✖️-101 2 3 f(✖️) -2-1 -1/2-1/4-1/8 -9/4 -7/12 12/7 7/12 Given the following table,fine the rate of change between f(-1) and f(2).

Answers

Answer 1

Answer: [tex]\frac{7}{12}.[/tex]

Step-by-step explanation:

Given table:

X            f(X)

-1                -2

0                 -1

1                  [tex]-\dfrac{1}{2}[/tex]

2                 [tex]-\dfrac{1}{4}[/tex]

3                 [tex]-\dfrac{1}{8}[/tex]

i.e. , f(-1) = -2

f(2) = [tex]-\dfrac{1}{4}[/tex]

The rate of change between [tex]f(a)[/tex] and [tex]f(b)=\dfrac{f(b)-f(a)}{b-a}[/tex]

Then, the rate of change between f(-1) and f(2) = [tex]\dfrac{-\dfrac{1}{4}-(-2)}{2-(-1)}[/tex]

[tex]=\dfrac{-\dfrac{1}{4}+2}{3}=\dfrac{\dfrac{-1+8}{4}}{3}\\\\=\dfrac{\dfrac{7}{4}}{3}\\\\=\dfrac{7}{12}[/tex]

Hence, the rate of change between f(-1) and f(2) is [tex]\frac{7}{12}.[/tex]


Related Questions

Your class is measuring the heights of plants in different locations in the classroom.
The table gives the heights of each plant over 3 weeks. Use the drop-down menus to
complete each statement below about this data,

Answers

Answer:

First part) measuring each plant at the same time each week

Second part) centimeters and the same

Step-by-step explanation:

Answer:

These heights could have been measured by measuring each plant at the same time each week.

The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.

Suppose you have a triangle, and you want to construct a similar triangle. Which two
transformations will result in a triangle that is similar, but is not congruent?
Rotation and Reflection
Reflection and Translation
Reflection and Dilation
Translation and Rotation

Answers

Answer: C) reflection and dilation

Explanation:

The transformations of translation, reflection and rotation are considered rigid motions. They keep the figure the same size just it has been shifted around in some way. In contrast, a dilation will alter the size to make it larger or smaller depending on what the scale factor is.

Only choice C has "dilation" as part of the answer, so it must be the answer. The other choices are purely rigid motions that will keep the triangle the same size and shape. In other words, the preimage and image are congruent for choices A,B, and D.

HELP PLEASE I REALLY NEED THE HELP ON THIS.

Answers

for questions 8 and 9, you just need to use a ruler to fine how many inches, centimeters, or millimeters each line segment is. (make sure to properly read the question to see if they’re asking for the measurement in in, cm, or mm.) i won’t be able to give you these measurements because the picture became smaller when you uploaded it, but it shouldn’t be that hard for you!

for question 10, use a ruler to draw and label your own line segment.

on 10a, draw a line segment that is 3 1/4 inches long, then label one end of the segment ‘H’ and one end ‘J’

for 10b, draw a line segment that is 5 7/16 inches long, then label one end of the segment ‘M’ and the other ‘N’.

f(x) = 28 + 10x²; solve for f(1) and f(27)

Answers

Answer:

f(x) = 28 + 10x²

For f(1) substitute 1 into f(x)

That's

f(1) = 28 + 10(1)²

= 28 + 10

= 38

f(27) = 28 + 10(27)²

= 28 + 7290

= 7318

Hope this helps you

Plz help its about volume of a rectangular prism

Answers

Answer:

V = 7*4*1

V = 1*4*7

V = 4*7*1

Step-by-step explanation:

The volume is found by

V = l*w*h

V = 7*4*1

We can multiply in any order

Answer:

Choices 2, 5, 6

Step-by-step explanation:

Rectangular Prism Volume: whl (width ✖️height✖️length).

4✖️7✖️1

Anything that is same with that is the answer, therefore, choices 2, 5, and 6 are correct.

I hope this helps you!

is 5.39 rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

rational because it doesn't repeat

irrational: 5.399999

Rational: 5.39

:)

AssAssessment captures blank growth

Answers

What do you mean by this

Write the following decimals as fractions.

Show work for each and every question below.

Answers

Answer:

5a) 0.2823=2823/10000

5b) 0.5474=2737/5000

6a)0.3484=871/2500

6b) 0.5=1/2

7a) 0.11=11/100

7b) 0.1224=153/1250

Step-by-step explanation:

Simplify 27^2. _______ a0 Simplify 13^2. _______ a0

Answers

Answer:

Step-by-step explanation:

27^2 = 729

13^2 =169

Answer:

1) [tex]\boxed{729}[/tex]

2) [tex]\boxed{169}[/tex]

Step-by-step explanation:

1) 27²

This means 27 is being multiplied 2 times.

