This table shows the input and output values for a linear function f(x).

What is the difference of outputs for any two inputs that are one value apart?

A. -5
B. 1
C. 21.2
D. 27.2

This Table Shows The Input And Output Values For A Linear Function F(x).What Is The Difference Of Outputs

Answers

Answer 1

Answer:

C

Step-by-step explanation:

The question wants you to calculate f(n)-f(n-1) using the data in the table. This could be done on any of the pairs, but I chose f(0)-f(-1) = 6 - (-15.2) = 21.2, giving us C as the final answer.


Related Questions

A bird flying 45 feet above a river dives
down 58 feet to catch a fish. Find the
location of the fish relative to the surface of
the water.

Answers

The bird touches the water at 45 feet below, the fish is at 13 ft below the water surface :)

Please show work
I just need long division, I got synthetic division done .

Answers

Answer:

(10x^4-50x^3-800)/(x-6)

Step-by-step explanation:

Images with work attached

Answer:

            10 • (x^4 - 5x^3 - 80)

 ————————————————————

                      x - 6  

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 

STEP 2:

Equation at the end of step  2

:

 

STEP 3:

                           10x4 - 50x3 - 800

Simplify   —————————————————

                                        x - 6      

STEP 4:

Pulling out like terms

     Pull out like factors :

  10x^4 - 50x^3 - 800  =   10 • (x^4 - 5x^3 - 80)  

Polynomial Roots Calculator :

    Find roots (zeroes) of :       F(x) = x^4 - 5x^3 - 80

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -80.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80

 

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -74.00      

     -2       1        -2.00        -24.00      

     -4       1        -4.00        496.00      

     -5       1        -5.00        1170.00      

     -8       1        -8.00        6576.00      

 

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

   

Dividing :  x^4 - 5x^3 - 80  

                             ("Dividend")

By         :    x - 6    ("Divisor")

dividend     x^4  -  5x^3          -  80  

- divisor  * x^3     x^4  -  6x^3              

remainder         x^3          -  80  

- divisor  * x^2         x^3  -  6x^2          

remainder             6x^2      -  80  

- divisor  * 6x^1             6x^2  -  36x      

remainder                 36x  -  80  

- divisor  * 36x^0                 36x  -  216  

remainder                     136  

Quotient :  x^3 + x^2 + 6x + 36  

Remainder :  136

=               10 • (x^4 - 5x^3 - 80)

 ————————————————————

                           x - 6  

Hope this helps, have a nice day/night! :D

Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, and
potatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and your
knowledge of polynomials, perimeter and area to solve the following questions.


1. Write a polynomial expression that represents the area of the potato field.
2. Simplify a polynomial expression that represents the area of the potato field.
3. Explain why the calculated area would be useful to Farmer Bob.

Answers

The simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72

From the diagram shown, we can see that the area of the potato field can be represented as a scaled factor of the area of the farm because they are both rectangular in nature.

Area of the potato field = length * width

Length = x^2 + 7x + 12

Width = x + 6

Substitute into the formula to get the required polynomial

Area of the potato field = (x^2 + 7x + 12)(x+6)

Area of the potato field = x^3+6x^2+7x^2+42x+12x+72

Area of the potato field = x^3 + 13x^2 + 54x + 72

Hence the simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72

Learn more on polynomial expression here: https://brainly.com/question/21534285

Give coordinates for three possible pairs of points for the other two verticies...

Answers

Answer:

A) (-1,3) and (4,3)

B) (-1,-7) and (4,-7)

C) (1.5, .5) and (1.5, -4.5)

Step-by-step explanation:

For 1 and 2, because the y-values of the points are the same, the length of the square can be found by subtracting the x-coordinates.

4-(-1)=4+1=5

The length of the side of the square is 5.

1. For the first set of points, the square is above the two given points so just add 5 to the y-values

-2+5=3

This gives you the points:

(-1,3) and (4,3)

2. For the second set of points, the square is below the two given points so subtract 5 from the y-values.

-2-5=-7

This give you the points:

(-1,-7) and (4,-7)

3. The third answer is when the two given points are on opposite corners

of the square.

Here the diagonal is equal to 5 since they are on opposite corners of the square.

