What is the rate change of the linear function that has a graph that passes through the points (2,9) (-1,3)

Answers

Answer 1
Slope: (y2-y1)/(x2-x1)
(3-9)/(-1-2) = -6/-3 = 2
The rate of change is 2
Answer 2

The linear function is y = 3x + 6. Then the rate of change of the linear function will be 3.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The linear equation that is passing through the points  (2,9) and (-1,3).

Then we have

y - 3 = [(3 - 9)(-1 - 2)] (x + 1)

y - 3 = (-6) / (-2) (x + 1)

y - 3 = 3x + 3

    y = 3x + 6

Then the rate of change of the linear function will be

y' = 3

More about the differentiation link is given below.

https://brainly.com/question/24062595

#SPJ2


Related Questions

----------- are used to represent an unknown quantity in a mathematical expression.

HELP I WILL GIVE BRAINLEIST

Answers

A letter or symbol is used to represent an unknown quantity

Answer:

variables

Step-by-step explanation:

What are the coordinates of point S?


A. -3/4, 1/2
B. -1/2, -3/4
C. 1/2, -3/4
D. 3/4, 1/2​

Answers

Answer:

i think it's C.

Step-by-step explanation:

i really hope I'm right :/

It’s c the right answer it’s C

helppppppppp:)))))))))))

Answers

Answer:

bottom one

Step-by-step explanation:

9a-b-2a-10b      add like terms

7a-11b

So to answer this and find the simplest form, you will have to combine common terms!

9a-2a=7a
-10b-b=-11b

When you put both answers into an equation you will get: 7a-11b which means your answer is D. Hope this helps!

Please give brainliest❤️

help look at image pls

Answers

Ok there is no image thx for the free points tho-

Answer:

ok coool

Step-by-step explanation:

i have nothing

solve In 2010, the percentage of assisted living residents who had both heart disease and depression was 9%, the percentage with only heart disease was 25%, and the percentage with either condition was 48%. What percentage of assisted living residents had only depression

Answers

Answer:

The percentage of assisted living residents had only depression

P(D) =0.32

Step-by-step explanation:

Explanation:-

Given  the percentage of assisted living residents who had both heart disease and depression was 9%

Let The event 'H' be the event of heart disease and 'D' be the event of depression

P(H ∩D) = 9% =0.09

The  percentage with only heart disease was 25%

P(H) = 0.25

The percentage with either condition was 48%.

P(H∪D) = 48%=0.48

By addition theorem on probability

       [tex]P(H UD) = P(H) +P(D) - P(H n D)[/tex]

              [tex]0.48 = 0.25 + P(D) -0.09[/tex]

            P(D) = 0.48 -0.16

            P(D) = 0.32  

The percentage of assisted living residents had only depression

P(D) =0.32

A six controller thumb covers costs $2.10. At this rate, how much should 32 thumb covers cost? round to the
nearest cent.

Answers

Answer:

67 dollars and 20 cents

Step-by-step explanation:

2.10 per thumb cover

32x2.10=67.2

Answer:

if a six controller thumb cover cost 2.10 then you multiply 2.10 by 5 (because if you need 32 then you divide 32/6 and you get 5) 2.10 x 5 would equal 10.50 so that's your answer 10.50

Step-by-step explanation:

23x + 18 - 12x = 62​

Answers

Answer:56/23

Step-by-step explanation:

23x +18-12=62

23x+6=62

23x=56

X=56/23

Answer:

x=4

Step-by-step explanation:

Group like terms

23x-12x+18=62

add similar elements

11x+18=62

subtract 18 from both sides

11x+18-18=62-18

simplify

11x=44

divide both sdies by 11

11x/11=44/11

simplify

x=4

if nth term of the AP 3,10,17.... is same as the nth term of the AP 63,65,67.... find n.​

Answers

Answer:

n = 13

Step-by-step explanation:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d

[tex]a_{n}[/tex] = 3 + 7(n - 1) (for the first AP)

[tex]a_{n}[/tex] = 63 + 2(n - 1) ( for the second one)

3 + 7(n - 1) = 63 + 2(n - 1)

3 + 7n - 7 = 63 + 2n - 2

5n = 65

n = 13

Answer:

n = 13

Step-by-step explanation:

AP = 2, 10, 17 ...