So,

=> 27*27

=> 729

2) 13²

This means 13 is being multiplied 2 times

So,

13*13

=> 169

Find the median of the data in the dot plot below.

Answers

5 is the medium!!!

Explanation: the easiest way to find the medium is by one by one crossing out both sides till you get to the last standing middle number. Which in this case is 5
HOPE THIS HELPED

A square playground has an area of 263 ft2. What is the approximate length of each side of the playground? Round your answer to the nearest foot. 17 ft 18 ft 131.5 ft 16 ft

Answers

Answer:

Approximately 16 feet

Step-by-step explanation:

If the playground has a square shape, then its area equals the square of the playground's side (S):

[tex]S^2=263 \,\,ft^2\\S = \sqrt{263} \,\,ft\\S\approx 16.217 \,\,ft \\S\approx 16\,\,ft[/tex]

Answer:

16 feet

Step-by-step explanation:

The area of a square can be found using the following formula.

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

We know that the area of the playground is 263 ft^2. Therefore,

A=263 ft^2

[tex]263 ft^2= s^2[/tex]

We want to find out what s, the side length, is. s is being squared. The inverse of a square is a square root. Therefore, we must take the square root of both sides.

[tex]\sqrt{263 ft^2} =\sqrt{s^2}[/tex]

[tex]\sqrt{263ft^2}=s[/tex]

[tex]16.2172747 ft=s[/tex]

Round to the nearest foot. The 2 in the tenth place tells us to leave 16 as is.

[tex]16 ft=s[/tex]

The approximate length of each side of the playground is 16 feet.

Which system of equations has only one solution? 4 x + 2 y = 8. Negative 4 x minus 2 y = 3. Negative 5 x + y = 6. 5 x minus y = negative 6. Negative 3 x + 4 y = 2. 3 x minus 4 y = 0. 2 x + 4 y = 6. 3 x minus 4 y = 9.

Answers

Answer:

Following system of equations have exactly one solution:

[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]

Step-by-step explanation:

Given 4 system of equations:

1st  

[tex]4 x + 2 y = 8\\ -4 x -2 y = 3[/tex]

2nd

[tex]-5 x + y = 6\\ 5 x - y = - 6[/tex]

3rd

[tex]- 3 x + 4 y = 2\\ 3 x - 4 y = 0[/tex]

4th

[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]

To find: Which system of equations has only one solution?

Solution:

First of all, let us learn the concept.

Let the equation of lines be:

[tex]a_1x+b_1y+ c_1=0[/tex] and  [tex]a_2x+b_2y+ c_2=0[/tex]

1. No solution:

There exists no solution if:

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]

2. Infinite solutions:

There exist infinitely many solutions if:

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]

3. One solution:

There exists one solution if:

[tex]\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}[/tex]

Now, let us consider the given equations one by one.

1st system of equations:

The ratio is:

[tex]\dfrac{4}{-4} , \dfrac{2}{-2} , \dfrac{8}{3}\\-1 =-1\neq \dfrac{8}{3}[/tex]

So, no solution.

2nd system of equations:

The ratio:

[tex]\dfrac{-5}{5} , \dfrac{-1}{1} , \dfrac{6}{-6}\\-1 =-1=-1[/tex]

So, infinitely many solutions.

3rd system of equations:

[tex]\dfrac{3}{-3} , \dfrac{-4}{4} , \dfrac{0}{2}\\-1 =-1\ne0[/tex]

So, no solution.

4th system of equations:

[tex]\dfrac{2}{3} , \dfrac{4}{-4} , \dfrac{6}{9}\\\dfrac{2}{3} \ne-1[/tex]

Hence, only one solution.

So, the answer is:

Following system of equations have only one solution:

[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]

Answer:

4

Step-by-step explanation:

The value of 2^3 + 4^2 = ___.

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

24

▹ Step-by-Step Explanation

2³ + 4²

= 2 * 2 * 2 → 8

= 4 * 4 → 16

8 + 16 = 24

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

24

Step-by-step explanation:

2³ + 4²

Solve for exponents first.

2³ = 2 × 2 × 2 = 8

4² = 4 × 4 = 16

8 + 16

Addition.

= 24

Find an equation of the line: through the point (2, −4) with a y-intercept of −2. PLEASE HELP ONLY 20 MINS LEFT

Answers

Answer:

y = 3x -2

Step-by-step explanation:

y intercept means the point x = 0

need not be confused in that

we can get the two coordinates as

( 2, -4) and ( 0, -2)

gradient is difference of y/ difference of x

-2+-4/0-2

-6/-2 indeed its 3

so as y intercept is -2

c = -2

y = 3x - 2

PLEASE HELP!!! WILL MARK BRAINIEST IF CORRECT!

