Which one would the equation be?

Which One Would The Equation Be?

Answers

Answer 1

Answer:

a. [tex] y = \frac{2}{5}x - 6 [/tex]

Step-by-step explanation:

The slope-intercept form of equation of a line is given as [tex] y = mx + b [/tex]. Where,

m = slope

b = y-intercept.

Rewrite the equations, [tex] 2x - 5y = 12 [/tex] and [tex] 4y + 24 = 5x [/tex], in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.

[tex] 2x - 5y = 12 [/tex]

[tex] 2x - 12 = 5y [/tex]

Divide both sides by 5

[tex] \frac{2x - 12}{5} = \frac{5y}{5} [/tex]

[tex] \frac{2x}{5} - \frac{12}{5} = y [/tex]

Rewrite

[tex] y = \frac{2x}{5} - \frac{12}{5} [/tex]

The slope of [tex] 2x - 5y = 12 [/tex] is ⅖.

[tex] 4y + 24 = 5x [/tex]

[tex] 4y = 5x - 24 [/tex] (subtraction property of equality)

Divide both sides by 4

[tex] \frac{4y}{4} = \frac{5x - 24}{4} [/tex]

[tex] y = \frac{5x}{4} - \frac{24}{4} [/tex]

[tex] y = \frac{5x}{4} - 6 [/tex]

The y-intercet of [tex] 4y + 24 = 5x [/tex] is -6

Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:

[tex] y = mx + b [/tex]

Plug in the values of m and b

[tex] y = \frac{2}{5}x + (-6) [/tex]

[tex] y = \frac{2}{5}x - 6 [/tex]


Related Questions

The diameter of circle is 4cm. Determine the are of the circle.

Answers

Answer: Area of circle = 12.57cm² (I am assuming you mean area here)

Step-by-step explanation:

Area = πr²

radius = diameter ÷ 2

r = 4 ÷ 2

r = 2

π = 3.14159265359

shorten π to 3.14 for future reference. I just used the π button a a calculator for this answer though.

A = π × 2

A = 12.57

According to an​ airline, flights on a certain route are on time ​% of the time. Suppose flights are randomly selected and the number of​ on-time flights is recorded. ​(a) Explain why this is a binomial experiment. ​(b) Find and interpret the probability that exactly flights are on time. ​(c) Find and interpret the probability that fewer than flights are on time. ​(d) Find and interpret the probability that at least flights are on time. ​(e) Find and interpret the probability that between and ​flights, inclusive, are on time.

Answers

Answer:

(a) Explained below.

(b) 0.0294

(c) 0.0173

(d) 0.09827

(e) 0.0452

Step-by-step explanation:

The complete question is:

According to an​ airline, flights on a certain route are on time 80​% of the time. Suppose 25 flights are randomly selected and the number of​ on-time flights is recorded.

​(a) Explain why this is a binomial experiment.

​(b) Find and interpret the probability that exactly 16 flights are on time. ​

(c) Find and interpret the probability that fewer than 16 flights are on time.

​(d) Find and interpret the probability that at least 16 flights are on time.

​(e) Find and interpret the probability that between 14 and ​16 flights, inclusive, are on time.

Solution:

(a)

Let the random variable X be defined as the number of​ on-time flights.

A Binomial experiment has the following properties:

There are a fixed number of trials (n). Each trial are independent of the others. Each trial has only two outcomes: Success and Failure Each trial has the same probability of success (p).

If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.

All of these properties can be confirmed for the random variable X.

Thus, this is a binomial experiment.

(b)

Compute the probability that exactly 16 flights are on time as follows:

[tex]P(X=16)={25\choose 16}(0.80)^{16}(0.20)^{25-16}[/tex]

        [tex]=2042975\times 0.0281475\times 0.000000512\\=0.029442375072\\\approx 0.0294[/tex]

Thus, the probability that exactly 16 flights are on time is 0.0294.

