There is a line that includes the point (4, 1) and has a slope of 1/4. what is its equation in
slope-intercept form?

Answers

Answer 1

Answer:

y=1/4x

Step-by-step explanation:

y=mx+b

m=1/4

so, y=1/4x+b

Now, look at our line's equation so far: . b is what we want, the 1/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,1).

So, why not plug in for x the number 4 and for y the number 1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,1). y=mx+b or 1=1/4 × 4+b, or solving for b: b=1-(1/4)(4). b=0.

y=1/4x+0


Related Questions

What is the area of this kite? A) 20 square meters
B) 36 square meters
C)40 square meters
D) 80 square meters

Answers

Answer:

D

Step-by-step explanation:

Answer:

C. 40 square meters

Step-by-step explanation:

The area for a kite can be figure out with this formula. pq/2. Substitute p for 8 & q for 10.

A = pq/2 {Substitutions made}

A = (8 * 10)/2 {Multiply 8 by 10 to get 80.}

A = 80/2 {Divide 80 by 2 to get 40.}

A = 40 square meters

The area of this kite of 40 square meters, which is C.

Suppose you randomly select a sample of 16 observations from a population with =11 and =2 You find ⎯⎯⎯=9. The sampling error is _____ -2 2 -1 1

Answers

Answer:

- 2

Step-by-step explanation:

Given that :

Population mean, μ = 11

Population standard deviation, σ = 2

Sample mean, xbar = 9

Sample size, n = 16

The sampling error could be explained as the variation or difference which exists in statistical measure of the population and sample as the sample data does not totally or wholly represent the population data. This difference in sample and population mean is called sampling error.

Hence, the sampling error in the above scenario can be obtained thus :

Sampling error = (xbar - μ)

Sampling error = 9 - 11 = - 2

A triangle has two angles that measure 65 degrees and 35 degrees. What is the measurement of the third angle?

Answers

Answer:

THE MEASUREMENT ON THE THIRD ANGLE IS 180!!

Step-by-step explanation:

pls help!!?!?!?!?!?!!?!?!?

Answers

Answer:

The first step is to subtract 4 to both sides. Next we must multiply both sides by 2. The answer is - 20

The model below is shaded to represent an expression. Which expression represnts the model?

Answers

Answer:

stop rushing me aaaaaaaaaahhhhhhhh

Step-by-step explanation:

Use limits to find the area between the curve of y = x and the x-axis for the interval from
x= 1 to x= 3.
Links will be reported.

Answers

Answer:

The area between the curves is 4 square units.

Step-by-step explanation:

We want to find the area bounded by:

y = x

x = 0

in the interval x = 1, x = 3

This is simply equal to the integral of the function f(x) = x between x = 1 and x = 3

Written as:

[tex]\int\limits^3_1 {x} \, dx[/tex]

And the integral of x is equal to x^2/2

Then:

[tex]\int\limits^3_1 {x} \, dx = (\frac{3^2}{2} - \frac{1^2}{2}) = (\frac{9}{2} - \frac{1}{2} ) = \frac{8}{2} = 4[/tex]

The area between the curves is 4 square units.

find the value of x
(7x + 23)
(21x - 11)

Answers

Answer:

=30x

=10x

Step-by-step explanation:

7x + 23 = 30x

21x - 11 = 10x

3RD TIME ASKING PLS HELP

Answers

The angles surrounding the point p are 90 degrees

Then using the angle given, find the missing angles.

JPH = 90

HJP = 49

90+49 = 139

180 - 139 = 41

Therefore JHP = 41

HLP = HJP = 49

HLP = 49

KLP = 72

KLP + HLP = 72 + 49 = 121

Therefore, HLK = 121

LP = JP = 16

JP = 16

HL = HJ = 13

HL = 13

Hope this helps! =)

Identify the terms and coefficients of each expression.

7 + 8p - 2^r g^2- 14h + 10

terms: terms:

coefficients : coefficient:

Answers

:It’s 7095 Hollywood Blvd, #792, Hollywood, CA 90028, United State I got Charlie’s address

Is (10, –6) a solution to this system of equations? ASAP PLS IM IN CLASS

11x + 19y = –4
3x + 8y = –18

Answers

Answer:

Yes.

Step-by-step explanation:

(10, -6) are the values to substitute in for x and y, respectively.