1. Create a data set with at least 15 values, including one value that is an outlier.

2. Give the data set.

3. Find the mean of the data.

4. If you remove the outlier, will the mean decrease, increase, or remain the same? Explain why.

5. Find the mean without the outlier to show that your response is correct.

Answers

Answer:

1 and 2. { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 , 100 }

3. Mean ➡ 13.67 ( About )

4. The mean will decrease. The mean is the average difference between the values in a data set, and this outlier is much greater than the rest of the values. Therefore, in the absence of the outlier the mean will decrease.

5. Mean ➡ 7.5

Step-by-step explanation:

I do want to point out that there is no " correct " answer in this case, but if you are referring to accuracy in terms of the calculations ( mean ) in this set, then I can understand.

1 and 2. An outlier is a value that does not belong to the set of values, considering their is pattern among the numbers. In other words it can be a number of high value, or a number of low value with respect to the data set. This throws the pattern of the set off balance, and does result in drastic changes in the mean.

Let's say that this is the following set - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 }. A very basic set, but as you can see contains only 14 elements. This last element here will be the outlier, 100 - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 100 }.

3 and 4 and 5. Assuming that this outlier was not present, I can tell that the set would have a mean less than when it was present. The mean is the average difference in the data set, and this outlier is greater than the other elements - greatly increasing the mean. The mean of the data set with the outlier is 13.67, and the mean of the data set without the outlier would be 7.5.

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?

Answers

Answer:

14 units.

Step-by-step explanation:

Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.

P = 2(l + w)

P = 2(3 + 4)

P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)

P = 14 units and 14 units.

You could also do addition.

P = 3 + 3 + 4 + 4

P = 6 + 8

P = 14 units

Hope this helped!

A rancher has 5,000 feet of fencing available to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal areas. If no fencing is required along the river, find the length of the center partition that will yield the maximum area.

Answers

Answer:

1,000 feet

Step-by-step explanation:

The closer to a square a rectangle is, the greater the area. So the 5,000 feet should be divided into 5 equal sections to create 2 squares with the river making one side.  (Like the letter "E").

5,000/5=1,000

Select the correct answer from each drop down menu?

Answers

Answer:  Area of Fountain = 147/147.58

               Area of Circular path = 28.26

Step-by-step explanation:

formula for area of circle = pi x r^2

radius of fountain - [tex]\\ \sqrt{47} \\[/tex]

area= 22/7 x 47 (as [tex]\sqrt{47}[/tex] is squared)

=147

radius of circular path - [tex]\sqrt{56}[/tex]

area= 22/7 x 9 ( [tex]\sqrt{56}[/tex] is radius and [tex]\sqrt{47}[/tex] is of the fountain subtract them you'll get 9 )

=28.26

Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet? A. 6 : 10 B. 6 : 12 C. 6 : 2 D. 6 : 28

Answers

Answer:

facil es la D

Step-by-step explanation:

10+6+12 igual a 28

y nada mas ahi que decir el numero de rosas amarillas que es este caso son

6

Respuesta 6:28

Answer:

D. 6:28

Step-by-step explanation:

The total number of flower in bouquet is

=6+10+12

=28

The ratio of number of yellow roses to the total number of roses is 6:28

Monica measures the number of bacteria that are living on her petri dish. Each day, she measures the amount of change in the number of bacteria. These amounts create a geometric sequence. Use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day. Day Amount of Change in Bacteria 1 2 2 −8 3 32 4 −128 −6553.2 −10.8 6554 11.6

Answers

Answer:

  6554

Step-by-step explanation:

The sequence 2, -8, 32, -128 has a first term (a1) of 2 and a common ratio (r) of -8/2 = -4. The sum of n terms is given by ...

  Sn = a1·(r^n -1)/(r -1)

For your sequence, the sum of 7 terms is ...

  S7 = 2·((-4)^7 -1)/(-4-1) = 2(-16384/-5) = 6554

The sum of changes after the 7th day is 6554.

Answer:

C

Step-by-step explanation:

took test

What is the volume of the following rectangular prism?

Answers

Answer:

Step-by-step explanation:

The formula is V= w h l

So it’s be V= 16 1/4 x 1/2

V= 16.25 x .50

V= 8.125

V=8

anyone knows this? thanks

Answers

Answer:

B. 15:1

Step-by-step explanation:

30/2=15/1

45/3=15/1

60/4=15/1

75/5=15/1

Hope this helps ;) ❤❤❤

The correct answer is B

What is the measure of the angle between the minute and the hour hands, when they show 4:20 PM?

Answers

Answer:

Won't they be on the same place, so 360° i think

Answer:

10 degrees

Step-by-step explanation:

Algebra help needed

Answers

Answer:

The ball will reach the ground when h=0.

Set the equation equal to 0.

