It’s linear so you map out the first differences and then put it into y=Mx+b form. For the y gotta find the y intercept. please help

Its Linear So You Map Out The First Differences And Then Put It Into Y=Mx+b Form. For The Y Gotta Find

Answers

Answer 1

Answer:

y = 5/3x + 1

y-intercept: (0, 1)

Step-by-step explanation:

In order to determine the linear equation in its slope-intercept form, y = mx + b, where m = slope, b = y-intercept:

You need two ordered pairs from the table to solve for the slope:

We'll use (6, 11) and (9, 16).

Let (x1, y1) = (6, 11)

(x2, y2) = (9, 16)

Substitute thes values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = (16 - 11) / (9 - 6)

m = 5 / 3

Therefore, the slope of the line is: m = 5/3.

Next, we need to determine the y-intercept of the line. The y-intercept is the y-coordinate of the point (0, b ) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

To find the y-intercept, we'll use the slope, m = 5/3, and one of the ordered pairs from the table, (6, 11). Substitute these values into y = mx + b to solve for the y-intercept, (b ):

y = mx + b

11 = 5/3(6) + b

11 = 10 + b

Subtract 10 from both sides to solve for b:

11 - 10 = 10 - 10 + b

1 = b

The y-coordinate of the y-intercept, (0, b) is 1. The y-intercept as an ordered pair is (0, 1). For the linear equation in slope-intercept form, you'll use b = 1 to write the equation.

Therefore, given the slope, m = 5/3, and the y-intercept, b = 1:

The slope-intercept form is: y = 5/3x + 1

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Related Questions

Which of the following is equivalent to...

Answers

Answer:

D

Step-by-step explanation:

y = 2x + 5

Solve the product 2(x+4)

y+3=2x+8

2 We need to isolate the dependent variable y, we can do that by subtracting 33 from both sides of the equation

y=5+2x

I hope this helps ?

The table shows the gallons of water in a pool over time.

A two column table with six rows. The first column, Time in minutes, has the entries, 0, 1, 2, 3, 4, 5. The second column, Water in Pool in gallons, has the entries, 50, 44, 38, 32, 26, 20.

Choose the term that describes the slope of the line of a graph representing the data in the table.

The slope of a line graphed to represent the volume of water in a pool over time would be described as
.

Answers

Answer:

6 gallons per minute

Step-by-step explanation:

Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is  

Q = a + bt ........... (1)

Now, Q(t = 0) is given to be 50 gallons.

So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).

Now, two points on the graph are (0,50) and (1,44).

So, the slope = b =  = - 6 gallons per minute.

Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)

The slope of the line graph representing the data would be described as "negative" or "decreasing."

We have,

The slope of a line represents the rate of change between two variables.

In this case, the variables are "Time in minutes" and "Water in Pool in gallons.

" The slope of the line graph representing this data would be described as "negative" or "decreasing."

This is because as time increases (going from 0 to 5 minutes), the amount of water in the pool is decreasing (going from 50 gallons to 20 gallons).

When the slope of a line is negative, it indicates a decreasing trend or a decrease in the value of one variable as the other variable increases.

Thus,

The slope of the line graph representing the data would be described as "negative" or "decreasing."

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ3

Going to need help with a bit more of these.. thanks brainly :)

Answers

Answer: -6

Step-by-step explanation:

ok so basically rate of change = slope or m

so take two set of points from the table and do the slope equation which is y2- y1 over x2 - x1 (i can't really do equations in brainly bc i'm new so sorry but u can search up the equation)

so in this case, let's do the points (3, -15) & (4, -21)

now let's plug those values into the equation

so - 21 + 15 = -6 and 4 - 3 = 1

now u would simplify or divide so -6 divided by 1 = -6 so that's it! hope this helps!

Helpp mmeee pleaseeeee !!
.

Answers

Answer:

the answer is 6

Step-by-step explanation:

There are 8.7 X 10^3 tiny
insects living in each square
foot of a field and the field
has 6 X 10^2 square feet.
How many insects are living in
the field?

