A line passes through the point (-9,8) and has a slope of
-4/3
Write an equation in slope-intercept form for this line.

Answers

Answer 1

Answer:

y = -4/3x - 4

Step-by-step explanation:

Given

(x1,y1) = (-9,8)

slope, m = -4/3

Required

Determine the line equation

The equation is of the form

y - y1 = m(x - x1)

Substitute values for y1, x1 and m

y - 8 = -4/3(x - (-9))

y - 8 = -4/3(x + 9)

y - 8 = -4/3x - 12

y = -4/3x - 12 + 8

y = -4/3x - 4


Related Questions

Jade used 3/4
yard of fabric to make a scart. Can she make 2 of these scarves with 1 4/5 yards of fabric, and why?

Answers

Answer:

Yes she can

Step-by-step explanation:

3/4 = 0.75

1 4/5= 1.8

0.75 x 2 = 1.5 which is less that 1.8 so she can

Amy is having her birthday party at a roller skating rink. The rink charges a fee of $50 plus $8 per person. If Amy wants to spend at the most $170 for the party at the rink, how many people can she invite to her party? Write a let x statement, an inequality and solve.

Answers

Answer:

(170 - 50)/8 = X

Step-by-step explanation:

X = amount of people

(170 - 50)/8 = X

Inequality

X = Number of People

50+(8*X) [tex]\leq[/tex] 170

The x statement is x ≤ 15. An inference is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.

What is meant by inequality?Inequality the state of not being equal, particularly in status, rights, and opportunities1 is central to social justice theories. However, it is prone to misunderstanding in public debate because it means different things to different people. Some distinctions, however, are universal. A solution to an inequality in x is a number that, when substituted for x, yields a true statement. So, for example, 4 is a solution, whereas 8 is not. An inequality's solution set is the set of all solutions.The expression 5x 4 > 2x + 3 resembles an equation, but the equals sign has been replaced by an arrowhead. It's an example of inequity.

Therefore,

(170 - 50)/8 = X

X = Number of People Over 50 (170 - 50)/8 = X

Inequality (8 × X) ≤ 170

An inequality is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.

To learn more about inequality, refer to:

https://brainly.com/question/24372553

#SPJ2

How many days are in 5 years? Correct answer gets brainliest. 2 possible answers

Answers

Answer:

1826.21099

Step-by-step explanation:

Answer: 1825 days.

Step-by-step explanation: 365x5=1825

Which of the following is a true statement 68/5 - 22/5 = 9 1/5

Please somebody awnser

Answers

Answer:

The answer is D

Step-by-step explanation:

I took the test and got it right <3

Answer: The first question in the selection is correct!

Step-by-step explanation:

what ratio is lesa than 7/15​

Answers

Answer:

2/5=6/15 and that is less so....

Step-by-step explanation:

translate the sentence into an equation

The sum of 6 times a number and 2 is equal to 3

Answers

Answer:

6x + 2 = 3

Step-by-step explanation:

x would represent the unknown number

The sum refers to addition

6 times a number would be 6x (you can use any variable, but for this example I'm using x)

When you put it all together, it is 6x + 2 = 3

The required equation is 6x + 2 = 3.

It is required to find the equation.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers

Given:

The sum of 6 times a number and 2 equals 3.

According to given question we have,

Let the number be x.

6 times a number would be

6x

The sum of 6 times a number and 2 equals 3.

6x + 2 = 3.

Therefore, the required equation is 6x + 2 = 3.

Learn more about equation here:

brainly.com/question/18760193

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Una partícula se mueve sobre el eje x de acuerdo con la ecuación del movimiento
s=f(t) donde s es la distancia dirigida al origen en pies a los t segundos.
a) La velocidad v(t) y la aceleración a(t) en el instante t.
b) El instante t en el que la velocidad es cero.
s= 6t-t²
s=t²-6t
s= t²-9t+24

