What is the rate of change of the linear relationship modeled in the table?

x y
1 2
3 5
5 8
7 11
(4 points)


a) negative three over two
b) two over three
c) 1
d) three over two

Answers

Answer 1
The slope or velocity is constant if it is a linear relationship.  And that constant velocity is (y2-y1)/(x2-x1)

In this case it is (11-8)/(7-5)=(8-5)/(5-3)=etc=3/2

So the slope is 3/2.
Answer 2
take 2 of ur points...any 2 of them, then use the slope formula.

slope(rate of change) = (y2 - y1) / (x2 - x1)
(1,2)...x1 = 1 and y1 = 2
(3,5)...x2 = 3 and y2 = 5
now sub into the formula
slope(rate of change) = (5 - 2) / (3 - 1) = 3/2 <==



Related Questions

please Help me
13. - 9/25

Answers

First you can multiply 13 with -9 which gives you ---> 13 . 9 = -117
Then you can divide -117 to 25 --------->   -117 / 25 = 4.68

Sam goes running Monday, Wednesday, and Friday of each week. Each Monday he runs 3.75 miles, each Wednesday he runs 5.75 miles, and each Friday he runs 6.25 miles. How many total miles does he run in 7 weeks?

Answers

3.75+5.75+6.25=15.75 miles per week
15.75*7=110.25
Final answer: 110.25 miles

Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Write an equation and solve it to determine the value of the highest priced camera Eddie can purchase with his $45, including the sales tax. Round your answer to the nearest penny.
x − 0.07x = 45; $48.39
0.7x = 45; x = $64.29
7x = 45; x = $6.43
x + 0.07x = 45; x = $42.06

Answers


 tax gets added to the price of the camera

 so the equation is:

x + 0.07x = 45; x = $42.06

Answer question to get brain

Answers

First one:
D. 16x10=160

160x32=5120
Second one: 9.3

What is the remainder when (x^4+36) is divided by (x^2-8)

Answers

Answer:

The remainder is 100.

Step-by-step explanation:

The divisor is [tex]x^2-8[/tex].

Dividend is [tex]x^4+36[/tex].

We have to find the remainder of

[tex]\frac{x^4+36}{x^2-8}[/tex]

It can be written as

[tex]\frac{x^4+36}{x^2-8}=\frac{x^4-64+64+36}{x^2-8}[/tex]

[tex]\frac{x^4+36}{x^2-8}=\frac{(x^4-64)+100}{x^2-8}[/tex]

[tex]\frac{x^4+36}{x^2-8}=\frac{(x^4-64)}{x^2-8}+\frac{100}{x^2-8}[/tex]

[tex]\frac{x^4+36}{x^2-8}=\frac{(x^2-8)(x^2+8)}{x^2-8}+\frac{100}{x^2-8}[/tex]       [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]\frac{x^4+36}{x^2-8}=x^2+8+\frac{100}{x^2-8}[/tex]

Therefore the remainder is 100.

The screen on Lawrence's new phone is 3.15 centimeters long.What mixed number represents the lenght of the phone screen?

Answers

[tex]3.15= 3\frac{15}{100}= 3 \frac{3}{20} [/tex]  cm

Kirk bought songs for his MP3 player. He needed 6 more songs to have a total of 100. Write an integer to represent how many more songs Kirk needs. I NEED HELP!!!!!!!

Answers

This is very easy to solve once you understanding writing equations. In this case, we could do n+6=100 because we know that the number of songs he has now (n) plus 6 will equal 100. Below is a solution for this equation.

n+6=100
   -6     -6
n=94

After solving our equation, we know that Kirk has 94 songs.

Kirk needs 6 more songs to reach a total of 100, so the integer representing the number of songs he needs is +6.

Kirk needs 6 more songs to have a total of 100 songs for his MP3 player.

The integer to represent how many more songs Kirk needs is +6.

This is because an integer is a whole number (not a fraction or decimal) and can be positive, negative, or zero. In this case, since Kirk is adding songs to reach a total, we use a positive integer.

The +6 indicates that 6 more units (songs, in this context) are needed to reach the goal of 100.

manny brought 2 1/2 cakes to the party, but 3/4 of those went uneaten. How much cake was not eaten?