The diagonal of a square can be found with the pythagorean theorem

Since we have the diagonal we can find the side lengths we need.

[tex]2s^2=25[/tex]

s=[tex]\sqrt{\frac{25}{2} }[/tex]

s=3.5355

We want the new vertices to be in the middle of the other vertices x-coordinates

[tex]\frac{4-(-1)}{2} =\frac{5}{2} =2.5[/tex]

The new vertices will be 2.5 units away from the other vertices

-1+2.5=1.5

The new vertices will be at x=1.5

Now we need the pythagorean theorem again to find the y-values

[tex](2.5)^2+h^2=(3.5355)^2[/tex]

[tex]6.25+h^2=\frac{25}{2}[/tex]

[tex]h=\sqrt{\frac{25}{2} -6.25}[/tex]

h=2.5

The new vertices will be:

(1.5, -2+2.5)=(1., .5)

(1.5, -2-2.5)=(1.5, -4.5)

A train has an odd number of cars. The number of cars Is greater than 1 and less than 9

Answers

I think the correct answer is 3


BRAINLIEST PLEASE

please ehlp delta math with explanation please

Answers

Answer:

134.3

Step-by-step explanation:

In [tex]\triangle{WXZ},[/tex] a right triangle, look at sides XW and XZ.

[tex]\frac{XW}{XZ}=\frac{\text{adjacent}}{\text{hypotenuse}}=\cos{82^\circ}\\\\XW=(XZ)\cos{82^\circ}[/tex]

You now need to find XW.

In [tex]\triangle{XYZ},[/tex] the measure of angle XZY (the one at the top) is 180 - (82 + 67) = 31 degrees.

Using the Law of Sines in triangle XYZ,

[tex]\frac{XZ}{\sin{67^\circ}}=\frac{540}{\sin{31^\circ}}\\\\XZ=\frac{540 \sin{67^\circ}}{\sin{31^\circ}}[/tex]

Put that into the equation for XW above...

[tex]XW=\frac{540\sin{67^\circ}\cos{82^\circ}}{\sin{31^\circ}}[/tex]

A calculator shows that this is approximately 134.3

Stop and answer this question

The first truck carries 35 tons less rice than the second truck. The number of paddy in the first truck is 2/3 of the amount in the second truck. How many tons of paddy does each cart hold?

Answers

First truck = x

Second truck = y

x + 35 = y

x = 2/3y

So

2/3y +35=y

1/3y = 35

y = 35*3

y = 105

And ,

x = 2/3y = 70

Complete the description of the piecewise function graphed below.

Answers

Step-by-step explanation:

not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).

I assume, we have the following points :

(-6, 1.5) (-3, 3)

(-3, 2) (1, 2)

(1, 1) (6, -9)

all 3 segments are lines with the basic function definition

y = ax + b

a is the slope of the line function and is always the factor of x.

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.

b is the y-intercept (the y value when x = 0).

the first segment goes from (-6, 1.5) to (-3, 3).

x changes by +3 units (from -6 to -3).

y changes by +1.5 or 3/2 units (from 1.5 to 3).

the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2

giving us the first part

y = (1/2)x + b

b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :

3 = (1/2)×-3 + b

3 = -3/2 + b

6/2 + 3/2 = b

9/2 = b

the full equation is

y = (1/2)x + 9/2 = (x + 9)/2

the second segment is a flat, horizontal line and is simply

y = 2

the third segment goes from (1, 1) to (6, -9) :

x changes by +5 units (from 1 to 6).

y changes by -10 units (from 1 to -9).

the slope of the line is -10/5 = -2

giving us the first part

y = -2x + b

b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :

1 = -2×1 + b

1 = -2 + b

3 = b

the full equation is

y = -2x + 3

The answer is in the pic below!

20
18. Find the values of x and y in the parallelogram PQRS.
vat
PT = 2x, TR = y +3, QT = 3x, TS = 2y
T
27
2x
Р
S
0

Answers

Answer:

Step-by-step explanation:

3. Given: DE is a midsegment of AABC. Show all work.
a. Find the value of x and y.
b. What is the length of AC?

Answers

Answer:

x = 10

y = 1

DE = 7

AC = 14

Step-by-step explanation:

x + 2 = 24/2

x = 12 - 2

x = 10

y + 6 = x - 3

y = 10 - 3 - 6

y = 1

What is Calculus ???

