7. Write the equation of a line which passes through the points (-3,5) and (6,23)

Answers

Answer 1

Answer:

answer to the equation is

[tex]y = 2x + 11[/tex]

Step-by-step explanation:

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

first find the slope of the line using the two points

[tex]slope \: m = \frac{y2 - y1}{x2 - x1} = \frac{23 - 5}{6 - ( - 3)} \\ = \frac{18}{9} \\ slope \: m = 2[/tex]

substitute 2 for m and use one of the points for x and y and solve for b

[tex]5 = 2( - 3) + b \\ 5 = - 6 + b \\ 5 + 6 = b \\ b = 11[/tex]

Now that you found b, the y-intercept, you can substitute that into the equation for your line

[tex]y = 2x + 11[/tex]


Related Questions

PLEASE ANSWER 9 AMD 10 I BEG YOU YOU DONT NO HOW MUCH IT WOULD HELP

Answers

9a: 1/5. She takes a 1/5 and puts it in each so your fraction is 1/5

9b: $105. 525 / 5 = 105

10: Option 1. He gains more money this way.

In option 1 if he gets his allowence for 4 weeks, he would make $15 (1+2+4+8).

But in option 2 he would only make $4 because the square of 1 is 1 (1+1+1+1)

Hope that helps and hope I did that correctly

#9

Total amount = $525

Split by a fraction, divide by 5 and then again divide by 5:

525*1/5*1/5 = 525*1/25 = 21a) The fraction = 1/25b) The amount = $21#10

Option 1 results in sequence:

1, 1*2=2, 2*2=4, 4*2=8, etc

Option 2 results in sequence:

1, 1² = 1, 1² = 1, 1² = 1, etc.

It's obvious that option 1 is a better choice.

After a 80% reduction, you purchase a new washing on sale for $104. What was the original price of the clothes dryer?

Answers

Answer:

$520 dollars

Step-by-step explanation:

104÷2 = 52 × 10 = 520

Multiply the following and provide the product in standard from thank you

Answers

Answer:

x^3 + 4x^2 - 7x - 10

Step-by-step explanation:

To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.

Solve for x. will mark brainlis

Answers

Answer:

im not very good at math so maybe 202.5 but that might be a little high

Step-by-step explanation:

PLEASE HELP PLEASE PLEASE HELP PLEASE​

Answers

Answer:

2

Step-by-step explanation:

it dot number 2 to click

Answer:

0 ≤ months ≤ 12

Step-by-step explanation:

Domain is the x-values and axis, so it is 0 to 12.

Hopefully this helps!

Brainliest please?

The polynomial function P(X) = 30x - 97,000 models the Relationship between the number of computer briefcases x that a company sells and the Profit the company makes , P(x). find p(4000) computer Briefcases

Answers

Answer:

A Is the mega super duper pooper hooper flooper booper answer

Step-by-step explanation:

Brainlyyyyyyyy

If 5 more than 5 times a number is 15, what is the number?

A) 4
B) 2
C) -4
D -2

Answers

B) 2

15 = 5x + 5
10 = 5x
x= 2

Answer:

B) 2

Step-by-step explanation:

5 + 5x = 15

5x = 15 - 5

5x = 10

x = 2

In my point of view, the correct answer is B) 2

Hope it helps.

Arrange the following inequality into slope-intercept form. Then, describe what type of boundary line would be used and where to shade.

6x > 2y ‒ 5

Answers

Answer:

To put this equation in point slope form, we want an equation of the form y=mx+b or in this case, y< mx+b or y< mx+b. To isolate y, we divide through by 2 and move the 5/2 to the other side, so the equation becomes 3x+5/2 > y. So, since we are interested in all values of y that are less that 3x+5/2 we would shade the region below the line. Since y=3x+5/2 is not a solution to the inequality since it is strictly less, we would need a dashed boundary line since the boundary is not included.

Step-by-step explanation:

3/5 × 7 1/2 ÷ 2 7/10

Answers

Answer:

simplify??

Step-by-step explanation:

Exact form:5/3

Decimal form:1.6

Mixed number form:1 2/3

What is the value of f(x) = 5x +1 at f(-4) ?

Answers

Answer: -19

Solving:
f(x) = 5x + 1
f(-4) = 5(-4) + 1
f(-4) = -20 + 1
f(-4) = -19

an animal sanctuary currently has 125 elk in it. the elk are expected to increase by 20% each yea. How many elk will there be in 3 years

Answers

I think it is 200.