Answers

Answer:

a)

s= 6t-t² -->  v = 6 -2t  --> a = -2

s=t²-6t  --> v = 2t-6       -->    a = 2

s= t²-9t+24  -->  v = 2t -9   -->  a = 2

b)

v = 6 -2t  = 0  --> t = 3

v = 2t-6  = 0   --> t = 3

v = 2t -9   = 0 --> t = 9/2

Step-by-step explanation:

si s(t) es la distancia, la velocidad es la primera derivada v(t) = s'(t)

y la acceleracion es la segunda derivada : a(t)= v'(t) = s''(t)

s= 6t-t² -->  v = 6 -2t  --> a = -2

s=t²-6t  --> v = 2t-6       -->    a = 2

s= t²-9t+24  -->  v = 2t -9   -->  a = 2

PRACTICE ANOTHER Is 4a a factor of 2a · 38b? (Assume that a and b represent integers.) Yes, because 4 is a multiple of 38. Yes, because 2a · 38b = 4a · 19b where 4a and 19b are integers because a and b are integers and products of integers are integers. Yes, because 4a is a divisor of 38b. No, because 38 is not a divisor of 4. No, because 2a · 38b = 4a · 19b where 4a and 19b are not necessarily integers because products of integers are not always integers.

Answers

Answer:

Yes, [tex]2a . 38b = 4a . 19b[/tex]

Step-by-step explanation:

Given

[tex]Expression: 2a.38b[/tex]

Required

Is 4a a factor of the expression?

Analyzing each option.

1.

[tex]2a . 38b = 4a . 19b[/tex]

[tex]76ab = 76ab[/tex]

The above expression is true.

Hence: This option answers the question

.60 is what percent of 180? ​

Answers

Answer:

1.08

Step-by-step explanation:

.60% *180=108

108/100=1.08%

Answer:

108

Step-by-step explanation:

Kai needs a car to get to work and school. He's decided on a used car with a cost of $12,000. According to his budget he can afford to pay up to $300 per month and car payments. Which loan offer is best for Kai?

Answers

Answer:

The answer is Offer 3 because it has the lowest total loan cost of the offers with a monthly payment in his budget

Answer: c, offer 3

Step-by-step explanation: just did the quiz

For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds. Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand. I need the coordinates for the graph please.

Answers

Answer:

First, let's write our equation in a general way.

We know that:

1 cubic foot weighs 80 pounds.

The container weighs 40 pounds.

Then, if i put n cubic feet of sand in the container, the total mass will be one time the mass of the container plus n times the mass of one cubic foot of sand.

We can write this as:

w(n) = 40lb + n*80lb

This is a linear equation, where the y-axis will represent the mass in pounds and the x-axis will be the number of cubic feet of sand in the container in units, a graph of this is shown below.

You can see that it is really steep, this is because for really small increments in n, the weight increases a lot.

Answer

ok, Just plot the points at (0,40) and (2,200) :))

Anna is in a cave 42 feet below the cave entrance. She descends 10 feet, then ascends 15 feet. Find her new position relative to the cave entrance.

Answers

Answer:

Her new position is 37 feet below the cave entrance

Step-by-step explanation:

Let us solve the question

∵ The cave entrance is the zero position

∵ Anna is in 42 feet below the cave entrance

→ Below zero means negative

Anna is in -42 feet

∵ She descends 10 feet

Descend means negative

She is in -42 + -10 = -52 feet

∵ She ascends 15 feet

Ascend means positive

She is in -52 + 15 = -37 feet

→ -37 means she is in below the cave entrance by 37 feet

Her new position is 37 feet below the cave entrance

Suppose you have a 6-face unfair dice with numbers 1,2,3,4,5,6 on each of its faces. If the probability distribution of throwing a number up is as follows: 1 with probability 1/12 2 with probability 1/12 3 with probability 1/12 4 with probability 1/12 5 with probability 1/12 6 with probability 7/12 What are the mathematical expectation and variance of the dice based on the above probability distribution

Answers

Answer:

Expectation is equal to 4.75

Variance is equal to 3.02

Step-by-step explanation:

Consider the attached image.

Let [tex]x_i[/tex] denotes each of the outcome.