11(10) + 19(-6) = 110 - 114 = - 14

3(10) + 8(-6) = 30 - 48 = -18

itis true or false plz be fast​

Answers

B And c I think I don’t understand the question you’re trying to ask

A television newscaster from a 24-hour news station wants to estimate the number of hours per day its viewers watch
programming on this channel
. The neviscaster randomly selects 100 viewers and asks them how many hours per day
they watch this station. The newscaster constructs an 85% confidence interval for the true mean number of hours
viewers watch this station. Which of the following would decrease the margin of error?

Answers

Answer:

This isn't the best worded question but from what I understand a larger sample size decreases the margin of error. If he would like a more accurate answer a larger sample size of the viewers will give more accurate answers.

Step-by-step explanation:

If an equation has two roots -4 and 7, what could be the
quadratic equation?

Answers

Answer:

f(x) = x^2 - 3x - 28

Step-by-step explanation:

The root -4 corresponds to the factor (x + 4); the root 7 corresponds to (x - 7).  The equation is thus f(x) = (x + 4)(x - 7) = x^2 - 3x - 28, or

f(x) = x^2 - 3x - 28

Please help me. NO LINKS AND DONT USE ME FOR POINTS.

Answers

Answer:

111.2 Fahrenheit for the bottom one and 22.8 Celsius for the top one.

Step-by-step explanation:

Following the formulas for the numbers we can get this

Answer:

22.7 degree c

111.2 degree f

Step-by-step explanation:

A bag with 8 marbles has 8 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is yellow?
Write your answer as a fraction in simplest form.

Answers

Answer: 1

Step-by-step explanation:

8 yellow / 8 total = 8/8 = 1

Jacqueline had $.84 her brother gave her another $.61 write the amount of money Jacqueline now has as a decimal explain

Answers

Answer:

$1.45

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Money already had = $.84

Brother gave = $.61

So, total money Jacqueline has = Money already had + Brother gave money

= $.84 + $.61

= $1.45

Explanation : Total money Jacqueline has will be the total of the sum of the money she already had and the money her brother gave him.

Convert y-1 = 2/5(x+10) into general form. Please explain steps

Answers

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/v/converting-from-slope-intercept-to-standard-form

This can help!

Answer:

y=2/5x+5

Step-by-step explanation:

Distribute 2/5 to the x and 10

At this point, y-1=2/5x+4

Add the 1

y=2/5x+5

Line a passes through points
(-2,1) and (2,9). Which equation
is an equation of a line parallel
to line a?
a) y = -2x + 5
1
b) y=-=x+5
2
1
y = -x-5
c) y=*
d) y = 2x - 5

Answers

Answer:

The answer is A! I got it right on pluto

The populations of two cultures of bacteria, A and B, after x hours are shown below. Which statement is a correct comparison of bacteria A and bacteria B?

Answers

Answer:

(c)

Step-by-step explanation:

Given

See attachment for A and B

Required

Compare A and B

First, we get the initial population of A and B.

The initial population is at when [tex]t =0[/tex]

From the table of bacteria A, we have:

[tex]Initial = 100[/tex] when [tex]t = 0[/tex]

From the graph of bacteria B, we have:

[tex]Initial = 75[/tex] when [tex]t = 0[/tex]

Since the initial of bacteria B is less than that of bacteria A, then (a) is incorrect.

Next, calculate the slope of A and B i.e. the rate

Slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]

Where

y = Number of bacteria

t = time

For bacteria A:

[tex](t_1,y_1) = (0,100)[/tex]

[tex](t_2,y_2) = (2,140)[/tex]

So, the slope is:

[tex]m_A = \frac{140 - 100}{2 - 0}[/tex]

[tex]m_A = \frac{40}{2}[/tex]

[tex]m_A = 20[/tex]

For bacteria B:

[tex](t_1,y_1) = (0,75)[/tex]

[tex](t_2,y_2) = (1,100)[/tex]

So, the slope is:

[tex]m_B = \frac{100- 75}{1 - 0}[/tex]

[tex]m_B = \frac{25}{1 }[/tex]

[tex]m_B = 25[/tex]

Since [tex]m_B > m_A[/tex], then the rate of bacteria B is greater than that of bacteria A.