I multiplied 125 with .2 and I got 25.
I added 25 three times to get 200.

help please.., asap thanks

Answers

Answer:

4.5

Step-by-step explanation:

1. The slope/unit rate in this equation is 4.5. The constant of proportionality, k, is the same thing as the slope, meaning that's the k = 4.5.

what has the same value as 0.45

Answers

Answer:

9/20 or 45%

Step-by-step explanation:

Step-by-step explanation:

WHY IT IS SAYING YO WRITE AT LEAST 20 CHARACTERS

OHH, IT IS ALREADY 20 CHARACTERS

how do i solve this problem?

Answers

Answer:

The fraction for 0.455555... is 41/90.

Step-by-step explanation:

Hope this helps!

PLEASE ANSWER ASAP BREAIANEST!!!!

Answers

Answer:

I believe it is -11/8 cups

Please help me I beg u

Answers

Answer:

a. 36

b. 54

c. 2

d. 3

Step-by-step explanation:

a. [tex]6^{2}[/tex]

Calculate 6 to the power of 2 and get 36.

6 x 6 =

36

b. 56 + -2

Subtract 2 from 56 to get 54.

56 - 2 =

54

c. 6 + -[tex]2^{2}[/tex]

Calculate 2 to the power of 2 and get 4.

6-4

Subtract 4 from 6 to get 2.

2

d. [tex]\frac{-2 + 20}{6}[/tex]

Add −2 and 20 to get 18.

[tex]\frac{18}{6}[/tex]

Divide 18 by 6 to get 3.

3

Can u guys help me with #5 and 6 please?

Answers

Hope this works!
Jjgvxdhgkhxsggvxsouyvuvy

how would you write 9x(4+9)= in distributive proparty?

Answers

Answer:

117

Step-by-step explanation:

not sure if the x after the 9 was a variable of the letter x or multiplication i put it as multiplication.

Brian painted 2/3 of a fence in 3/4 of a day. How long will it take him to paint the entire fence? ​

Answers

Answer:

9/8 days

Step-by-step explanation:

If it takes him 3/4 of a day to paint 2/3 of a fence, it would take him 9/8 days to paint the whole fence ((3/4)/(2/3)).

You can think of it like this:

It would take 3/8 of a day to paint 1/3 of a fence. So to find how long it takes to paint the whole fence, multiply 3/8 by 3.

here is a graph of a polynomial function with degree 4 what statements are true about the function?

Answers

The leading coefficient is positive (starts and ends positive given an even degree polynomial)

It has 4 linear factors (the graph crosses the x-axis at 4 places)

One of the zeroes is x=2 (the graph crosses the x-axis at x=2)

The statements that are true about the functions are:

The leading coefficient is positive.

It has two relative maximums

It has four linear factors.

One of the zeroes is x = 2.

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

From the graph,

The graph passes through the following points on the graph.

x = -4

x = -2

x = 2

x = 6

This means the polynomial function is:

P(x) = (x + 4)(x + 2)(x - 2)(x - 6)

If we simplify the polynomial we get,

P(x) = (x² + 2x + 4x + 8) (x² + 6x - 2x + 12)

P(x) = [tex]x^{4}[/tex] + 6x³ - 2x³ + 12x² + 2x³ + 12x² - 4x² + 24x + 4x³ + 24x² - 8x² + 48x + 8x² + 48x - 16x + 96

P(x) =[tex]x^{4}[/tex] + 10x³ + 44x² + 104x + 96

The leading coefficient is positive 1 so it is positive.

The constant term is a positive number (96).

The relative maximum is a point on the graph where the function changes from increasing to decreasing.

So,

From the graph, there is only one point.

So only one relative maximum.

The relative minimum is a point on the graph where the function changes from decreasing to increasing.

So,

From the graph, there are two relative maximums.

The function has four linear factors

(x + 4), (x + 2), (x - 2), and (x - 6).

x = -4, x = -2, x = 2, and x = 6

Thus,

The statements that are true about the functions are:

The leading coefficient is positive.

It has two relative maximums

It has four linear factors.

One of the zeroes is x = 2.

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ2

The Lopez family is driving to the state fair. First, they drove 32 kilometers to stop for a snack. Then, they drove another 35 kilometers and stop for gas. There were 17 kilometers left to drive.

How many kilometers does the family have to drive to get to the state fair?

