete the inequality to represent the following: 13 times a number x
is less than or equal to 200.

Answers

The value for the Inequality 13x ≤ 200 is x ≤ 15.384.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

13 times a number x is less than or equal to 200.

Now, Writing the Inequality Mathematically

13x ≤ 200

x ≤ 200 / 13

x ≤ 15.384

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Sherry has read 56 pages of a book. Her teacher wants her to read to at least page 200 by Monday. How many pages must Sherry average reading each of the next six days to satisfy her teacher's request?

Answers

Answer: 43

Step-by-step explanation:

because i know

I need help!!!!!!!!!

I need help!!!!!!!!!

Answers

Answer:

its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2

Answer:

When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.

Multiply b^2 * b^3 = b^5  (add the exponent 2 + 3 = 5)

Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)

Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)

b^2 * b*2 = b^4 (add exponents)

7b * b^2 = 7b^3 (add the exponents 1 + 2)

4 * b^2 = 4b^2

              b^2             +               7b             +        4

b^3           b^5              +           7b^4            +   4b^3

+                                                                                      

b^2           b^4             +           7b^3            + 4b^2

b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2

\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)

b^5 + 8b^4 + 11b^3 + 4b^2

The function, A,B and C represent the amount owed (in dollars)for a loan A,B and C respectively: the input for the functionalist t,the number of years without payment.

1. For each loan, find the average rate of change per year between:
a. the start of the loan and the end of the second year
IM
15.4: Comparing Average Rates of Change
The functions a, b, and e represent the amount owed (in dollars) for Loans A, B, and C
respectively: the input for the functions is t, the number of years without payments.
b. the end of the tenth year and the end of the twelfth year
Illustrative
Mathematics
2. How do the average rates of change for the three loans compare in each of the
two-year intervals?

Answers

a. Find (A(2)-A(0))/2, (B(2)-B(0))/2, and (C(2)-C(0))/2.

b. Find (A(12)-A(10))/2, (B(12)-B(10))/2, and (C(12)-C(10))/2. Compare the rates of change between the three loans for each interval.

a. To find the average rate of change per year between the start of the loan and the end of the second year, we need to calculate the difference in the amount owed after two years and the amount owed at the start of the loan, and then divide by two.

For loan A:

Average rate of change = (A(2) - A(0))/2

For loan B:

Average rate of change = (B(2) - B(0))/2

For loan C:

Average rate of change = (C(2) - C(0))/2

b. To find the average rate of change per year between the end of the tenth year and the end of the twelfth year, we need to calculate the difference in the amount owed at the end of the twelfth year and the amount owed at the end of the tenth year, and then divide by two.

For loan A:

Average rate of change = (A(12) - A(10))/2

For loan B:

Average rate of change = (B(12) - B(10))/2

For loan C:

Average rate of change = (C(12) - C(10))/2

2. We can compare the average rates of change for the three loans in each of the two-year intervals by comparing their values. If the average rate of change is positive, it means the amount owed is increasing, while if it is negative, it means the amount owed is decreasing. We can compare the rates to see which loan is increasing or decreasing at a faster rate in each interval.

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Does this set of ordered pairs represent a function? {(–2, 3), (–1, 3), (0, 2), (1, 4), (5, 5)} A. The relation is a function. Each input value is paired with more than one output value. B. The relation is a function. Each input value is paired with one output value. C. The relation is not a function. Each input value is paired with only one output value. D. The relation is not a function. Each input value is paired with more than one output value.

Answers

The correct option regarding whether the relation is a function is:

B. The relation is a function. Each input value is paired with one output value.

When does a relation represent a function?

A relation represent a function if each value of the input is paired with one value of the output.

In this problem, when the input - output mappings are given by:

{(–2, 3), (–1, 3), (0, 2), (1, 4), (5, 5)}.

Which means that yes, each input value is paired with one output value, hence the relation is a function and option B is correct.

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2. Carlos and Seth are catching bugs. The picture shows the number of bugs that Carlos has and the number of bugs that Seth has.

Answers

where is the picture

What is an equation of a line with slope −2/3 and a y-intercept of −4?

Answers

The answer is y = -2/3x -4

Lauren build a sandbox shaped like an octagon each side of the sandbox is the same like the perimeter of the sandbox is 18.8 ft how long is each side of the sandbox​

Answers

Answer:

   

Step-by-step explanation:

Answer:

6ft

Step-by-step explanation:

oof oof oof oof oof oof oof oof oof oof oof oof oof oof oof

What is x
Full question in image above ^^

What is x Full question in image above ^^

Answers

Answer:  

A)  \(\frac{19}{3}\)

Step-by-step explanation:

hope this helps :)

Answer:

-19/3

3x-1/4 = -5

3/4x + -1/4 = -5

+1/4            +1/4

1x = -19/4

multiply both sides by 4/3

x = -19/3

A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not
round your answers.

Answers

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

What is the speed of the car in kilometers per hour and distance covered after 5 hours?

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

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what is (1/2 + isqrt3/2)^5?