(c)

Compute the probability that fewer than 16 flights are on time as follows:

[tex]P(X<16)=\sum\limits^{15}_{x=0}{{25\choose x}(0.80)^{x}(0.20)^{25-x}}[/tex]

                 [tex]=0.0000+0.0000+....+0.011777\\=0.0173[/tex]

Thus, the probability that fewer than 16 flights are on time is 0.0173.

(d)

Compute the probability that at least 16 flights are on time as follows:

[tex]P(X\geq 16)=1-P(X<16)[/tex]

                 [tex]=1-0.0173\\=0.9827[/tex]

(e)

Compute the probability that between 14 and 16 ​flights, inclusive, are on time as follows:

[tex]P(14\leq X\leq 16)=\sum\limits^{16}_{x=14}{{25\choose x}(0.80)^{x}(0.20)^{25-x}}[/tex]

                          [tex]=0.004+0.0118+0.0294\\=0.0452[/tex]

Thus, the probability that between 14 and 16 ​flights, inclusive, are on time is 0.0452.

f(n)=3+4)2 find the 4 terms of the sequence

Answers

Answer:25 + 24 + 49 :)

Step-by-step explanation:

Hope this helped :)

What is the product of (–0.9)(–2.4)?
–3.3
–2.16
2.16
3.3

Answers

2.16

Two negatives multiplied together make a positive, so it’s simply .9 x 2.4 which is 2.16

Answer:

-2.16

Step-by-step explanation: for all you edge people

Turn 4.131313 into a mixed fraction

Answers

Answer:

   1313

4  -------

  10000

Step-by-step explanation:

just imagine if they were a fraction

stwyrthegfcvidfghhuw cgy5wd

what is the slope of the table shown I NEED THIS QUICK ​

Answers

Answer:

5

Step-by-step explanation:

Slope is defined as rise over run, so it is (26-11)/(5-2) = 15/3 = 5

Answer:

slope is 5

Step-by-step explanation:

slope formula says m= y2-y1/x2-x1

m=26-11/5-2

m=15/3

m=5

what is the square root of 49

Answers

Answer:

2

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Write the number in exponential form with the base of 7

[tex]\sqrt{7^{2} }[/tex]

Reduce the index of the radical and exponent with 2

7

Solution

7

Subtract using the number line.

​ −35−(−25) ​

Select the location on the number line to plot the difference.

Answers

Answer:

I'm assuming that the answer is -10

Step-by-step explanation:

Because you are being asked to subtract a negative, the two negative signs cancel each other out to make the equation -35+25. So the answer is -10.

Answer:

-1/5 im right hope all of you have a wonderful day

Step-by-step explanation:

Marcus hiked 4 3/2 miles. John hiked 3 1/3 miles. How much further did Marcus hike?

Answers

Answer:

2.16666666667

plz give me brainliest

A long year-end status report for work is 162 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.84 each

Answers

Answer:

23.04

Step-by-step explanation:

A car can travel 38 miles on each gallon of gasoline. At that rate, how many gallons of gasoline will it take to travel 190 miles?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 Gallons of gasoline

Step-by-step explanation:

This is true because 190÷38 is five. If you want to check the work 38×5 is 190.

I also got it right on edg. 2020

Write the following repeating decimal using a bar over the repeated digit(s).
0.355555555...

Answers

Answer:

just write 0.35 and write a line like this "---" above the five since it's the number repeating.

Step-by-step explanation:

what's the answer? please help

Answers

Answer:

the slope is -7/3

Step-by-step explanation:

8-15/10-7

-7/3

Please someone help me with this
(You have to add both answers)

Answers

the first one is x=2 and the second one is x= 3/4

Please help
A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

Answers

Given:

The function is

[tex]r(x)=0.05(x^2+1)(x-6)[/tex]

where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

To find:

Number of complex and real zeros.

Time intervals for which the population increased and population deceased.

Solution:

We have,

[tex]r(x)=0.05(x^2+1)(x-6)[/tex]

[tex]r(x)=0.05(x^3+x-6x^2-6)[/tex]

Here, degree of function x is 3. It means, the given function has 3 zeros.