AP1  = 63,65, 67

Find the general term of AP

L = a + (n - 1)*d

a = 2

d = 7

Find the general term of AP1

L = 63 + (n - 1)*d

a  = 63

d = 2

Equation to equate both of them

L = 3 + (n-1)7

L1 = 63 + (n - 1)*2

Equate L and L1

2 + (n - 1)*7= 63 + (n-1)*2           Subtract 3 from both sides

(n - 1)*7 = 63 - 3 + (n - 1)*2         Remove the brackets

7n - 7 = 60 + 2n - 2                   Combine the like terms on the right

7n -  7 = 58 + 2n                        Subtract 2n from both sides

7n - 2n -7 = 58                          Add 7 to both sides

5n = 58 +7                                Divide by 5

n =   65/5

n = 13

So the 13th term on each series is equal.

L_13 = 3 + (13 - 1)*7

L_13 = 3 + (12)*7

L_13 = 87

=====================

L'_13 = 63 + (13 -1 ) * 2

L'_13 = 63 + 12*2

L'_13 = 87

Considering the 9th slab of tax structure of Pakistan for 2020-2021, Where the taxable salary income exceeds Rs. 12,000,000 but does not exceed Rs. 30,000,000 the rate of income tax is 2,345,000 + 27.5% of the amount exceeding Rs. 12,000,000. If we create a mathematical Model of the tax structure, the function for this particular slab will be:


0.275x


0.275x-12000000


0.275x-955000


0.275x-2345000

Answers

9514 1404 393

Answer:

  (c)  0.275x-955000

Step-by-step explanation:

The amount exceeding 12,000,000 can be described by ...

  x - 12,000,000

Then 27.5% of that is ...

  0.275(x -12,000,000) = 0.275x -3,300,000

Adding 2,345,000 to that gives the expression ...

  2,345,000 +(0.275x -3,300,000) = 0.275x -955,000

Barry has 7 coins, all of which are quarters and nickels. In all, they're worth $1.35. How many of each kind of coin does Barry have?

Answers

Answer:

5 quarters

2 nickels

Step-by-step explanation:

Answer:

5 quarters and 2 nickels.

Step-by-step explanation:

One quarter is equal to 25. 25x5=125. So, it would be 5 quarters because you wouldn't be able to go any farther without going over. One nickel is 5 and if you have 2 nickels you get 10. 10+125=135. So, there will be 2 nickels and 5 quarters.

Hope this helped!

8
7
6+
5
4 3
N
1
-8 -7 -6 -5 4ß -2
-1
1
2 3 4 5 6 7 8
-2
-3
-5
-6
-7
-8+
The system of equations has
O one solution
no solution
infinitely many solutions

Answers

Answer:

no bro

Step-by-step explanation:

no

I need the answers for #7 and #8

Answers

Answer:

7. x=9, y=7 The first number is 9, and the second number will be 7.

8. h= $2.25 c= $1.19 The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.

Step-by-step explanation:

7. First lets define the variables: x=first number; y=the second number

Now we set up a system of equations:

Eq. 1. 2x+y=25  Eq. 2. 3x-y=20

Now we solve (I'm going to use subsitution you can use wtv you are comfortable with)

1. 2x+y=25      1. y=25-2x

Subsitute.

2. 3x-y=20       2. 3x- (25-2x)=20

Simplify.

3x-25+2x=20        5x-25=20          5x=45      x=9

Now solve for y by subsituting x into one of the equations.

1. 2x+y=25      2(9)+y=25       18+y=25      y= 7

The first number is 9, and the second number will be 7.

8. Define the variables.

h= cost of a hotdog; c=cost of a bag of chips

System of Equations:

Eq. 1. 5h+3c=14.82 Eq. 2. 7h+6c=22.89

Now solve.

1. 5h+3c=14.82  2. 7h+6c=22.89

Using subsitution...

h=2.25 c=1.19

The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.

7. What is the smallest angle in the triangle below?

Answers

Angle A is the smallest angle! You can see it visually because the angle on the right goes up more than on A

Answer:

Angle a is the smallest

If 21% = 96 students how many students is 1%.