[tex]0=-8(2 t-4)(t+1)[/tex]

[tex]t=-1,2[/tex]

Step-by-step explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

[tex]h=-8(2 t-4)(t+1)[/tex],

where h is the height in feet and t is time in seconds.  

When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.

To find the time it takes for the ball to reach the ground,  set the equation equal to 0 and use the Zero Product Property to solve for $t$.

[tex]h=-8(2 t-4)(t+1)[/tex]

[tex]\Rightarrow 0=-8(2 t-4)(t+1)[/tex]

Solve the equation using the Zero Product Property.

[tex]2t-4=0\Rightarrow t=\dfrac{4}{2}=2[/tex]

[tex]t+1=0\Rightarrow t=-1[/tex]

So, [tex]t=-1,2[/tex]

i don’t know how to show that the probability is 3/4 or how to work it out helppp

Answers

Step-by-step explanation:

There are 12 beads.  2 are blue, 1 is green, 3 are purple, and the rest (6) are red.

So there are 9 beads that are purple or red.

The probability is therefore 9/12, which reduces to 3/4.

Answer:

Show all colored beads on the bottom draw a line in the middle and in the top show all red and purple colored beads.

Step-by-step explanation:

Well first we need to work out the number of beads total.

2 blue + 1 green + 3 purple + 6 red = 12

9 purple or red,

9/12

Simplified,

3/4

Show all colored beads on the bottom draw a line in the middle and in the top show all red and purple colored beads.

Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value g(4) plz help quickly

Answers

Answer:

g(4) = -7

Step-by-step explanation:

g(x) = −2x + 1.

Let x=4

g(4) = -2*4 +1

      = -8+1

     = -7

Answer:

[tex]\boxed{g(4) = -7}[/tex]

Step-by-step explanation:

[tex]g(x) = -2x+1[/tex]

Put x = 4

[tex]g(4) = -2(4)+1\\g(4) = -8+1\\g(4) = -7[/tex]

3x2 +x=10 what’s the answer?

Answers

Answer:

Step-by-step explanation:

3 × 2 + x = 10

6 + x = 10

x = 10 -6

x = 4

Step-by-step explanation:

so 3 x 2 is 6

6 add x is 6x

6x = 10

divide by 6 or 10 on both sides to get ur answer

hope this helps

i would appreciate it if u could heart my answer and give it 5 stars or maybe even give it brainliest pls i beg u thx !!!!! : )

Please help with step by step. Thank you

Answers

Answer:

SU = 2PX = 6 2/3

Step-by-step explanation:

The product of distances to the circle along a secant is the same for all secants intersecting a given point.

a. Secants SW and QT intersect at U. Thus ...

  (UT)(UQ) = (US)(UW)

  (1.5)(4) = (SU)(3)

  SU = (4)(1.5)/3

  SU = 2

__

b. Secants PT and PX intersect at P. Thus ...

  (PQ)(PT) = (PR)(PX)

  PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3

  PX = 6 2/3

What is -6/7 x (-3/8)

Answers

Answer:

9/28

Step-by-step explanation:

−6/7×−3/8and solve

−6 ×−3 OVER 7×8

=18/56

18÷2 OVER 56÷2=9/28 Therefore:

−6/7×−3/8=9/28

Answer:

[tex] \frac{9}{28} [/tex]

Step-by-step explanation:

[tex] - \frac{6}{7 } \times \frac{ - 3}{8} [/tex]

Multiplying two negative equals a positive

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex] \frac{6}{7} \times \frac{3}{8} [/tex]

Reduce the numbers with G.C.F 2

[tex] \frac{3}{7} \times \frac{3}{4} [/tex]

Multiply the fractions

[tex] \frac{3 \times 3}{7 \times 4} [/tex]

[tex] \frac{9}{28} [/tex]

hope this helps...

Good luck on your assignment...

An eraser is in the shape of a triangular prism. Its dimensions are shown in the diagram. What is surface area of the
eraser?
50 mm
40 mm
40 mm
30 mm
3,600 square millimeters
4.800 square millimeters
5,400 square millimeters
6,000 square millimeters

Answers

Answer:

6000 square millimeters

Step-by-step explanation:

Side length of the slanting side can be calculated using the Pythagorean theorem,

L = sqrt(30^2+40^2) = 50

sufrace area of a triangular prism

= surface area of the end sections + the surface area of the three side faces

= 2*(30*40/2) + 40*(30+40+50)

= 1200 + 4800

= 6000 mm^2

Answer:

D) 6,000 square mm

Step-by-step explanation:

To find the surface area of the triangular prism, find the are of each face.

40 × 30 ÷ 2 = 600 × 2 sides = 120040 × 50 = 200040 × 30 = 120040 × 40 = 1600

After adding all the sides' together, you get 6,000 square mm.

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