Answers

1.76
Subtract 2.5 to 3/4 by dividing 3 to 4 getting the answer of 1.76
2 1/2 = 5/2
5/2 x 3/4 = 15/8 = 1 7/8

answer
1 7/8 not eaten

Type the correct answer in each box. Andy got a 32% discount on all his purchases at his favorite shop. If he saved $64 on the total bill, the bill amount without the discount was $ and he paid $ . NextReset

Answers

he got a discount of 32%, and saved 64$,
let the total amount without discount be x
according to the formula
32$=64×100/x
x=64×100/32
x=200$

Find the coordinates of P so that P partitions the segment AB in the ratio 1:1 if A(13,1)A(13,1) and B(−5,−3)B(−5,−3)

Answers

Final answer:

The coordinates of point P that partitions the segment AB in the ratio 1:1 are (4, -1). The calculation is done using the segment partition formula.

Explanation:

To solve this problem, we use the formula for finding the point that divides a line segment into a given ratio. The formula is P(x, y) = ((x1*m2 + x2*m1)/(m1+m2), (y1*m2 + y2*m1)/(m1+m2)). Here, points A and B are (13,1) and (-5,-3) respectively, and the ratio m1:m2 is 1:1.

So applying the formula, we have P(x, y) = ((13*1 + -5*1) / (1+1), (1*1 + -3*1) / (1+1)) = (8/2, -2/2) = (4, -1).

So, the coordinates of point P that partitions the segment AB in the ratio 1:1 are (4, -1).

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Final answer:

To find the coordinates of point P that bisects the segment AB in the ratio 1:1, we use the midpoint formula. Substituting the values of points A(13,1) and B(-5,-3) into the formula gives us P(4,-1).

Explanation:

The student wants to find the coordinates of point P that would bisect the line segment AB in a 1:1 ratio. Since the ratio is 1:1, point P is the midpoint of the segment. To find the coordinates of the midpoint P, we need to calculate the average of the x-coordinates and the y-coordinates of points A and B.

Using the formula of a midpoint, M(x, y) = [ (x1+x2)/2 , (y1+y2)/2 ], let's substitute the coordinates of points A(13,1) and B(-5,-3).

P(x, y) = [ (13-5)/2 , (1-3)/2 ]

Therefore, the coordinates of point P that partitions the segment AB in the ratio 1:1 is P(4, -1).

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Gillian earns $7.50 an hour babysitting on the weekends.Last week she babysat for 2.2 hours on Saturday and 3.5 hours on Sunday.How much did Gillian earn

Answers

Total hours= 2.2+3.5=5.7

Total earned = 5.7 x $7.50= $42.75

What is the quotient and the remainder for
52 divided by 8

Answers

52/8 = 6 
6*8 = 48
52-48 = 4

So 52 = 6*8+4

The quotient is 6, the remainder is 4.

Which of the following side measurements could make an equilateral triangle and isosceles triangle?
A.12, 12, 14
B. 4, 5, 6
C. 2, 2, 2
D. 2, 2, 4

Answers

Well C. would make an equilateral triangle, due to all three sides being the same. It could also be an isosceles triangle, due to both sides being the same.

Answer:2,2,2

Step-by-step explanation: I just took the test and got it right.

Find the rate of change of the function f(x)=-4/5x+8

Answers

The rate of change of the function f(x)=(-4/5)x+8 is -4/5, as this is the slope of the linear function which is constant.

To find the rate of change of the function f(x)=-4/5x+8, we can identify the coefficient of the x term, which in this case is -4/5. This coefficient represents the slope of the line, which is the rate of change of the function.

Hence, the rate of change of the function f(x) is -4/5. No additional calculations are needed because the function is linear, and its rate of change is constant.

In terms of calculus, for linear functions, the rate of change is equal to the derivative, which for f(x)=-4/5x+8 is -4/5.

plz help asapppppp plzz

Answers

In grade 7, 10/18 students are members of the band.
In grade 8, 10/12 students are members of the band.
Because 10/12>10/18, the answer is B

If the unit selling price is $2.50 and the unit cost is $1.00 what action is needed to maintain the gross margin percentage when unit cost increases $0.25

Answers

2.50 / 1.00 = 250% gross margin percentage

1.00 + 0.25 = 1.25

1.25 x 250% = 1.25 x 2.5 = 3.125

 the unit selling price needs to be increased by 0.63 cents  to $3.13

it must be increased by 0.63 cents  to $3.13

answer both questions if u cant see all the answers it don't matter all u need is the question

Answers

First one is 7.73 (23.19/3)
Second one is 14.04 ((19.71/7.3) x 5.2)
#5

23.19 / 3 = 7.73
answer is b. 7.73

#6
QR/5.2 = 19.71  /  7.3
QR = 5.2 (19.71)   /  7.3
QR = 14.04


Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water?