Answers

52.2 × 10⁵

Step-by-step explanation:

(8.7 × 10³) × (6 × 10²)

= 8.7 × 6 × 10³⁺²

= 52.2 × 10⁵

Further more :

5,220,000

What is the volume of 7cm 4cm 2cm

Answers

Answer:

7 x 2 x 3 = 42 cm3

Step-by-step explanation:

i hope its right

stan got7

Answer: 56cm^3

To find the Volume of a shape we do…
Base * Height * Length

In this case these value will be
7cm * 4cm * 2cm = 56cm^3

What is a common mistake for finding slope from 2 points

Answers

Answer:

A common mistake is doing x2-x1/y2-y1 instead of the correct slope formula which is y2-y1/x2-x1

Step-by-step explanation:

I need help with this question please

Answers

Answer:

no understand I live in myanmar .I donot know mathamatic

−3.45÷(−15) Write your answer as a decimal. Thank you

Answers

Answer:

0.23

−3.45÷(−15)=0.23

Answer:

0.23

Step-by-step explanation:

-3.45÷(-15)=0.23

7. What is the radius of a circle whose area is 154 square centimeters?​

Answers

Answer:

7.001 cm

Step-by-step explanation:

A = pi r^2

154 = pi r^2

r^2 = 154/pi

r = sqrt(154/pi)

r = 7.001

Answer is 7.001. (Radius)

If Steve can’t decide what bank to take a loan from, what banking service would make a bank a better option than the others?

0% financing
online banking
fee-free checking
overdraft protection

Answers

Answer:

Fee-free banking

Step-by-step explanation:

Answer:

fee free checking

Step-by-step explanation:

PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!

Answers

Answer 45^(1/2)

Step-by-step explanation:

Use the pythagorean theorem to calculate the distance of the hypotenuse formed by the two siz=des that can be calculated from the given 2 points.  X is 3: (-2 -(-5)) = 3

y is 6: (9-3) = 6

We want the hypotenuse:  z^2 = x^2  + y^2

z^2 = 9 + 36

z = [tex]\sqrt45}[/tex]

It asks for the exact answer, so 45^(1/2) sems to be the only way to express this.

If you run 15 laps per practice, how many practices will it take you to run 30 laps?


CAN YOU GUYS PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

First you divide 30 by 15 because you are finding out how many practices it takes to run 30 laps.

30 divided by 15 = 2

It will take 2 laps to run 30 laps.

Answer: 2

Answer:

1 round = 15 laps

? round = 30 laps

30 / 15 × 1 = 2 rounds

Justify each step of this inequality by stating the property that was used to get to each step.
Given: -4(k+5)<15-11k + 3k Property used:
Step 1: -4(k+5)<15-11k+3k Step 1:
Step 2: -4k(k+5)<15-8k Step 2:
Step 3: 4k - 20 <15 Step 3:
Step 4: 4k<35 Step 4:
Step 5: k<8.75 Step 5:

Answers

Answer:

Step-by-step explanation:

step 1 simplified like terms -11k +3k =8k

step 2 incorrect should be -4k -20 on the left side distributive property

step 3 added 8k to each side

step 4 added 20 to each side

step 5 divided each side by 4

What is the greatest common factor of 10 and 6?

Answers

Answer:

2

Answer: GCF of 6 and 10 is 2.

square root of 576 with process​

Answers

Step-by-step explanation:

here you go:

√24•24= 24

√576=24

[tex] = \sqrt{576} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 } \\ = 2 \times 2 \times 2 \times 3 \\ = 24[/tex]

Check : 24 ×24 = 576

° The square root of 576 is 24.....

WHAT Pattern WOULD YOU expect when two variables are related BY
a Linear modeL WITH A POSITIVE SLope?

Answers

Answer:

an ascending straight line graph is linear and has a positive slope when y is more than x or the same, when y appears less than x in slope it becomes less steeper but when all slopes are positive so are x and y relationship.

Step-by-step explanation:

You can also have a positive slope ascending straight line to a constant straight line, this becomes a change simply as and when the velocity changes.

Since the velocity vs time graph is a straight line, the secant line will always coincide with it. So, the slope of the secant line is always equal to the slope of the graph, meaning that the average acceleration is always equal to the constant acceleration. Velocity vs time graph consisting of an ascending line.

Simplify the expression.
(5-5i)-(-6-3i)

Answers

Answer:

11-2i

Step-by-step explanation:

Distribute the negative

5-5i+6-3i

Combine like terms

11-2i

Hope this helped!!

Have a nice day!

Answer:

[tex]\boxed{\sf 11-2i}[/tex]

Step-by-step explanation:

[tex]\sf (5-5i)-(-6-3i)[/tex]

Opposite of -6 - 3i is 6+3i:

[tex]\sf 5-5i+(6+3i)[/tex]

Combine real and imaginary numbers 5-5i and 6+3i:

[tex]\sf 5+6+(-5+3)i[/tex]

Add 5 to 6, and -5 to 3:

[tex]\sf 11-2i[/tex]

_______________________

1/5 oz = how many lb

Answers

Answer:

0.03125

Step-by-step explanation:

formula:

divide the mass value by 16

Answer:

1 pound

Step-by-step explanation:

Can someone tell me the answer and explain it please

Answers

Answer:

x^2 - y^2

Step-by-step explanation:

In the following problem, we can use the distributive property to simplify:

(x + y)(x - y)

We can start by multiplying the x's together, giving us x^2.