Answers

Answer:

Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

Answer:

The fundamental idea of calculus is to study change by studying "instantaneous " change, by which we mean changes over tiny intervals of time. And what good is that? It turns out that such changes tend to be lots simpler than changes over finite intervals of time.

Step-by-step explanation:

I WILL MARK BRAINEST!!!
#6 D and E please!

Answers

6d: lower q is 15
6e upper q is 18

Answer:

Q1 = 13.5

Q3 = 17.5

Step-by-step explanation:

6d) ===============

12, 12, 13, 14, 14, 17, 17, 17, 17, 18, 19, 20

I counted 12 numbers in this set. The median is the middle number of a sorted set. It's also the 2nd quartile as it is 2 quarters in, or 50% in.

First, find the median. In an even-numbered set, that's the average of the 2 middle numbers. In this case, it's between 17 and 17:

12, 12, 13, 14, 14, 17 === 17, 17, 17, 18, 19, 20

Now the set is split into 2 sets with 6 numbers each. Now, find the median of each of those sets. Again, the median of an even-numbered set is the average of the 2 middle numbers.

To find the first quartile (Q1), find the median of the lower set.

12, 12, 13 === 14, 14, 17

The median here is the average of 13 and 14, so 13.5.

6e) ==============

Exactly the same process as above.

7, 12, 12, 13, 14, 14, 17, 17, 17, 18, 19, 20

12 numbers again.

7, 12, 12, 13, 14, 14 === 17, 17, 17, 18, 19, 20

Now, to find the third quartile, find the median of the upper set.

17, 17, 17 === 18, 19, 20

The median is the average of 17 and 18, or 17.5.

what’s y = x +-2 -76

Answers

Answer:

y = x - 78

Step-by-step explanation:

y = x +-2 -76

y = x -78

Helppp!! I cant get this wrong lol

Answers

Answer:

x = 2

y = -7

Step-by-step explanation:

First, we see that all the terms in the first equation can be divided by 7:

-x + y = - 9

Then we solve for x by adding adding x and 9 to both sides:

-x + x + y + 9 = -9 + 9 + x

it cancels out to:

y + 9 = x

Now, replace x in the second equation with (y + 9):

28(y + 9) - y = 63

Now simplify:

28(y) + 28(9) - y = 63

27y + 252 = 63

27y = 63 - 252

27y = -189

y = -7

Plug in the value for y in the equation for x:

y + 9 = x

-7 + 9 = x

x = 2

Answer:

-7x +7y = -63(i)

28x -y = 63 (ii)

Divide eq(i) by 7

-x + y = -9 (iii)

28x -y= 63 (ii)

Add (iii) and ii

-x + y = -9

28x - y = 63

------------------------

-x +28x +0 = -9 +63

27x = 54

●x = 2

Put x=2 in any eq..

Lets put in eq[i]

-7 (2) + 7y =-63

-14 + 7y = -63

7y = -63 +14

7y=49

●y=7

BRAINLIST PLS

0.36 in simpliest form with the line over the 6

Answers

Answer:

11/30

Step-by-step explanation:

Let x = 0.366666666.....

Then

100x = 36.6666666....

10x =     3.6666666...

subtracting 100x - 10x eliminates the trailing 6s

90x = 33

divide both sides by 90

x = 33/90

reduce

x = 11/30

Please help mee please plese

Answers

Answer:

C=66, C=25 1/7

Step-by-step explanation:

i

C=pi(d)

C=22/7*21

C=66

ii

C=pi(d)

C=22/7*16

C=25 1/7

7 Mathexcellup logo

I answered the question and got it right.

the k the term is 1199/1200. What's k.​

Answers

Answer:

could I get a picture plz

PLS help im stuck i dont understand how to do the problem

Answers

5/3x+8
5/3 is the slope

what is 22 over 7 - 2 over 3 divided by 2

Answers

22/7-2/3 divided by 2. first, you would do 2/3 divided by 2, which can be rewritten as 2/3 times 1/2, which is 2/6. 2/6 can be simplified as 1/3. next, you do 22/7-1/3, which is 59/21, or 2 17/21.

someone plz help me!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

In the given set of questions regarding the concept of division, it is important to understand the parts of a division problem.