Answers

5 parts of water plus 2 parts of vinegar.

1 part of water =  (2/5) parts of vinegar

                          = 0.40 parts of vinegar.

So Tim mixed 0.40 parts of vinegar with each (1) part of water. 

a cube is a three-dimensional solid with a square faces find the total surface area of a cube whose edges are each five feet in length

Answers

All we have to do is solve for one of the square faces.
Area = (side)^2

=5^2
25 ft^2
There are 6 sides on a cube, so we multiply by 6

25*6 = 150 ft^2
a cube has 6 square faces
each face is a square, the area of each is side²

so the surface area of a cube is 6s² where is the length of each side or edge

given that each edge is 5ft

SA=6(5)²
SA=6(25)
SA=150 ft²

the surface area is 150 ft²

Write this number in expanded form 73,489

Answers

70000+3000+400+80+9    
70000+3000+400+80+9 is the answer to the question

Maria is buying new carpet for her bedroom and her bedroom is the shape square in each side is 12 feet what is exponetial expression to find out how much carpet she needs

Answers

Final answer:

To find out how much carpet Maria needs for her square-shaped bedroom with each side measuring 12 feet, we can calculate the area of the room by using the exponential expression 12².

Explanation:

To find out how much carpet Maria needs for her square-shaped bedroom, we need to calculate the area of the room. Since each side of the square is 12 feet, we can use an exponential expression to find the area. The exponential expression is 12², which simplifies to 144 square feet.

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Evaluate cos(tan^-1 0)

Answers

Answer:

[tex]cos(tan^{-1}(0))=1[/tex]

Step-by-step explanation:

Evaluate cos(tan^-1 0)

[tex]cos(tan^{-1}(0))[/tex]

We know that tan(0)=0

tan (0 degree)=0

[tex]tan^{-1}(0)=0[/tex]

Replace it in our problem

[tex]cos(tan^{-1}(0))[/tex]

[tex]cos(0)[/tex]

At 0 degree the cos value is 1

So co(0)=1

[tex]cos(tan^{-1}(0))=1[/tex]

Answer:

the correct answer is 1

What's the 7 number ling

Answers

If the number is rounded to 8,920,000 then it can't be over 8,924,999 and it can't be less than 8,915,000.
The numbers in the tens and hundreds are the least and the same. They might be zeros.
The thousands is 2x the ten thousands place. The ten thousands place now is either 2 or 1. The thousands place will either be 2 or 4.
The sum of all the digits is 24. We know that there will be an 8 and a 9 so if we add those up and subtract it from 24, we know the rest of the numbers need to add to 7.
8,924,001 would be your number.


You are expecting a call from a friend anytime between 3:00 P.M. and 5:00 P.M. At 3:20 P.M, you discover that someone accidentally left the phone off the hook. What is the probability that you missed your friend’s call?

Answers

The probability that you missed the call is 20/120 (1/6) because the time in which you expect the call is 2 hours (120 minutes), and the time that you missed is 20 minutes. So 20 out of 120 is 20/120, or 1/6 or 16.6666667%.

Given the function g(x)=7-x^2, evaluate g(x+h)-g(x)/h , h=0

Answers

hello here is a solution : 

The result is g'(x) = -2x.

Given g(x) =[tex]7 - x^2.[/tex]

Evaluate g(x+h)
=[tex]7 - (x+h)^2[/tex]
= [tex]7 - x^2 - 2xh - h^2.[/tex]

Compute g(x+h) - g(x)
=[tex][7 - x^2 - 2xh - h^2] - [7 - x^2][/tex]
= [tex]-2xh - h^2.[/tex]

Divide by h:
(g(x+h) - g(x)) / h
= [tex](-2xh - h^2) / h[/tex]
= -2x - h.

Take the Limit as h Approaches 0: As h approaches 0, the expression -2x - h approaches -2x.
Therefore, g'(x) = -2x.

So, the derivative of g(x) when h = 0 is -2x.

April wants to multiply 6 and 42 using the distributive property. Which of the following number sentences shows how she could do it?