From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.

So, the given function r(x) has only one real root and other two real roots are complex.

Therefore, function r has 2 complex zeros and one real zero.

Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.

Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.

Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.

Answer:

Function r has two complex zeros and one real zero. Based on the instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.

Step-by-step explanation: I got it right

how many days are in 2 years + 18 months?
please help!!!!

Answers

Answer:

1277

Step-by-step explanation:

Answer:

1278.04

Step-by-step explanation:

Why? In 1 year there are approximately 365.24 days, but in 1 month there are approx 30.42 days.

So 365.24 × 2 =                   730.48

And 30.42 × 18 =                 547.56   (+

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

                                           1278.04

A box contains 180 wooden cubes. You open the top of the box and count 9 cubes across the front and 4 cubes along a side. How many layers of wooden cubes are in the box?

Answers

Answer:

5

Step-by-step explanation:

9 x 4 = 36

180/36 = 5

Cual es El opuesto de 0?

Answers

Answer: no hay opuesto de cero, cero es el último número de positivos y negativos


Solve for z.
I need help please

Answers

Answer:

Z is 52 degrees.

Step-by-step explanation:

52 plus 38 is 90

Answer:

52°

Step-by-step explanation:

You can say this a 'cardesian plane', where adjacent quadrants are at right angle to each other. So,

z + 38 = 90°

z = 90° - 38° = 52°

Divide.

4 1/5 divided by 2/3

Express your answer as a mixed number in simplest form.

Enter your answer in the box.

Answers

Answer:

63/10 or 6 3/10

Step-by-step explanation:

What is the greatest common divisor of 6, 9, and 12? *

Answers

3 is the common divisor.

A clothing company wants to ship more items per box. The length, width and height of the new boxes are all twice as long as those of the old
boxes
How does the volume of a new box compare to the volume of an old box?
O A The volume of the new box ls 2 times the volume of the old box.
OB The volume of the new box is 4 times the volume of the old box.
O c The volume of the new box is 6 times the volume of the old box
OD. The volume of the new box is 8 times the volume of the old box.

Answers

Answer:

I believe the answer is A

Step-by-step explanation:

I say it's A because the volume is double like it told us. Compared to the new box it's twice as long as the old boxes.

I hope this helps! ~~~~

The volume of the new box is 8 times the volume of the old box.

The correct answer is option (D).

Volume of rectangular box:

The volume of a rectangular box with length L, width W and height H is,

V = L × W × H

Given: -

Let [tex]l,w,h[/tex] represents the length, width and height of the old rectangular boxes.

Let [tex]V_o[/tex] represents the volume of the old rectangular box.

⇒ [tex]V_o=l\times w \times h[/tex]

The length, width and height of the new boxes are all twice as long as those of the old boxes.

This means the length, width and height of the new boxes would be [tex]2l,2w,2h[/tex].

Let [tex]V_n[/tex] represents the volume of the new rectangular box.

So, the volume of the new rectangular box would be,

⇒ [tex]V_n=2l \times 2w \times 2h[/tex]

⇒ [tex]V_n = 8 \times l \times w \times h[/tex]

⇒ [tex]V_n=8 \times V_o[/tex]

This means, the volume of the new box is 8 times the volume of the old box.

Hence, option (D) is the correct answer.

Learn more about rectangular prism here:

https://brainly.com/question/21308574

#SPJ2

I have 3 times as many nickels as quarters. How many quarters do I have if I have
a total of $2.40​

Answers

Answer:

18 Nickels, 6 Quarters

Step-by-step explanation:

For this problem, let's build a system of equations to find the number of nickels and dimes you have.  Let N represent the number of nickels and Q represent the number of quarters you have.

The first equation, you have 3 times as many nickels as quarters:

N = 3Q

The second equation, you have a total of $2.40.  Given we know nickels are $0.05 and quarters are $0.25:

0.05N + 0.25Q = 2.40

Now, let's use the two equations to find the number nickels and quarters you have.