Or you can help with the whole question

Answers

Answer:

1% are 5 students

Step-by-step explanation:

21% is 96 then

1% is X

X = 1*96 / 21

X = 5

Write a function rule that best models the data in the table. (0,3), (1,4),(2,7,(3,12)​

Answers

I need points I am very sorry 839374

Let f(x) = 2x - 5 and g(x) = 3x. Perform the indicated
operation.

g(x)/f(x)

SOMEONE HELP PLZ

Answers

Answer:

f{3x}=6x-5

Step-by-step explanation:

There isn't really much to do: if you perform the division between function you get a new function:

[tex]h(x)=\dfrac{g(x)}{f(x)}=\dfrac{3x}{2x-5}[/tex]

What is an equation of the line that passes through the points (4,-2) and (8,3)?​

Answers

Answer:

[tex]y-4=\frac{5}{4} (x+2)[/tex]

Step-by-step explanation:

First you can find the slope of the line that would pass through those two points using the formula:

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{3-(-2)}{8-4}[/tex]

m=5/4

Now you can just plug the slope and one of the points into point-slope form for an equation of the line that will pass through both points. You can choose either point here: I'll just use the first one.

So,

[tex]y-4=\frac{5}{4} (x+2)[/tex]

(don't leave out the parentheses!)

The equation of the line (4,-2) and (8,3) is Y=5/4x-7

Patti went to the bakery. she bought a loaf of bread for 3.49, 6 muffins that cost 1.25 each, and a bottle of juice for 1.75. she gave the cashier a 20$ bill


how much should Patti receive? write equations to show ur work

!HELLp NoW! Asap

Answers

Answer:

$ 7.26

Step-by-step explanation:

You're welcome :)

Answer: $7.26
Step by step: 1.25 x 6= 7.5
7.5 + 3.49= 10.99
10.99 + 1.75= 12.74
20 - 12.74= 7.26

find the product of 4y²x(xy-2x²)​

Answers

4y²x(xy-2x²)​=4y³x²-8y²x³

Answer:

4y³x² -  8x³y²

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Exponential Properties

Step-by-step explanation:

Step 1: Define

4y²x(xy - 2x²)

Step 2: Multiply

Distribute:                    4y²x(xy) - 4y²x(2x²)Multiply:                       4y³x² -  8x³y²

Each side of a square is (7 + 3x) units. Which is the perimeter of the square?

Answers

Answer:

28+12x

Step-by-step explanation:

The perimeter of a square is 4s where s is the side lenght. In your case s is 7+3x so the perimeter will be (28+12x).

The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ​ft, the liquid boils at 199.42°F. At an altitude of 4700 ​ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the​ liquid, in degrees​ Fahrenheit, in terms of altitude​ a, in feet. What is the boiling point of the liquid at 2500 ​ft?
Write an equation.
b=nothing

Answers

Answer:

The boiling point of the liquid it 210.25°F

Step-by-step explanation:

Linear Modeling

Some real-life events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to build the model and predict unknown behaviors.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

We are given the following points (H,A) where A is the altitude and P is the boiling point of a certain liquid: (8200,199.42) and (4700,206.07)

Applying the formula:

[tex]\displaystyle B-199.42=\frac{206.07-199.42}{4700-8200}(A-8200)[/tex]

Calculating:

[tex]\displaystyle B-199.42=\frac{6.65}{-3500}(A-8200)[/tex]

[tex]\displaystyle B-199.42=-0.0019(A-8200)[/tex]

[tex]\displaystyle B-199.42=-0.0019A+15.58[/tex]

[tex]\displaystyle B=-0.0019A+15.58+199.42[/tex]

The equation is:

[tex]\displaystyle B=-0.0019A+215[/tex]

Finally, we calculate the boiling point at A=2500 ft:

\displaystyle B=-0.0019*2500+215

B = 210.25°F

The boiling point of the liquid it 210.25°F

Four boxes of cookies cost $18 how much does one box of cookies cost

Answers

Answer:

$5.50

Step-by-step explanation:

Answer:

You would get 4.5 as your answer or 4 1/2

Step-by-step explanation:

You literally just do 18/4

And you get your answer

Juan rides his bike 97 miles to and from school each month.

Part A
How can you use compensation to find the number of miles he rode in 6 months?
A.


97 is close to 100, so multiply 6 × 100 and then add 6 × 3.
B.


97 is close to 100, so add 6 + 100 and then multiply by 6 + 3.
C.


97 is close to 100, so add 6 + 100 and then add 6 × 3.
D.


97 is close to 100, so multiply 6 × 100 and then subtract 6 × 3.

Answers

Answer:

              cvfgrtyukjmn

Step-by-step explanation:

1) Find the sum 4.5 + 5.9

Answers

Answer:

Step-by-step explanation:

Steps are below

step 1

4.5 + 5.9  equation

step 2

4.5 + 5.9  add them together by moving the points

4.5 + 5.9

10.4

Noah picked 3 kilograms of cherries. Mai picked half as many cherries as Noah. How many total kilograms of cherries die Mia and Noah pick together?