Next is the first x multiplied by -y in the second parenthesis. This gives us -xy.

Now, we can move on the the y in the first parenthesis: y times x(in the second parenthesis) is xy.

Lastly, we have y times -y which gives us -y^2.

(This process is shown in the image attached)

If we aa these together we get:

x^2 - xy + xy - y^2

If we add -xy and xy it would be 0 because if you add a number with it's opposite, they cancel out. We are just left with x^2 - y^2.

Find the area of the shaded region.

Answers

Answer:

I think it's 2 or something more yo.

Step-by-step explanation: And to be honest I'm estimating so yeah.

A group of 47 children, with some adults, travelled by coach on a trip to a zoo.
The total cost of the trip was $591.
The entrance fee was $12.35 for each adult and $8.75 for each child.

The cost of hiring the coach was $118
How many adults were there in the group?
You must show your working.

Answers

Answer:

5 adults

Step-by-step explanation:

plug in all numbers and calculate

Ok so the answer is 5 adults.
The total cost of the trip is $591 and the cost of hiring the coach was $118. So now what you did is that you subtract $591-$118=$473.
For entrance fee was $8.75 per each child and there was a total of 47 children. Then multiply 47x8.75 and you get $411.25. And then subtract 473 by 411.25 and which will be 61.75. And then the cost of each adult is $12.35. Then you divide 61.75 by 12.35.
Then when you divide it and the answer should be 5.
Which means that the amount of adults inside the group was 5.
Hope this helps!

Shahruk plays four games of golf. His four scores have a mean of 75, a mode of 78 and a median of 77. Work out his four scores.​

Answers

Answer:

the four scores are 68, 76, 78, and 78.

Step-by-step explanation:

The mean of the four scores is 75.

So, the sum of all the four scores is equal to the product of mean and number of scores. Therefore,

Sum of scores , 'S' = Mean  Number of scores.

Now, let one of the middle scores be 'x'.

Since the number of scores is even, the median is half of the sum of the two middle terms.

Median is given as 77 and mode is 78.

So, median is given as:

As 76 is smaller than 78.

So, the 2nd score is 76 and third score is 78.

Since mode is 78, it has to be repeated more than once. So, the fourth score will also be 78.

Now, let the first score be 'y'. Therefore, the sum is given as:

Therefore, the four scores are 68, 76, 78, and 78.

Helppp me plssss hshshshgsgsggsgagagsgsggsgshsjsa

Answers

Answer:

A and B

Step-by-step explanation:

2m-3<-9

2m<6

m<-3

what is 8.9×10^3 in expanded form​

Answers

Answer:

8900

Step-by-step explanation:

10^x:

x is how many zeros there are after the number being multiplied by the 10^x.

Answer:

8900

Step-by-step explanation:

When you multiply the 10^x how ever many zeros if how many times you move the decimal place.

I'm doing Sequences I'm looking for Constant rate of change, equation and term

Answers

Do what you think is good first and try ti bring it all together!  :)

If you simplify 4.5 − x − 3.6 + 2x, your answer will be __________.

Answers

Answer:

x + 0.9

Step-by-step explanation:

sorry if I'm wrong

Answer:

Step-by-step explanation:

4.5 − x − 3.6 + 2x, group like terms

2x -x +4.5 -3.6 , combine like terms

x + 0.9

Work out the Volume of this prism

Answers

Answer:

119cm³

Step-by-step explanation:

A five question multiple choice quiz has five choices for each answer. Use the random number table provided, with O's representing incorrect answers, and 1's
representing correct answers to answer the following question: What is the experimental probability of correctly guessing at random exactly one correct answer?

Answers

Answer:

You will need to count the amount of 0's and total them left to right = per question and total them top to bottom for answering a total

answering b total answering c total etc..

This creates line of 5 totals at the bottom of table and other totals per question = amount of questions x total.

The experimental probability is setting all 1/5 (1 answered question and multiplying it by the inverse of 4/5 non answered questions =  1/5  = 1/25

p) 1/5 x 1/5 = 1/25

Step-by-step explanation:

Write a linear function f with f (5) = 7 and f (-2) = 0

Answers

Answer:     y  =  x + 2

Step-by-step explanation:

Determine points

We can use  f (5) = 7 and f (-2) = 0 to write two points.

(5 , 7)  &  (-2 , 0)

Find Slope

Slope  = (y₂ - y₁) ÷ (x₂ - x₁)

           = (7 - 0) ÷ (5 - (-2))

           = 1

       

Write the equation

equation in point-slope form (y - y₁) = m (x - x₁)

                                                (y - 0) =  1 (x - (-2))

                                                      y  =  x + 2

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