Hence, (d) cannot be true

Next, we determine the equation of both bacteria

This is calculated using:

[tex]y = m(t - t_1) + y_1[/tex]

For bacteria A, we have:

[tex]y = m_A(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,100)[/tex]

[tex]m_A = 20[/tex]

So:

[tex]y = 20(t - 0) +100[/tex]

[tex]y = 20(t) +100[/tex]

[tex]y = 20t +100[/tex]

For bacteria B, we have:

[tex]y = m_B(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,75)[/tex]

[tex]m_B = 25[/tex]

So:

[tex]y = 25(t - 0) + 75[/tex]

[tex]y = 25(t) + 75[/tex]

[tex]y = 25t + 75[/tex]

At 3 hours, the population of bacteria A is:

[tex]y = 20t +100[/tex]

[tex]y = 20* 3 + 100[/tex]

[tex]y = 60 + 100[/tex]

[tex]y = 160[/tex]

At 3 hours, the population of bacteria B is:

[tex]y = 25t + 75[/tex]

[tex]y=25 * 3 + 75[/tex]

[tex]y=75 + 75[/tex]

[tex]y=150[/tex]

After 3 hours, bacteria B is 150 while A is 160.

This implies that (c) is correct because the population of B is less than that of A, at 3 hour

Lastly, to check if they will ever have equal population or not, we simply equate both equations.

So, we have:

[tex]y = y[/tex]

[tex]25t + 75 =20t + 100[/tex]

Collect like terms

[tex]25t - 20t = 100 - 75[/tex]

[tex]5t = 25[/tex]

Solve for t

[tex]t = 25/5[/tex]

[tex]t = 5[/tex]

They will have equal population at 5 hours.

Hence, b is incorrect

From the above computation, only (c) is correct

An 18 kg weight is lifted up to 12 m in height and then released in free fall. What are the potential energy, kinetic energy and total energy at: The highest point? 3 m above the ground? At the ground?

Answers

Answer:

1) at the highest Point

KE= 0  PE=2116.8 N

2) 3 m above the ground

PE= 529.2 N KE=1587.6 N

3) at the ground

KE= 2116.8 N and PE=0

Step-by-step explanation:

The potential energy is given by

PE= mgh   where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.

The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.

1) at the highest Point

Now at the highest point the  velocity is zero

KE= 1/2 mv²

KE= 0

PE = mgh

PE= 18 *9.8* 12= 2116.8 N

Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N

2) 3 m above the ground

At 3 m above the ground

PE= mgh

PE= 18 *9.8* 3= 529.2 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N-529.2N= 1587.6N

KE=1587.6 N

3) at the ground

at the ground the height will be zero

PE= mgh

PE= 18 *9.8* 0= 0 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N=2116.8 N + 0

KE= 2116.8 N

or

KE= 1/2 mv²

KE = 1/2* 18 *(15.36)²= 2116.8

Please help will give brainliest

Answers

Answer:

D

Step-by-step explanation:

The answer is D and how you do the problem is is convert 4(1/2) into 9/2 and multiply it by itself because it’s a square and then get 81/4 which is 20.25 as a decimal

hii please help asap ill give brainliest thanks

Answers

Answer: Job catagory.

Hunter took out a $3,500 loan with interest to pay for some business supplies. He will repay the loan in 3 years with monthly payments of $109.68. Find the total amount of Hunter’s repayment.
A. $329.04
B. $3,948.48
C. $1,316.16
D. $10,500

Answers

Answer:

A

Step-by-step explanation:

A. $329.04

َ،،،،،،،،،،،،،،،

Help ill give brainliest and 5 star and thx if u help with all of em and ill give 20 points
plz plz plzzz

Answers

Answer:

1. 3mg

2. 3050g

3. 0.025g

4. 5700mg

5. 0.294g

6. 32mg

7. 13700mg

8. 2.441kg

9. 8.24g

10. 0.075kg

11. 430g

12. 0.721g

Step-by-step explanation:

This should be right :)

Which number line shows that point A is 4 units from 0?

Answers

B, -3, -2, 1, 0 is 4 units away.

HI GUYS!! PLS HEL PME I NEED HELP, here is the question


There are 8 big fish for every___
small fish.
There are 4 big fish for every___
small fish.

The image is attached any way pls someone i beg u help me.