Definitions:

In a division problem such as 15 ÷ 3 = 5:

15 represents the dividend, which is the number being divided into groups. 3 represents the divisor, which is the number of groups that divides the dividend.  5 represents the quotient, which is the result of dividing the dividend and the divisor. Solution:

Now that we have defined the parts of a division problem, we can proceed to matching the division problems to its corresponding representation of equal groups.

1.) 15 ÷ 3 = 5 "There are 5 equal groups of 3."  

If you multiply the quotient, 5, by the divisor, 3, it results in the dividend: 5 × 3 = 15. This occurs because multiplication is the opposite mathematical operation of division.  

2.) 45 ÷ 5 = 9 "There are 9 equal groups of 5."  

      9 equal groups of 5 = 9 × 5 = 45.

3.)   8 ÷ 4 = 2 "There are 4 equal groups of 2."  

      4 equal groups of 2 = 4 × 2 = 8.

4.) 18 ÷ 6 = 3 "There are 3 equal groups of 6."  

      3 equal groups of 6 = 3 × 6 = 18.

Fatima writes down three square numbers.
The total of the square numbers is 30.
Which square numbers did Fatima write down?

Answers

Answer:

10

Step-by-step explanation:

Fatima wrote down 3 square numbers

since we don't know the three square we will represent it by any variable (X)

3x=30

so you divide both sides by 3

so we have 3x/3=30/3=10

therefore the answer is 10

The total of the square numbers is 30.

The squares can be from the following.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

1 + 4 + 25 = 30

The three square numbers are 1, 4, and 25.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The total of the square numbers is 30.

The squares can be from the following.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

We can take three squares.

1 + 4 + 25 = 30

This is a perfect case.

Thus,

The three square numbers are 1, 4, and 25.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

What is the slope of the line that passes through the two following points?
(2,-5),(-1,4)

- 1/3
- -1/3
- 3
- -3

Answers

-3 because 4- -5 is 9 and -1 -2 is -3 and if you put 9/-3 you get -3/1 and -3/1 simplified is -3
Hey, so you use y= y2-y1/ x2-x1
y= 4-(-5)/-1-2
y= 9/-3
y= -3

Therefore, the slope of the line is y=-3

the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million

Answers

Answer:

We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps

Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.

Answers

Answer:

y/x = 2 or y = 2x

Step-by-step explanation:

The given triangle has:

Vertical segment = 2 unitsHorizontal segment = 1 unit

The ratio (slope) is:

2/1 = 2

For any triangle using same line the proportion is:

y/x = 2 ory = 2x

What property is illustrated in the following equation?

8 + 5 = 5 + ?

Answers

The answer is communitive property.

Answer: 3

Step-by-step explanation: Did it recently.

Using the findings (e.g., themes) from a qualitative study to develop a new quantitative survey is known as what type of integration

Answers

Using the findings from a qualitative study to develop a new quantitative survey is known as mixed integration.

Mixed integration is called the data collection and information classification system that includes both qualitative and quantitative processes as access mechanism to said data and information, that is, performing a mixed or dual analysis of the concepts being studied.

Learn more in https://brainly.com/question/1978633

Help algebra 2 please

Answers

Answer:

it should be C I guess.

Im sorry if it is wrong

Use the simple interest formula 1=prt find the amount that needs to be invested at 7%per year for 12 years in order to earn 2500$in interest

Answers

the answer is 1358.70

solve pls brainliest

Answers

Answer:

3421

Step-by-step explanation:

3421 the order the tiles are in

What list shows these in order from least to greatest?

Square W: A= √325 in.2

Square X: A= 3π/.5 in.2

Square Y: A= 5.5π in.2

Square Z: A= 17.92 in.2


1. Z, Y, W, X
2. X, W, Z, Y
3. Y, Z, W, X
4. W, X, Y, Z

Answers

Answer:

4 i am not sure for this answer guess

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