Answers

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)


The table shows the relationship
between a hedgehog's change in weight and the number
of days of hibernation.

a. What number represents the change in weight for each day
of hibernation?

b. What number represents the change in weight in ounces for
the hedgehog in 115 days of hibernation?

Answers

The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 0.03 + 0

Change in weight per day of hibernation = - 0.03Change in weight for 115 days = - 3.45 ounces

A linear model can be created using the data in the table given using a regression calculator or excel ;

The linear model obtained in the form y = m + bx is :

y = - 0.03x + 0y = change in weight x = number of days of hibernation Intercept = 0Slope = -0.03

The slope value of the function gives the change in weight value per number of days of hibernation ; which is -0.03.

Using the regression equation, substitute, the vlaue of x = 115 -0.03(115) + 0 = - 3.45

Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.

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 The table shows the relationshipbetween a hedgehog's change in weight and the numberof days of hibernation.a.
 The table shows the relationshipbetween a hedgehog's change in weight and the numberof days of hibernation.a.

What is the problem for this Problem?

What is the problem for this Problem?

Answers

Answer:

Negative: (-∞,-3] and [1/2,-∞)

Positive: [-3,1/2]

Step-by-step explanation:

The derivative is the instantaneous rate of change at any given point for a function. Given this we know that anywhere the function is in the positive or negative direction, the derivative will also be in the positive or negative direction. We also know that wherever there is a peak or a trough, there will be no slope and it signifies a change in direction. For this function, this means the direction changes at -3 and 1/2.

NO LINKS!!! This problem only
Identify the segment bisector of XY. Then find XY.

Segment Bisector:
XY:

NO LINKS!!! This problem onlyIdentify the segment bisector of XY. Then find XY. Segment Bisector:XY:

Answers

Answer:

Segment Bisector: PQXY: 26 units

-------------------------------

As per given drawing PQ is the segment bisector of XY.

The point W is the midpoint of XY. As per property of midpoint, XW and WY have equal length.

XW = 13 units, hence:

XY = 2*XW = 2*13 = 26 units

Please help!!!!
Thank you!

Please help!!!!Thank you!

Answers

Answer:

option 3, 900 square units

Step-by-step explanation:

area=20*(32+13)

=900

The answer will be 900

in how many ways can the letters of MCHNLRN be arranged

Answers

Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

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Having trouble on this question.Can anyone help? A 24-year-old G4P0 woman presents to your office at seven weeks gestation after two days of bleeding and cramping. She thinks that she miscarried at home and brought in the tissue for pathologic evaluation. What is the karyotype most likely to be found on chromosomal analysis Find the values of x, y, and z in the triangle.(Image attached.) ---------- products are difficult to market because they fail to deliver either immediate satisfaction or long-term benefit. such morally-challenged products would rarely succeed. Name the points. I give you brainiac or whatever. Please give answer with steps, thanks Consider a resistor (R=1000 k) and a capacitor (C=1F) connected in series. This configuration is connected in series to a battery with an emf of 10 V.After the capacitor is charged to its maximum value, the capacitor and resistor are disconnected from the battery and from each other. Then they are connected in parallel, so that the capacitor discharges through the resistor. How long will it take for the voltage across the capacitor to drop to 2.50 V? Decrease 6,000 by 4% and then by 5%. How do quotas benefit domestic producers and cost domestic consumers?. A man doing push-ups pauses in the position shown in (Figure 1) . His mass mm = 73 kgkg .Determine the normal force exerted by the floor on each hand.Determine the normal force exerted by the floor on each foot. What were goals of Hine in publishing this photograph? Choose three answers.to get laborers to work harderto draw attention to the dangers of child laborto show how mature child workers were for their agesto show how young factory workers could beto get Congress to ban child laborto increase the salaries of child laborersto show that children made good factory workers A house is purchased for $150,000 in 2002. The value of the housedepreciates at a rate of 7%. How much is the house worth in 2013? *Growth:Decay:y=a(1+r)*y= a(1-r)*a = initial amount before measuring growth/decayr = growth/decay rate (often a percent)X = number of time intervals that have passed An investment offers a simple interest rate of 3% per year.A lady deposits sh 20000.If she does not withdraw any money, how much will theinvestment be worth after 5 years?Bsh 20015sh 21500sh 22400sh 23000 ella no puede creer que tu (hablar) tantohableshablamoshablemoshablen Question 2 4 pts A client uses a service organization to process its payroll. Which of the following statements is correct regarding the auditor's use of the service auditor's report on internal controls placed in operation? 1. The client's auditor can use the service auditor's report without inquiring about the service auditor's reputation. 2. The client's auditor can use the service auditor's report as audit evidence for the client's internal controls. 3. The service auditor's report should be referred to in the report of the client's auditor. 4. The client's auditor can use the service auditor's report to jointly determine the materiality level. 1 3 04 Which of these best describes the Muslim view of the relationship between religion and politics? A que planificacion corresponde el cuento huyendo a la del estudiante 1 , 2 o 3 ? I am stuck on these last four questions please help if possible. -Solving equations with variables on both sides H20 + C02................... if -12-4(-2x)= 4 then what is x? The constant of proportionality between charge and voltage is the:________. a) Capacitor b) Capacitance c) Farad d) None of the above