Write an equation in slope-intercept form for the line with slope 1/4 and y-intercept -3

Answers

Answer 1

Answer: [tex]y=\frac{1}{4}x-3[/tex]

Step-by-step explanation:


Related Questions

Please Help Me I Will Give You The Brain Thing And Extra Points.
Write the equation of the line that has a slope of 2 and passes through the point (-3,4)
A)y = 2x - 2
B)y = 2x + 2
C)y = 2x + 7
D)y = 2x + 10

Answers

Y = mx + b
4 = (2)(-3) + b
4 = -6 + b
10 = b

Answer is choice D

A water ballon is launched straight up. The balloons flight is modeled by the function h(t)=16t^2+192t

Answers

Answer:Step by Step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    h*(t)-(16*t^2+192*t)=0

STEP

1

:

Equation at the end of step 1

 ht -  (24t2 +  192t)  = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  ht - 16t2 - 192t  =   t • (h - 16t - 192)

Equation at the end of step

3

:

 t • (h - 16t - 192)  = 0

STEP

4

:

Theory - Roots of a product

4.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

4.2      Solve  :    t = 0

 Solution is  t = 0

Equation of a Straight Line

4.3     Solve   h-16t-192  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  h-16t-192  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000

 t-intercept = 192/-16 = 12/-1  = -12.00000

Calculate the X-Intercept :

When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000

 h-intercept = 192/1  = 192.00000

Calculate the Slope :

Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.125/2.000 =  0.062

Geometric figure: Straight Line

 Slope = 0.125/2.000 = 0.062

 h-intercept = 192/1 = 192.00000

 t-intercept = 192/-16 = 12/-1 = -12.00000

t = 0

Step-by-step explanation:

I will give you brainliest if you solve the math question

Answers

Answer:

x=70

y=55

Step-by-step explanation:

We can start by finding the opposite angle to 125.

180-125=55

We would use 180 because a line is a straight angle, therefore if you intercept the line both angles would add up to 180.

55 is y because they are equivalent.

the sum of all the angles is always 180 so...

55+55=110

180-110=7

Find the value of X, rounded to the nearest tenth.
A. 31.8
B. 31.4
C. 10.3
D. 10.7

Answers

Answer:

31.4

Step-by-step explanation:

x=18/sin35

x= 31.38

=31.4(nearest tenth )

6. 2(x + 6) = 3(x + 1)

7. -2(4x+1) = 3(x+3)

8. 2(5x + 9) = 10x + 18

9. -5(x + 6) = -5x + 9

10. (h+20) = -5(h-6)
11. 3(2x-5) = -(x+1)
12. -3(d+1) = -2(3d-9)

Answers

Answer:

Hope this helps you

Step-by-step explanation:

6. x = 9

7. x = -1

8. x = True of all

9. no solution

10. h = 5/3

11. x = 2

12. d = 7

James has a piece of construction paper with a length of 9/10 feet and a width of 2/3 feet.

What is the area of James's piece of construction paper?

Answers

Area = length x width

When you multiply fractions, multiply top number by top number and bottom number by bottom number:

9/10 x 2/3 = (9 x 2) / (10 x 3) = 18/30 this can be reduced by dividing both numbers by 6:

18/30 reduces to 3/5

Answer: 3/5 square feet

How many solutions does the system have?\begin{cases} y = 9x-5 \\\\ y = 9x+6 \end{cases}⎩⎪⎪⎨⎪⎪⎧​y=9x−5y=9x+6​Choose 1 answer:Choose 1 answer:(Choice A)AExactly one solution(Choice B)BNo solutions(Choice C)CInfinitely many solutions

Answers

The solution to the given equations has infinitely many solutions

Given the following set of equations:

y = 9x - 5

y = 9x + 6

Equating both expressions

9x - 5 = 9x + 6

Collect the like terms

9x - 9x = 6 + 5

0x = 11

x = 11/0

x = ∞

This shows the solution has infinitely many solutions

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Answer: b

Step-by-step explanation: bc khan

Simplify radicals please

Answers

Answer:

-24x^5 y^2 z^8 /3yz

i need help its math

Answers

Answer:

[tex]x=47[/tex]°

Step-by-step explanation:

Find the missing variable in the diagram below.

Answers

60 + (3x - 13) = (5x + 1)

60 + 3x - 13 = 5x + 1

3x - 5x = 1 - 60 + 13

-2x = -46

-2x / -2 = -46 / -2

x = 23

Answer: x = 23

Using the slope formula, find the slope of the line through the given points.
(12,0) and (4, -2)

Answers

Answer:

1/4

Step-by-step explanation:

We know :-

m = (y2 - y1)/x2 - x1

Substitute ,

m = ( 0 -(-2)) / ( 12-4) m = 2/8 m = 1/4

write the equation for a line that passes through the points (5,5) and (7,-5)

Answers

This equation would be equal to y = -5x + 30

Answer:

y = - 5x + 30

Start with the parent function y=|x|. List the transformations from the parent function to y=−|x+2|.