Answers

32 kilometers + 35 kilometers + 17 kilometers

= 67 kilometers + 17 kilometers

= 84 kilometers

#LearnWithEXO

Answer:

84 kilometers

I hope it will help you po

Write the equation of a line that is perpendicular to y = 3x - 2 and goes through the point (0,5)

Answers

Answer:

y = -1/3x + 5

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. This means that if you multiply the slopes of both linear equations, the product will be -1.

Given the linear equation, y = 3x - 2, and the point (0, 5):

The negative reciprocal of the slope (m) = 3 is -1/3. Hence, we can assume that the slope of the other line must be -1/3.

Next, using the slope of the other line (m = -1/3) and the given point, (0, 5), we'll substitute these values into the slope-intercept form, y = mx + b, to solve for the y-intercept (b):

y = mx + b

5 = -1/3(0) + b

5 = 0 + b

5 = b

The y-intercept (b) of the other line is 5.

Therefore, the linear equation of the line perpendicular to y = 3x - 2 is:

y = -1/3x + 5

Please mark my answers as the Brainliest if you find my explanations helpful :)

This chart shows the cost per pound of different fruits.


Estimate the cost of 3.2 pounds of apples.


The cost of 3.2 pounds of apples is about___.



1. ($1)(3 lb) = $3

2. ($2)(3 lb) = $6

3. ($2)(4 lb) = $8

4. ($3)(5 lb) = $15

please if you know the answer, answer this right away bc I'm being timed... T-T

Answers

Answer:

2. ($2)(3 lb) = $6 Round and then multiply

Use the formula to find the slope of the line that passes through these two points. Show your work.

(1,2) and (7,7)

Answers

Answer:

Solution given:

[tex](x_1,y_1)=(1,2)[/tex]

[tex](x_2,y_2)=(7,7)[/tex]

now

slope:[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{7-2}{7-1}=\frac{5}{6}[/tex]

Slope: 5/6

2tanx - 3cotx + 1 = 0

Answers

Answer:

hope its helpful

have a great day

please need help! it’s discrete math!!

Answers

Answer:

B

Step-by-step explanation:

It's easy.

Answer:

Free

is all I see

Step-by-step explanation:

What is pm ⋅ pn equal to?




'

Answers

Answer:

pm*pn = p^2mn. But if p=1, then it would just be pm*n

Step-by-step explanation:

Hope this helps

Srry if it doesn't

How do i get 51 with the numbers 5, 6, 7, 8? Must use all of the numbers and only can use addition, subtraction, multiplication, or division.

Answers

Answer:

(8-5)*(6+7+(8-6)+(7-5))

Step-by-step explanation:

By using the digits in a way of  (8-5)×(6+7+(8-6)+(7-5)) we get 51.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, we have to get a result of 51 using the digits  5, 6, 7, 8 and must use all of the numbers and only can use addition, subtraction, multiplication, or division this can be formed as,

51 = (8-5)×(6+7+(8-6)+(7-5))

learn more about numerical expressions here :

https://brainly.com/question/29199574

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A. Levi decorates with a stamp foot long and į foot wide. What is the area of the stamp? 3 4 B. The work space in Lillian's room has a width of meter and an area of į square meter. How long is it? 3 3 C. Lauren jogs around a rectangular course with a length of mile and an area of į square mile. How wide is the course? D. Layton paints on a canvas that has a length of yard and an area of square yard. How wide is the canvas? ? 1​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The statement representing the problem is :

Layton points on a canvas that has a length of 1/3 yard and an area of 3/4 square yard. How wide is the Canvas ?

D is the Correct choice ~

what is the product please
-1/6 x 7 x 2/5

Answers

The correct answer is: " [tex]- \frac{7}{15}[/tex] " ;  or, write as:  " [tex]\frac{-7}{15}[/tex] " .

________________________________________

Step-by-step explanation:

   →   -1/6 * 7 * 2/5 ; [tex]\frac{-7}{15}[/tex]

         =  "  [tex]\frac{-1}{6} *\frac{7}{1} *\frac{2}{5} = \frac{(-1*7*2)}{(6*1*5)} = \frac{-14}{30}[/tex] " ;

Now, simplify the value:  " [tex]\frac{-14}{30}[/tex] " ;

_______

→  "    [tex]\frac{-14}{30} = \frac{(-14/2)}{(30/2)} = - \frac{7}{15}[/tex] " ;

_______

The correct answer is:  " [tex]- \frac{7}{15}[/tex] " ; or, write as: " [tex]\frac{-7}{15}[/tex] " .

_______

Hope this is helpful to you!

  Wishing you well !

_______

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