Expectation [tex]=E(X)[/tex] = ∑[tex]x_if(x_i)[/tex]

[tex]=1(\frac{1}{12}) +2(\frac{1}{12}) +3(\frac{1}{12}) +4(\frac{1}{12}) +5(\frac{1}{12}) +6(\frac{7}{12})[/tex]

[tex]=\frac{1}{12}+\frac{2}{12}+\frac{3}{12}+\frac{4}{12}+\frac{5}{12}+\frac{42}{12}\\\\=\frac{57}{12}\\\\=4.75[/tex]

[tex]E(X^2)=[/tex] ∑ [tex]x_i^2f(x_i)[/tex]

[tex]=1^2(\frac{1}{12}) +2^2(\frac{1}{12}) +3^2(\frac{1}{12}) +4^2(\frac{1}{12}) +5^2(\frac{1}{12}) +6^2(\frac{7}{12})[/tex]

[tex]=(\frac{1}{12}) +4(\frac{1}{12}) +9(\frac{1}{12}) +16(\frac{1}{12}) +25(\frac{1}{12}) +36(\frac{7}{12})\\\\=\frac{307}{12}[/tex]

Variance  [tex]=E(X^2)-[E(X)]^2[/tex]

[tex]=(\frac{307}{12})-(\frac{57}{12})^2\\\\ =\frac{307}{12}-\frac{3249}{144}\\\\ =\frac{3684-3249}{144}\\\\ =\frac{435}{144}\\\\ =3.02[/tex]

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

find f(2)
find g(4)
find (f+g) (x)

Answers

[tex]f(x) = 2 {x}^{3} [/tex]

[tex]f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 [/tex]

_________________________________

[tex]g(x) = x - 3[/tex]

[tex]g(4) = 4 - 3 = 1[/tex]

_________________________________

[tex](f + g)(x) = f(x) + g(x) [/tex]

[tex](f + g)(x) = 2 {x}^{3} + x - 3 [/tex]

_________________________________

Done...♥️♥️♥️♥️♥️

BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How
many cups of sliced apples are needed to make 4 apple pies?

Answers

Answer:

24 cups of sliced apples

Step-by-step explanation:

6 multiplied by 4=24

hope this helps

7th grade math help me plzzz

Answers

Answer:

11.a) is 15+5.50+3 maybe

11.b) is $3.50 because 15-12=3 3+5.50=8.50 8.50+3=11.50 11.50-8=3.50

Shirley is drawing triangles that have the same area. The base of each
triangle varies inversely with the height. What are the possible base
and height of a second triangle if the first triangle's base is 12 and its
height is 8?
Select one:
a. 120 and 80
b. 10 and 10
c. 60 and 36
d. 16 and 6

Answers

Answer:

d. 16 and 6

Step-by-step explanation:

Triangle area = (base × height)/2

A = (8 × 12)/2 = 96/2 = 48

A = (16 × 6)/2 = 96/2 = 48

The science teacher gives daily homework. For a random sample of days throughout the year, the median number of problems is 5 and the IQR is 2. The Spanish teacher also gives daily homework. For a random sample of days throughout the year, the median number of problems is 10 and the IQR is 1. If you estimate the median number of science homework problems to be 5 and the median number of Spanish problems to be 10, which is more likely to be accurate? Explain your reasoning.

Answers

Answer:

SCIENCE SEEMS MORE ACCURATE

Step-by-step explanation:

The interquartile range (IQR) = difference between the upper and lower quartile (Q3 - Q1)

The median can be estimated as :

(Q3 - IQR/2) or (Q1 + IQR/2).

FOR SCIENCE:

MEDIAN NUMBER = 5

IQR = 2

IQR = Q3 - Q1

Q3 = median + IQR/ 2 = 5 + 2/2 = 6

Q1 = median - IQR/2 = 5 - 2/2 = 4

FOR SPANISH:

MEDIAN = 10

IQR = 1

IQR = Q3 - Q1

Q3 = median + IQR/ 2 = 10 + 1/2 = 10.5

Q1 = median - IQR/2 = 10 - 1/2 = 9.5

Science has a lower median score and an interquartile range which is reasonable wider than Spanish with a larger median value (but a very narrow interquartile range).

6 - 8x = 6x - 9x + 11

Answers

6-8x=-3x+11

-8x+3x=11-6

-5x=5

x=-1

The first step is to isolate the variable, then you solve. Hope this helps, brainliest if you can.