6 × 42 = 42 × 6
6 × (40 + 2) = (6 × 40) + 2
(6 × 42) × 1 = 6 × (42 × 1)
6 × (40 + 2) = (6 × 40) + (6 × 2)

Answers

I'm pretty sure the answer is the last one:
6 x (40+2) = (6 x 40) + (6 x 2)
The 6 is distributed to the 40 and the 2

Final answer:

To multiply 6 and 42 using the distributive property, you break down 42 into 40 and 2, then multiply each part by 6 and add them together to get 252.

Explanation:

The distributive property in mathematics allows us to multiply a sum by multiplying each addend separately and then adding the products. April wants to multiply 6 by 42 using the distributive property. The correct way to do this using the distributive property is to break down 42 into 40 and 2, then multiply each by 6 and add the results. Therefore, the correct number sentence using the distributive property is:

6 × (40 + 2) = (6 × 40) + (6 × 2)

This simplifies to:

(6 × 40) + (6 × 2) = 240 + 12 = 252

So, 6 × 42 equals 252 when applied through distributive property.

Okay, I am stumped on a 4th grade math problem. Help! Taylor's home street address number has five digits. Two digits have values of 60,0000 and 300. The last digit is 9. The value of each of the other digits is ten times the value of the digit on the right. What is Taylor's home street address number?

Answers

original numbers: 6_3_9 
3 x 10 = 30 
633_9 
9x10= 90
so, 63399
Final answer:

To find Taylor's home street address number, we can determine the value of each digit based on the given information and then calculate the sum.

Explanation:

In this problem, we are given that Taylor's home street address number has five digits.

We also know that two of the digits have values of 60,000 and 300, and the last digit is 9.

The value of each of the other digits is ten times the value of the digit on the right.

Let's break down the information we have:

The first digit is 60,000.The second digit is 300.The third digit is 10 times the value of the second digit, so it's 10 * 300 = 3,000.The fourth digit is 10 times the value of the third digit, so it's 10 * 3,000 = 30,000.The last digit is 9.

Putting all the digits together, we get the address number: 60,000 + 300 + 3,000 + 30,000 + 9 = 93,309.

what is the value of the digit 5 in the number 75

Answers

The value would be 5 itself because it is in the ones place. If it were in the tens place it would be 50, if it were in the hundreds place it would be 500, and so on. Hope this helps. Let me know if you need anything else or if I can clarify anything for you, and feel free to post more questions.
Final answer:

The value of the digit 5 in the number 75 is 5. This is because in the number 75, 5 is in the ones place and thus represents 5.

Explanation:

The value of the digit 5 in the number 75 is actually 5 itself. In any two-digit number like 75, the place values are tens and ones. The first digit represents the tens place and the second represents the ones place. Therefore, in 75, the digit 7 represents 70 (as it is in the tens place) and the digit 5 represents 5 (as it is in the ones place). Hence, the value of the digit 5 in the number 75 is 5.

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Tina Avallone and her husband are buying a $219,000 home. Their annual housing expenses are: mortgage payments, $15,400; real estate taxes, $3,600; annual homeowner’s insurance premium, $1,895; maintenance on the home, $3,200; and utilities, $3,980. The lost interest on the down payment is $1,001 and the tax savings is $1,976. What is their average monthly expense?

Answers

Answer:

the answer is actually is $2,258.33

Step-by-step explanation:

(I NEED THIS ASAP PLEASE)Jermaine knows that QRS and FGH each have two sides that are 9 mm long. What statement best describes the two triangles?
1)The two triangles are congruent because there are two pairs of congruent corresponding sides.
2)The two triangles are congruent because both triangles are isosceles with 9 mm sides.
3)The two triangles may be congruent, but additional measurements are needed.
4)The two triangles may be congruent, but additional information is needed about the orientation of the figures.

Answers

the 3rd option because the angle between the two sides may be different in either triangle

Answer:

(C)The two triangles may be congruent, but additional measurements are needed.

Step-by-step explanation:

It is given that QRS and FGH each have two sides that are 9 mm long that is QR=QS=9mm and FG=FH=9mm.

Thus, both the triangles that are QRS and FGH becomes the isosceles triangles.

Now, in order to prove that ΔQRS≅ΔFGH, we require more measurements as congruency can be proved only by SAS, SSS, ASA or AAA that is by using all the three sides of triangle or by using two sides one angle or by using two angles and one side or by using all the three angles.

Therefore, we need remaining side or angle in order to prove that ΔQRS is congruent to ΔFGH.

Hence,  option (C) is correct.

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