Answers

It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units

Explanation:

It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units

Look at the three graphs y=|x| in pink. y=-|x| in white and y=4-|x+2| in red

what is the answer ..

Answers

Answer:

m = 5, -1/3

don't know if this is right or wrong

Answer:

if the questio is 3m-7 over 4 -2 than

Step-by-step explanation:

the awanser is 3/4m+ -15/4

Are the ratios 2:3 and 4:6 equivalent? Explain your answer.
PLSS HELP ME

Answers

Answer: Yes

Step-by-step explanation:

2:3 is the same as (2/3) and 4:6 is the same as (4/6). (4/6) can be reduced by dividing both sides by 1/22: (4/6)*(1/2)/(1/2) = 2/3, They are the same.

Find the distance from point A (-1/4,5)

to the line - x + 2y = 14. Round your answer to the nearest tenth.

Answers

Answer:

1.7 (units).

Step-by-step explanation:

1) if the point A has (-0.25;5) and the equation of the given line is -x+2y=14 (Ax+By+C=0), then the required distance can be calculated according to the formula:

[tex]d=\frac{Ax_0+By_0+C}{\sqrt{A^2+B^2} }[/tex]     , where A, B and C belong to the given line, x₀, y₀ - coordinates of the given point;

2) A=-1, B=2, C=-14 and x₀=-0.25, y₀=5, then according to the formula above:

[tex]d=|\frac{0.25+5*2-14}{\sqrt{4+1}}|=\frac{3.75}{\sqrt{5}}=\frac{3.75}{2.2}=1.7[/tex]

Which expression has a value between 0 and 1?

a. (1/2)^5 × (1/2)^10

b. (-3)^5

c. 4^-7 × 4^9

d. 2^2/2^-5

Answers

Answer:

a. (1/2)^5 × (1/2)^10

Step-by-step explanation:

HOPE IT HELPS YA

6) Candace Parker bought some new furniture for her house. Tax was included in the price
of the furniture. She bought a chair for 213 dollars, a couch for $812.50, and a television
for $499.99. If she left a 15% tip on the final price of all the furniture how much would
she have paid in total for the furniture and the tip?
ning Carmelo Anthony

Answers

Answer:

$1,754,31

Step-by-step explanation:

Furniture = $213 + $812.50 + $499.99 = $1,525.49

15% * $1,525.49 = $228.82

Total = $1,525.49 + $228.82 = $1,754,31

Candace should have gone to Wayfair

A mars rover traveled from point a to point b at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rover to travel at a speed of 2.5cm/sec and increased the travel time by 15 minutes. what is the distance between point a and point b?

Answers

Answer:

60

Step-by-step explanation:

time * speed

in seconds 60x *4 = 2.5(60x + 900)

x= 25

25 min * 4cm/2

distance = 60 meters

CHEck!!!

Using a system of linear equations, the distance between points A and B is 6000 cm

Initial speed = 4cm/sec

Time taken = Distance / speed

Let ; distance = d

To time :

t = d / 44t = d ______(1)

Fro time :

(t + 15 × 60) = d / 2.5

2.5(t + 900) = d

2.5t + 2250 = d ______(2)

Equate (1) and (2)

4t = 2.5t + 2250

4t - 2.5t = 2250

1.5t = 2250

t = 1500 seconds

From (1) :

d = 4t

d = 4(1500)

d = 6000 cm

Therefore, the distance from point A to B is 6000 cm

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Some methods for graphing equations work well with certain equations and some don’t. Knowing which method to select based on the given equation is a valuable skill. You have learned three methods to graph equations. These methods are:

y = mx + b
find intercepts
use a t-chart

A. Post your response to the discussion board.

Using the following 3 equations, answer the questions:
11 x plus y equals 4 space x plus y equals negative 2 space x minus 2 y equals 18

How can you determine which equations can be graphed more easily using x- and y-intercepts, rewriting in slope-intercept form, or using a table of values?
Which method works best for you personally? When does it not work as well?

Answers

Answer:

Step-by-step explanation:

I tried to translate "11 x plus y equals 4 space x plus y equals negative 2 space x minus 2 y equals 18"

This is what I got:

11x + y = 4

x+y=-2

x-2y=18

For me, personally, I need to rewrite these equations into standard format of y=mx+b (slope intercept):

-------

11x + y = 4

y=-11x+4

-------

x+y=-2

y=-x-2

-------

x-2y=18

2y = x-18

y=(1/2)x-9

------

For each one I can find the y-intercept easily: (4, -2. and -9). I can quickly generate a second point by assuming a convenient value for x (one that makes the calculation simple).