Group of answer choices

Answers

Answer:

cherries picked by Noah =3kg

Mia picked = 1/2*3 = 1.5kg

Total cherries picked together = 3+1.5 = 4.5kg

Step-by-step explanation:

Answer:

4.5 or 4 1/2. Based on the given conditions, formulate: 3 + 3 / 2 Find common denominator and write the numerators. ++++=4.5

Step-by-step explanation:

CORRECT THIS ANSWER MARK A BRAIN LESS

Which quadratic function is shown in the graph?
A) f(x) = x2

Answers

Answer: a I think

Step-by-step explanation:

Which three quantities are needed in order to calculate the value of the Y-intercept for the linear
regression prediction equation?
The slope, the mean of X, and the total number of observations in the data
The slope, the mean of Y, and the total number of observations in the data
The mean of X, the mean of Y, and the total number of observations in the data
The mean of X, the mean of Y, and the slope​

Answers

9514 1404 393

Answer:

  (d)  The mean of X, the mean of Y, and the slope

Step-by-step explanation:

A point on the linear regression curve is (mean(x), mean(y)). With that point and the slope, the equation of the line can be found. That equation will reveal the y-intercept.

  y-intercept = mean(y) -slope·mean(x)

12. A quality control procedure at a manufacturing facility involves selecting 5 items at random from a large batch, and then accepting the entire batch if at least 3 of the selected items pass inspection. If in reality 80% of all items produced would individually pass inspection, what is the probability that the batch will be accepted

Answers

Answer:

The probability is 0.9421

Step-by-step explanation:

Here, we want to calculate the probability that the batch will be accepted

For it to be accepted, 3,4 or 5 of the items would pass inspection

let p be the probability of a single item

passing the inspection

This probability is 80% = 0.8

Let q be the probability of failing inspection = 2-0.8 = 0.2

The Bernoulli approximation of the probability distribution for 3 passing the inspection out of five will be;

5 C 3 0.8^3 0.2^2 = 0.2048

Next we calculate for 4 out of the five

That will be

5 C 4 0.8^4 0.2 = 0.4096

Finally we calculate for all 5

5 C 5 0.8^5 0.2^0 = 0.32768

So the probability that the batch will be accepted will be;

0.32768 + 0.4096 + 0.2048 = 0.94208

Using the binomial distribution, it is found that there is a 0.9421 = 94.21% probability that the batch will be accepted.

For each item, there are only two possible outcomes, either they pass inspection, or they do not. The probability of an item passing inspection is independent of any other item, hence the binomial distribution is used to solve this question.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

5 items are selected, hence [tex]n = 5[/tex].80% of all items produced would individually pass inspection, hence [tex]p = 0.8[/tex].

The probability that the batch will be accepted is:

[tex]P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.8)^{3}.(0.2)^{2} = 0.2048[/tex]

[tex]P(X = 4) = C_{5,4}.(0.8)^{4}.(0.2)^{1} = 0.4096[/tex]

[tex]P(X = 5) = C_{5,5}.(0.8)^{5}.(0.2)^{0} = 0.3277[/tex]

Then:

[tex]P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5) = 0.2048 + 0.4096 + 0.3277 = 0.9421[/tex]

0.9421 = 94.21% probability that the batch will be accepted.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Theo borrows $8,000 for college expenses. He will pay a total of $10,280 after 6 years. What percent of interest did Theo pay?


i will give you 10 coins

Answers

9514 1404 393

Answer:

  4.75%

Step-by-step explanation:

When simple interest is charged, the payback amount is ...

  A = P(1 +rt) . . . . for annual rate r and a term of t years

Using the given values, we can solve for r.

  10280 = 8000(1 +6r)

  1.285 = 1 +6r . . . . . . . . divide by 8000

  0.285 = 6r . . . . . . . . . . subtract 1

  0.285/6 = r = 0.0475 = 4.75% . . . . . . divide by 6; express as %

Theo paid interest at the rate of 4.75%.

Please help me slove this problem
7 = 4x - 5

Answers

Answer:

x = 3

Step-by-step explanation:

7 = 4x - 5

7 - 4x = -5

-4x = -5 - 7

-4x = -12

x = 12 ÷ 4

x = 3

Answer:

×=3

Step-by-step explanation:

7=4×-5

7-4×=5

-4×=-5-7

-4×=-12

×=12÷4

×=3

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