N = 3Q

0.05N + 0.25Q = 2.40

0.05(3Q) + 0.25Q = 2.40

0.15Q + 0.25Q = 2.40

0.4Q = 2.40

Q = 6

Now, let's plug the value back into the equation:

N = 3Q

N = 3(6)

N = 18

And we can verify these values with the second equation:

0.05N + 0.25Q = 2.40

0.05(18) + 0.25(6) ?= 2.40

0.90 + 1.50 ?= 2.40

2.40 == 2.40

Therefore, we have found and verified the amount of Nickels and Quarters you have.

Cheers.

Please help me. I'm honestly really confused. I need the answers as soon as possible!

Answers

Answer:

which class can you say then I can tell answer

round 75. 9913 to the nearest tenth, hundredth, thousandth

Answers

75.99 (tenths)
75.991 (hundredths)
75.9913 (thousandths)

Find the value of x in the following ratio 3:15=x:30
b) x :9 =4=36​

Answers

this doesn’t make any sense?

What percent of the employees earn more than $400 per week?​

Answers

Answer: 26%

Step-by-step explanation:

Only 13 out of the 50 make more than 400$ a week. So it’s 13/50=26%

Answer:

26%

Step-by-step explanation:

find the total

19+18+8+5=50

find the ppl who earn >400

last 2 columns

8+5=13

find the percent

13/50=26/100

=26%

help please this is timed

Answers

Answer:

$1.25x+$7=$43.25

Step-by-step explanation:

Ms. Garcia is an electrician and has a length of wire that is 32.7 meters long. She has another length of wire that is 15.33 meters long. How much longer is the one wire than the other? Solve this problem any way you choose.

Answers

Answer:

Ans =17.37

32.7 -15.33=17.37

Find the lcm of 2,3,7 and tell me how u got ur answer
if its CORRECT with ur reasoning ill give brainlest

Answers

Answer:

42

Step-by-step explanation:

Other Questions
Last math question :) please help i have 20 minutes A neutral atom of nitrogen has electrons in energy level(s):Select one:O a. 1 onlyO b. 2 onlyO c. 1 and 2O d. 1, 2, and 3 Suppose you are purchasing something online on the Internet. At the website, you get a 10% discount if you are a member. Additionally, you are also getting a discount of 5% on the item because its Father's Day. Write a function that takes as input the cost of the item that you are purchasing and a Boolean variable indicating whether you are a member (or not), applies the discounts appropriately, and returns the final discounted value of the item. Note: The cost of the item need not be an integer 7. Give three examples of the responsibilities of an absolute monarch. Also state why each one is important to a society. the energy of motion is called describe a coastline The perimeter of a rectangle is 600 yards. What are the dimensions of the rectangle if the length is 30 yards more than the width? What does it take to become a boxer? In terms of the cosecant of a positive acute angle, what is the expression for csc 240? 359 divided by 19 can you tell me please Is the ordered pair (8, 7) a solution to the equation 3x + 10 = 2y? Show your work. How do scientists communicate the proven results of their experiments?A. They inform only the scientists they work with directly.B. They write a blog post about the experiment.C. They inform journalists so that it is distributed in the media.D. They publish the results in a scientific journal. Rico bicycles at an average speed of 13.5 miles per hour. What distance will Rico bicycle in 3.5 hours? Rico will bicycle 13.5 3.5 = 47.25 miles in 3.5 hours. Use estimation to show that the above result is reasonable. Part 1 out of 2 Round 13.5 to and 3.5 to . BRAINLIEST ANSWER! please help an investment in equipment helps a business increase productivity by what was the first country to explore west africa When do you think the world's population will stop growing? Answer in a paragraph please (: PLEASE HELP!!!Chief Justice John Marshall is responsible for __________.A.taxing the statesB.overturning the Treaty of ParisC.establishing the role of the Supreme Court in judicial reviewD.writing the supremacy clause Help!!! This has to be done by 8am!!!