1. y=-11x+4 let x = 1; y = -7 : (1,-7)

y=-x-2 let x = 2; y= -4 : (2,-4)

y=(1/2)x-9 let x= 2; y=-8 : (2,8)

The y-intercepts tell us at point on the line for each equation:

(4, -2. and -9) means points at (0,4), (0,-2) and (0.-9)

Now we have two point for each line equations. All we have to do is mark those two points for each equation and draw a line through them. Easy!

The two points for each equation are:

1. (1,-7), (0,4)

2. (2,-4), (0,-2)

3. (2,8), (0.-9)

This always works well for equation of lines. More comples equations involving parabolas, etc., are more easily graphed using tables of the results of various x inputs.

Find mLJKL if mDKL = 80°
and mJKD=65º.

Answers

there is the answer to your problem

lou's car had 6.6 gallons of gas

Answers

Answer:

so they have 6.6 Gallons?

Step-by-step explanation:

What is the question? I’m assuming he have 6.6 gallons of gas as the answer.

HELP! NOW!
During a sale at a store, sweaters are being sold at a 65% discount. Let x represent the discount on sweaters. The shirts have the same discount as the sweaters. Let y represent the discount on shirts. The pants do not have the same discount as sweaters. Let z represent the discount on pants. Which statement is true? A. x ≠ y B. x = y C. z = x D. y = z

Answers

Answer:

B. x = y

Step-by-step explanation:

Since sweaters discount (x) and shirt discount (y) are the same like we are told, then they are equal.

A box has 200 socks, 20 are blue and the rest are red. A person draws socks at random from the box, hoping to find a pair of blue socks. (a) Suppose that m socks are taken without replacement. Let Y be the random variable that counts the number of blue socks in the sample of m. What is the pmf of Y

Answers

Ummm i don't know what the pmf would be but the probability of grabbing a blue sock would be 10 out of 100...

which ordered pair is a solution to the equation

Answers

B) Only (1, 3)

2x + 3y = 10

Substitute (2,2) into the equation:
2(2) + 3(2) = 10
4 + 6 = 10 which is true

Substitute (1,3) into the equation:
2(1) + 3(3) = 10
2 + 9 is not equal to 10

If a van traveled 180 miles in 3 hours, how far could the van travel in 7 hours?

Answers

Answer:

42 miles

Step-by-step explanation:

180/3=6 6x7=42

Answer:

420 miles in 7 hours

Step-by-step explanation:

You divide 180 by 3 to get how much the van is traveling per hour. When you get the answer 60 multiply it by 7 then you have 420 miles in 7 hours.

Find the simple interest.
Principal
$160
Rate
5.5%
Time
4 years
The simple interest is
(Simplify your answer.)

Answers

Answer:

$35.20

Step-by-step explanation:

S.I. = (P×R×T)/100

=(160×5.5×4) /100

= (640×55) / 100×10

= (64×55) / 100

= 3520 / 100

= $ 35.20

brainliest plz

Solve the system of equations by the substitution method. x+4y=6 y=3−x

Answers

Answer:

x = 2, y = 1

Step-by-step explanation:

x + 4y = 6 and y = 3 - x have to be rearranged: x + 4y = 6 and x + y = 3

You subtract the equations to eliminate one of the variables (x) so that the other can be found

A sample of 2,000 union members was selected, and a survey recorded their opinions regarding a proposed management union contract. A total of 1,600 members were in favor of it. A 95% confidence interval estimated that the population proportion was between 0.78 and 0.82. This indicates that about 80 out of 100 similarly constructed intervals would include the population proportion.

a. True
b. False

Answers

Answer:

a

Step-by-step explanation:

True, the 95% confidence interval suggests that there is a high likelihood (about 80 out of 100 intervals) that the true population proportion of union members in favor of the proposed management union contract falls between 0.78 and 0.82.

The confidence interval estimated for the population proportion of union members in favor of the proposed management union contract was between 0.78 and 0.82, with a confidence level of 95%.

The confidence level represents the probability that the interval contains the true population parameter.

In this case, with a confidence level of 95%, it means that if we were to repeat the survey and construct 100 similar confidence intervals, approximately 95 of those intervals would contain the true population proportion.

Therefore, when it is stated that "about 80 out of 100 similarly constructed intervals would include the population proportion," it means that the estimated confidence interval aligns with the confidence level of 95%, indicating that approximately 80% of those intervals would contain the true population proportion.

To learn more on Statistics click:

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#SPJ2

PLZZZ LOOK AT THE PHOTO PROVIDE HELPPPP I NEEED HELPPPPPPPPPOPP

Answers

Answer:

OH MY GOSH I DON'T KNOW BUT GL! WISH YOU THE BEST AAAAA-

Step-by-step explanation:

Answer:

ITS A

trust me it's quite simple. you just need to find the overall pattern of the sequence

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