Answer:

hi

Step-by-step explanation:

hi i am a gamergirl add me in fortnite xxgamergilxx93_qt

The sum of 48 and itself, its half and half of the half is added to 18.​

Answers

Answer:

150

Step-by-step explanation:

This is a word problem which should be tackled accordingly.

The sum of 48 and itself

= 48+48

= 96

It's half and half of its half

= 48/2 and (48/2)/2

= 24+ 24/2

= 24+12

= 36

Is added to 18

= 96+36+18

= 150

From the description above the entire sum is 150.

The width of a rectangle
is 11 feet longer than the
length. The perimeter of the
rectangle is 70 feet. Find
the length and the width

Answers

Answer:

Hello! The answer to this problem is Length= 27 and Width= 8

Step-by-step explanation:

2(11+2x) +2x = 70

6x + 22 = 70

6x = 48

x = 8

Help please thanks :)

Answers

Answer:

the answer is part 3 : exactly 30 .....

The answer 3 : exactly 30..

Four times the sum of f and g is identical to six times g

Answers

Answer:

4(f+g)=6g

Step-by-step explanation:

4(f+g)=6g


Choose another name for plane s look at the picture for the full answer thank you for helping!

Answers

Answer:

c: plane ptm

Step-by-step explanation:

Find the value of x.

Please help!!​

Answers

X is equal to 5. Hope this helps and have a good day. Also, A Brainliest would be much appreciated

Answer:

5

Step-by-step explanation:

Use the Exterior Angle Theorem.

The E.A.T states that the measurement of an exterior angle is found by adding the two opposite and non-adjacent interior angles.

In this case, the Exterior Angle is 121. The sum can be found by combining 17x - 4 and 8x. Set the equation:

17x - 4 + 8x = 121

First, combine like terms:

17x + 8x - 4 = 121

(17x + 8x) - 4 = 121

(25x) - 4 = 121

Next, Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides of the equation:

25x - 4 (+4) = 121 (+4)

25x = 121 + 4

25x = 125

Next, divide 25 from both sides:

(25x)/25 = (125)/25

x = 125/25

x = 5

5 is your value for x.

~

Before adding the following fractions, you need to find the common ? 2/3 + 1/6 =

Answers

Answer:

denominator

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

2/3×2/2 + 1/6

4/6 + 1/6

5/6

The critical path for a project was found to be 37 days. The variances total 27. What is probability of completing in 43 days? Below is information that might be useful to answer the question. Answer to 2 decimal points

Answers

Answer:

0.1241.

Step-by-step explanation:

So, from the question we are given the following parameters or information or data which are going to help us in solving this particular question/problem. They are; [1]. The critical path for a project = 37 days, the variances total or variance of critical path or sum of variance on critical path]². = 27, the desired completion time/day = 43 days.

So, we will be making use of the formula given below;

The number of standard deviation = desired completion time/day - critical time or sum of critical path times ÷√[variance of critical path or sum of variance on critical path]².

The number of standard deviation = 43 - 37 ÷ √27 = 1.1547.

Thus, the probability of completing in 43 days = P(Z > 1.1547) = 0.1241.

Find the length of the segment...

NEED HELP FOR A TEST tomorrow

Answers

Answer:

The length of the segment is 5

g If a snowball melts so that its surface area decreases at a rate of 8 cm 2/min, find the rate at which the diameter decreases when the diameter is 9 cm.

Answers

Step-by-step explanation:

The snowball is spherical in nature

The total surface area of the ball = 4πr²

Or 4π(d/2)²

S = 4πd²/4

S = πd²

d is the diameter of the ball

The rate at which the area is decreasing is expressed as;

dS/dt = dS/dd • dd/dt

dd/dt is the rate at which the diameter is decreasing

dS/dd = 2πd

dS/dt = 2πd • dd/dt

dS/dt = 2π(9) • dd/dt

8 = 18π•dd/dt

dd/dt = 8/18π

dd/dt = 4/9(3.14)

dd/dt = 4/28.26

dd/dt = 0.1415cm/min

Hence the diameter is decreasing at the rate of 0.1415cm/min

The qoutient of 9 3/4 and 5/8?

Answers

Answer:

do you mean 9 3/4 divided by 5/8, if so, it gives you 78/5

Step-by-step explanation:

answer:

it is 15 3/5

your welcome

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