Answers

Answer and Step-by-step explanation:

We have to use the image to help us answer this question.

We see that there are 8 big fish in the tank, and 10 small fish in the tank.

So, for the first part, it would be:

There are 8 big fish for every 10 small fish.

For when there are 4 big fish, we need to divide 10 by 2, since 8 divided by 2 is 4.

10 ÷ 2 = 5

So,

There are 4 big fish for every 5 small fish.

I hope this helps!!

#teamtrees #PAW (Plant And Water)

The expression 3(x-9) is equivalent to
03(x)+9.
3(x)+3(9)
03(x) -9.
03(x) – 3(9)

Answers

Answer:

The expression equivalent to 3( x - 9) Is

3(x) - 3(9)

3x-27

The answer is D

3(x)-3(9)= 3x-27

What is the angle through which the pendulum oscillates between two maximum positions?



Answers

Answer:

does this help

Step-by-step explanation:

What is the maximum angle of a pendulum?

Paul Appell pointed out a physical interpretation of the imaginary period: if θ0 is the maximum angle of one pendulum and 180° − θ0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the other.


Which function is the same as the linear
function represented by the table?
x y
-4 -14
-2 -8
0 -2
2 4
4 10

Answers

Answer:

y=3x-2

Step-by-step explanation:

We know the equation ends in -2 because when x is zero, y is -2

To find the rest of the equation take any other point and take away the -2 from y

Then divide the y by the x to see how may times larger (or smaller) the y is then the x

(I chose -14)

-12÷-4=3

y=3x

the put the -2 back at the end because otherwise, your -14 would be a -12 and that is not a point on the table

What is the answer mane

Answers

Answer:

im tryna figure it out to dawg

Step-by-step explanation:

I think its the second choice
Other Questions
for brainiest:):):):):):):):) PLEASE HELP, I NEED THIS TO PASS xx, A hypotonic solution has a lower concentration of solutes than a blood cell. Explain whathappens when a blood cell is placed in a hypotonic solution.A: the blood cell soaks up salt.B: the blood cell swells with water.C: the blood cell stays the same.D: the blood cell loses water. Help please and thanks art conversation often involves A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of rs 50 per box.He spent rs 40 on transportation.He sold the eggs at rs 12 per pair.Calculate his gain or loss%. In the circle below, UW is a diameter. Suppose m VW = 132 and mWVX=21. Find the following When entering numbers that start with a zero, apply the _____ number format.A. TextB. ContextC. ZeroD. Zero decimal Our solar system contains eight planets. Each planet is classified as either a terrestrial planet or a gas giant planet. Which of the following is a difference between these two types of planets? On what frequency can you expect to monitor air traffic in and aroundLincoln Airport? Should I let down the dream to be a singer even though its the best feeling in the world and it makes me feel free and I love music? Look at the diagram of a euglena cell. Early scientists were not sure how to classify this organism.What is one reason that it might be difficult to classify euglena? HELP ME Explain how a person's mother and father can both exhibit or show a trait but their children maynot exhibit the trait. Answer the following questions by choosing whether the first situation is less, equally, or more likely to happen than the second.PART AThe probability of a chance event is 0.32, is likely to happen when compared to 1/3 For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required? Find the surface area and leave your answer in terms of TT=pi14 mm29 mma800 pi1357pi1147 pi1204 pi .) If the charges attracting each other in the problem above have equal magnitude, what is the magnitude of each charge? What is the value of 3x +2 when x = 5 Evaluate the expression below for x = 4 6 (x +7) How do people use checking accounts differently from the way they use savings accounts? A. People write checks or use debit cards to pay for goods and services with the money in checking accounts, while the money in savings accounts is not generally accessed as frequently. B. People open checking accounts if they will not need to access the money deposited in them for several months or years, while people open savings accounts if they will need to access the money deposited in them much sooner. C. People use checking accounts to build up funds over long periods of time in the hopes of making large purchases, while people use the funds in savings accounts to meet their regular expenses. D. People use checking accounts to deposit money earned from their primary jobs, while people use savings accounts to deposit money earned from second or third jobs and gifts. Panuto: Tukuyin ang Dinastiya sa China, Koreaat Japan na nag-ambag sa mga sumusunod.1.Great wall of China:2. Gun powder:3. Crossbow:4. Woodblock printing:5.Forbidden city: