What is the rate of change for the line that goes through the points (8,14) and (11, 19.25)​

Answers

Answer 1

Answer:

1.75

Step-by-step explanation:

The rate of change for the line that goes through the points (8,14) and (11, 19.25)​ is known as the slope expressed as;

slope m = y2-y1/x2-x1

Substitute the coordinate pairs into the formula;

m = 19.25-14/11-8

m = 5.25/3

m = 1.75

Hence the rate of change for the line is 1.75.


Related Questions

Please could you show the working out as well:)

Answers

Answer:

( [tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] ) is closer to [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2}{15}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{2 + 5}{15}[/tex] = [tex]\frac{7}{15}[/tex]

[tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]\frac{18-7}{21}[/tex] = [tex]\frac{11}{21}[/tex]

[tex]\frac{7}{15}[/tex] , [tex]\frac{1}{2}[/tex] , [tex]\frac{11}{21}[/tex]

LCD (2, 15, 21) = 210

[tex]\frac{98}{210}[/tex] , [tex]\frac{105}{210}[/tex] , [tex]\frac{110}{210}[/tex]

105 - 98 = 7

110 - 105 = 5 ⇒ [tex]\frac{11}{21}[/tex] is closer to [tex]\frac{1}{2}[/tex] ⇒ ( [tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] ) is closer to [tex]\frac{1}{2}[/tex]

what is an equation for the translation of y=|x| left 7 units?

Answers

Answer:

y,x-7

Step-by-step explanation:

I think this is it

Answer:

y=x-7

Step-by-step explanation:

Select all the statements that are true for the graph shown.

Submarines descent graph of a diagonal line on a coordinate plane going down and to the right with Time in seconds on the x-axis and Height above Sea Level in feet on the y-axis. The line begins at the origin and passes through point 4 comma negative 12.



The relationship is proportional.
The rate of change is −32
The rate of change is −83
The relationship is linear.



The equation of the line is y = –3x.

Answers

Answer:

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Step-by-step explanation:

The line in the question passes through origin and (4,-12).

The rate of change of the line is

[tex]m=\dfrac{-12-0}{4-0}\\\Rightarrow m=\dfrac{-12}{4}\\\Rightarrow m=-3[/tex]

The rate of change of the line or slope of the line is -3

Equation of the line is given by

[tex](y-0)=-3(x-0)\\\Rightarrow y=-3x[/tex]

This means that the relationship is linear.

If we take any value of x then there will be only one value of y this means that the relationship is proportional.

So the following statements are true

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Answer:

Step-by-step explanation:

Proportional

Linear

Equation of line is y=-3x

Suppose that a population of bacteria triples every hour and starts with 700 bacteria.
(a) Find an expression for the number n of bacteria after t hours.
(b) Estimate the rate of growth of the bacteria population after 1.5 hours.

Answers

Answer:

(a) An expression for the number n of bacteria after t hours is n(t)=700*[tex]3^{t}[/tex]

(b) The rate of growth of the bacteria population after 1.5 hours is 3,996 number of bacteria per hour.

Step-by-step explanation:

An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:

f(x)=aˣ

being a real positive.

When 0 <a <1, then the exponential function is a decreasing function and when a> 1, it is an increasing function.

An exponential function allows us to refer to phenomena that grow faster and faster, such as population growth.

In that case, the formula used to model the growth of a population is given by:

P(t)=P0*[tex]a^{t}[/tex]

where the function P (t) grows exponentially and represents the quantity of the population at time t; a represents the constant of growth or decrease and P0 represents the initial population at time zero.

In this case:

P0=700a=3

Replacing, you get:

P(t)=700*[tex]3^{t}[/tex]

An expression for the number n of bacteria after t hours is n(t)=700*[tex]3^{t}[/tex]

The derivative of this function P (t) is:

n'(t)=700*ln(3)*[tex]3^{t}[/tex]

and reflects the growth rate of the bacteria population.

So, the rate of growth of the bacteria population after 1.5 hours is:

n(1.5)=700*ln(3)*[tex]3^{1.5}[/tex]

Solving, you get:

n(1.5)≅ 3,996

The rate of growth of the bacteria population after 1.5 hours is 3,996 number of bacteria per hour.

Find the solution of the second-order linear differential equation that satisfies the given initial conditions. y'' + 6y' + 9y = 0 y(0) = 0 y'(0) = 1

Answers

Answer:

The solution of this differential system is [tex]y(x) = x\cdot e^{3\cdot x}[/tex].

Step-by-step explanation:

This second-order differential equation is homogeneous and linear of the form:

[tex]y'' + p\cdot y' +q\cdot y = 0[/tex] (1)

Where:

[tex]p[/tex] - First-order constant coefficient, dimensionless.

[tex]q[/tex] - Zero-order constant coefficient, dimensionless.

Whose characteristic polynomial is:

[tex]\lambda^{2}+p\cdot \lambda + q = 0[/tex] (2)

Where [tex]\lambda[/tex] contains the roots associated with the solution of the differential equation.

If we know that [tex]p = 6[/tex] and [tex]q = 9[/tex], the roots of the characteristic equation are, respectively:

[tex]\lambda^{2}+6\cdot \lambda + 9 = 0[/tex]

[tex](\lambda +3)\cdot (\lambda + 3) = 0[/tex]

Which means that [tex]\lambda_{1} = \lambda_{2} = 3[/tex] and the solution of the differential equation is of the form:

[tex]y(x) = e^{3\cdot x}\cdot (c_{1}+c_{2}\cdot x)[/tex] (3)

Where [tex]c_{1}[/tex] and [tex]c_{2}[/tex] are integration constants.

The first derivative of the equation above is:

[tex]y'(x) = 3\cdot e^{3\cdot x}\cdot (c_{1}+c_{2}\cdot x)+c_{2}\cdot e^{3\cdot x}[/tex] (4)

Now, if we get that [tex]y(0) = 0[/tex] and [tex]y'(0) = 1[/tex], then the system of equations to the solved is:

[tex]c_{1} = 0[/tex] (3b)

[tex]c_{1}+c_{2} = 1[/tex] (4b)

The solution of this system is: [tex]c_{1} = 0[/tex], [tex]c_{2} = 1[/tex]. Therefore, the solution of this differential system is [tex]y(x) = x\cdot e^{3\cdot x}[/tex].

jim koslo earns $156,200 annually as a plant manager. He is married and supports 3 children. The state tax rate in his state is 3.55% of taxable income. What ammount is withheld yearly for state income tax?

Answers

Answer:

44

Step-by-step explanation:It's 44 because 156,200 divided by 3.55=44.

If jim koslo earns $156,200 annually as a plant manager. The state tax rate in his state is 3.55% of taxable income. then 5545.1 is the amount is withheld yearly for state income tax

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

jim koslo earns $156,200 annually as a plant manager.

The state tax rate in his state is 3.55% of taxable income.

We need to find the  amount is withheld yearly for state income tax

We need to find 3.55% of 156200

First we have to convert 3.55% to decimal by dividing with 100

3.55/100=0.0355

Now multiply 0.0355 with 156200

0.0355×156200

5545.1

Hence 5545.1 is the amount is withheld yearly for state income tax.

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evaluate the expression when x=4/5 and y=-2/9: 3y-x

Answers

Answer:

-2/15

Step-by-step explanation:

The slope- intercept form of the equation of a line is y = mx + b. When the formula is solved for m, the result is
1. y-x/b
2. y - bx
3. y-b/x
4. x/y - b

Answers

Y = mx + b
Subtract b from both sides
Y-b = mx
Divide by x to make m alone
m = y-b/x

Select the expression equivalent to (-133–15)-(-9x + 16).
А
4x - 31
B
--4x + 1
с
-4x - 31
D
-22x-31

Answers

I think it’s B if you get it wrong I’m sorry .... I really tried


Sorry

At a carnival, Tammy bought 9 packs of 17 tickets each. She has used 36 of the tickets so far. How many tickets does she have left?

Answers

Answer: 117 tickets left

Step-by-step explanation:

The answer is 117

9x17=153
153-36=117

what is 25+30 pleas help me

Answers

Your answer would be 55

At a university, Todd deposits $100 into his cafeteria account. He spends $5 on dinner every day. Seth deposits $140 into his account. He spends $5 on lunch and $5 on dinner every day. After how many days will Todd and Seth have the same amount of money in their accounts? 16 8 4 2

Answers

Answer:

The answer is 8 days.

Step-by-step explanation:

By applying the correct equations to Todd and Seth's balances for each day we end up with Todd and Seth having an equal balance in their accounts by day 8, alternatively, we can show that Todd and Seth have the same amount of money in their accounts by day 8 with this table

Day - Todd - Seth

1     -  95     - 130

2    -   90    - 120

3   -    85    -  110

4    -   80    -   100

5    -  75    -   90

6  -    70   -    80

7  -    65    -   70

8 -     60   -    60

given that a=2 and b=3, what is (ab)^2

Answers

Answer:

(ab)² = 36

Step-by-step explanation:

Plug in 2 for a and 3 for b:

(2·3)²

Multiply 2 and 3:

Square the number:

36

(ab)² is the same as writing:

(a x b)²

We know that a is 2 and that b is 3, so we substitute these into the expression:

(2 x 3)²

Then because of the Order of Operations we multiply INSIDE the brackets first:

(6)²

And when we square (²) a number we are simply multiplying it by itself:

(6)² = 6 x 6

So our final answer is:

6 x 6 = 36

PLZ HELP I BEG U!!!!!! ILL MARK U BRAINLIEST
Create a story using the inequality symbols , ≤,≥,≠ . the story must be creative, detailed, coherent, and written clearly. it does not have to be solely math related.

Answers

Answer:

T_T said to 个_个: Hallo, I am so happee!!!

Step-by-step explanation:

Plz mark as Brainliest!

Clara’s school awarded 1900 raffle tickets as incentives. The principal will draw one winning ticket. The winner will receive an iPad pro. Clara received 5 tickets for good attendance, 4 for making the honor roll, and 8 for tutoring other students.
What is the probability that one of Clara’s tickets will be selected by the principal? (write your answer as a %, once it is in % form round to the hundredths place)

Answers

Answer:

0.89%

Step-by-step explanation:

Given that :

Total number of raffle tickets = 1900

Total number of Clara's tickets (5 + 4 + 8) = 17

Probability that one of Clara's tickets will be picked :

Probability = (required outcome / Total possible outcomes)

Required outcome = total number of Clara's ticket

Total possible outcomes = total number of raffle tickets

Hence,

P(picking one of Clara's tickets) = 17 / 1900

17 / 1900 = 0.0089473

0.0089473 * 100%

= 0.8947%

= 0.89%

i need help on this question​

Answers

not sure if u need help w the table part but if u do : ¼ x 30 = ¾ cups
amount of syrup for one pancake = ¼ divided by 10 = 1/40 cups

Please help me I don’t understand stand it

Answers

the answer is C, 4!!!



Which of the following offers the least price per ounce of shampoo?
A) $6 for 8 ounces of shampoo
B) $4 for 5 ounces of shampoo
C) $8 for 12 ounces of shampoo
D) $12 for 16 ounces of shampoo

Answers

B because 5/4 = 1.25 per ounce

The required offer is the least price per ounce of shampoo is $8 for 12 ounces of shampoo. Option C is correct.

Given that,
To determine the offer the least price per ounce of shampoo.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.


Here,
A) $6 for 8 ounces of shampoo
6 / 8 = $0.75 per ounces of shampoo

B) $4 for 5 ounces of shampoo
4/ 5 = $0.80 per ounces of shampoo

C) $8 for 12 ounces of shampoo
8/12 = $0.67 per ounce of shampoo

D) $12 for 16 ounces of shampoo
12/16 = $0.75 per ounce of shampoo

Thus, the required offer is the least price per ounce of shampoo is $8 for 12 ounces of shampoo. Option C is correct.

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Suppose that you are asked to pick a card from a deck of 52 cards. Once you have selected a card, you place it face down on the table. You are then asked to selected another card from the deck. Is the event of you picking the first card going to affect the probability of the second card selected, why or why not? Are these events independent or dependent?

Answers

Answer:

Step-by-step explanation:

The second card is influenced by the first only in that you have not replaced the first card. That makes a difference.

1/52 is the probability for the first card.

1/51 is the probability for the second card.

They are independent events. Drawing the 7 of diamonds does not make the chances of drawing the Ace of Spades other than the 7 came first and the probability of getting the Ace is slightly larger.

Step-by-step explanation:

The only way the second card is influenced by the first is if you did not swap out the first card. That alters everything.

The likelihood of getting the first card is 1/52.

The odds of getting the second card are 1/51.

They happen separately. Other than the fact that the 7 came first and the odds of receiving the Ace is a little bit higher, drawing the 7 of diamonds does not increase the chances of drawing the Ace of Spades.

(((click on the image to see it all))))

I need the answers to number 2 and 4 asap​

Answers

Answer:

2.Matrices and Linear Algebra. 2.1 Basics. Definition 2.1.1. A matrix is an m × n array ... aij = 0 i = j. (1b) A diagonal matrix A may be denoted by diag(d1,d2,... ,dn) ... space of A. With r1 (A),...,rm (A) denoting the rows of A the row space

4.Introduces reflections in the x- and y-axes. Demonstrates the ... This leaves us with the transformation for doing a reflection in the y-axis. For this transformation, I'll switch ... Many textbooks don't get any further than this. If these are all the rules ...

A monthly budget with expenses is shown.

MONTHLY BUDGET

for a family of three

in San Antonio, Texas

Rent

$870

Food

$550

PR Child care

$375

Transportation

$480

Utilities

$400

Insurance

$235

Savings

$400

Taxes

$290

Monthly total

Which equation can be used to determine y, the minimum amount of money a family must earn to meet the requirements of this budget for one year?

y = 3600 x 12

y = 3600 + 7

y = 3600 x 4

y = 360052

Answers

Answer:

[tex]y = 3600 * 12[/tex]

Step-by-step explanation:

Given: Breakdown of Monthly Budget

Required

Determine the equation that shows minimum earnings in a year

First, we need to get the sum of the given list of budgets:

[tex]Budget = 870 + 550 + 375 + 480 + 400+235+400 + 290[/tex]

[tex]Budget = 3600[/tex]

The are 12months in a a year; So, the yearly budget (y) is:

[tex]Yearly\ Budget = Monthly\ Budget * Duration[/tex]

[tex]Yearly\ Budget = 3600* 12[/tex]

i.e.

[tex]y = 3600 * 12[/tex]

Please help with my homework

Answers

It's 65. Because you add the other angles and get 90+25 and get 115. 180 -115 = 65.

Answer:

c=65°

Step-by-step explanation:

180-90=90

90-25=65

hopefully this helps :)


What's 15/45 written as a fraction in simplest form
A. 3/15
B.13
C.53
D. 153

Answers

Answer:

None of the above

Step-by-step explanation:

15/45=1/3

Answer:

None of those options lol

Step-by-step explanation:

But the answer is 1/3

What is the estimate of the sum of 165, 123, 376 and 134 using front end estimation? A. 600 B. 700 C. 800 D. 900

Answers

Answer:

A.

Step-by-step explanation:

Sorry, just unexplainable thinking.

At a certain school,5/9 of the students are boys. Today, 2/3 of the boys brought their lunch. What fraction of the students are boys who brought their lunch

Answers

5/6 of the boys brought their lunch.



In order to determine the answer you need to divide 5/9 by 2/3 in which will give you 5/6.

The fraction of the students are boys who brought their lunch is 5/6.

It is required to find the fraction of the students are boys who brought their lunch.

What is fraction?

A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.

Given:

At a certain school, students are boys =5/9

students  are boys brought their lunch=2/3

According to given question we have,

Divide 5/9 by 2/3

[tex]\frac{5/9}{2/3} \\\\\frac{5}{6}[/tex]

Therefore, the fraction of the students are boys who brought their lunch is 5/6.

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x/4-6=2 simplify the following two step equation

Answers

Answer:

First, collect the like terms by one side

x/4=2+6

x/4=8

Then, criss-cross it, which means multiply 4 with 8

x=4×8

x=32

Step-by-step explanation:

I hope this is the answer to your question, if it helped you, please give me brainliest

Y-p=m(x-8) solve for x

Answers

Answer:

x  = Y /m  −  p /m +8

Step-by-step explanation:

The new Xbox series gaming console sells for 499 all units are sold out at stores but can be found online for 34% more than the original price how much would it cost to get it online at the marked up price

Answers

I think Xbox gaming consoles are good

PLS HELP!!! Which statement about numbers is true?

All whole numbers are rational numbers
All rational numbers are integers
All rational numbers are whole numbers
All integers are whole numbers

First to answer will be voted brainliest!!

Answers

Answer:

all integers are whole numbers

all integers are whole numbers !

What is the result of 72 divided by 12? 6 8 9 12

Answers

Answer:

the answer is 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Hope this helps!!!!!!

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