PLEASE ANSWER !! WILL GIVE BRAINLIEST! Consider the exponential functions f, g, and h, defined as shown. Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3].

PLEASE ANSWER !! WILL GIVE BRAINLIEST! Consider The Exponential Functions F, G, And H, Defined As Shown.
PLEASE ANSWER !! WILL GIVE BRAINLIEST! Consider The Exponential Functions F, G, And H, Defined As Shown.

Answers

Answer 1

Answer: g(x) f(x) h(x)

Step-by-step explanation:

Answer 2

The order of the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3] is is g(x) >f(x) > h(x)

What is Function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

What is Exponential function?

A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

What is average rate of change?

It is a measure of how much the function changed per unit, on average, over that interval.

Given,

[tex]f(x) = 16(\frac{1}{2})^{x}[/tex]

interval = [0,3]

[tex]f(0)= 16(\frac{1}{2})^{0} =16 \\f(3)= 16(\frac{1}{2})^{3} =2[/tex]

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change= [tex]\frac{2-16}{3-0}=-4.67[/tex]

Consider the function g(x)

g(0)=21

g(3)=1

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change =[tex]\frac{1-27}{3-0}=-8.67[/tex]

Consider the exponential function

at x=0 the exponential function h =4

at x=0 the exponential function h =-3

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change =[tex]\frac{-3-4}{3-0}=-2.33[/tex]

Hence, the order of the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3] is g(x) >f(x) > h(x)

Learn more about Function, Exponential function and Average rate of change here

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Related Questions

1. If one zero of the quadratic polynomial kx² + 3x + k is 2 then the value of k is *

Answers

Answer:

Step-by-step explanation:

Given one zero of the quadratic polynomial kx² + 3x + k is 2,

Substitute x = 2 in the polyomial , we get

k(2)²+3×2+k = 0

=> 4k + 6 + k = 0

5k+6 = 0

5k= -6

k= -6/5

Therefore,

Value of k = -6/5

what is the correct symbol?

Answers

Answer:

Since 10/9 is greater than 1, multiplying by 10/9 makes the value larger

Step-by-step explanation:

Step 1: Solve the fraction

10/9 = 1.1112

Therefore 10/9 > 1

Step 2: Multiple the fraction by itself

10/9 x 10/9 = 100/81

Convert fraction to decimals

100/81 = 1.2345678901.....

1.234567901 > 1.1112

Therefore 10/9 x 10/9 is bigger than 10/9

[tex]x + 0.25 = -0.25[/tex]

Answers

Answer:

x = -0.5

Step-by-step explanation:

x + 0.25 = -0.25

x = -0.25 - 0.25

x = -0.5

jojo is twice as Old as esi who in turn is five years older than kweku . if their total age is 47,how is each of them​

Answers

Answer:

jojo is 26

esi is 13

and kweku is 8 years old.

Step-by-step explanation:

Let esi's age be x then jojo's age is 2x.

Also kweku's age is x - 5. as esi is 5 years older than kweku.

So  x + 2x + x - 5 = 47

4x = 47 + 5 = 52

x = 13.

So jojo's age is 2*13 = 26 and kweku's age is 13 - 5 = 8.

I am doing a online course on rational expressions, specifically complex fractions without variables, does anyone know what happens in the explanation where I marked it in red. I don't know what they did to get 15/14

Answers

Answer:

see below

Step-by-step explanation:

9/ 14

----------

3/5

9/14 ÷ 3/5

Copy dot flip

9/14 * 5/3

Rewriting

9/3 * 5/14

3 * 5/14

Multiply 3*5

15/14

Change from an improper fraction to a mixed number

14/14 + 1/14

1 1/14

Answer:

[tex]\boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

9/14 × 5/3

The factors can be canceled if they are factors of both the numerator of the first fraction and the denominator of the second fraction. The factors get cancelled leaving the second fraction to a whole number.

3/14 × 5

(3 × 5)/14

15/14

i’m not sure how to do this please help!

Answers

Answer:

sum of the interior angles x and y gives the exterior angle z

(4n-18)°+(n+8)°=(133-6n)°

4n°-18°+n°+8°=133°-6n°

4n°+n°-18°+8°=133°-6n°

5n°-10°=133°-6n°

5n°+6n°=133°+10°

11n°=143°

11°n/11°=143°/11°

n=13

exterior angle=133-6×13

=133-78

=55

WILL GIVE BRAINLIEST

Answers

intercept is the length from origin to intersection point of respective axis,

it intersects x axis at -7.5 and y is 0 so x intercept is (-7.5,0)

and similarly, y intercept is (0,5.5)

Answer:

(- 7.5, 0 ) and (0, 5.5 )

Step-by-step explanation:

The x- intercept is the value of x on the x- axis where the line crosses.

Here the line crosses the x- axis at - 7.5 , thus the coordinates of x- intercept

(- 7.5, 0 )

The y- intercept is the value of y on the y- axis where the line crosses.

Here the line crosses the y- axis at 5.5 thus the coordinates of the y- intercept

(0, 5.5 )

pls help with sum geometry

Answers

YES! quite easily.

I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal

and then there's a pair of vertically opposite angle at centre.

that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA

Answer:

[tex]\Large \boxed{\mathrm{D}}[/tex]

Step-by-step explanation:

The triangles can be proven by AA or Angle-Angle similarity.

[tex]\angle QUR \cong \angle TUS[/tex]

The vertical angles are congruent.

[tex]\angle R \cong \angle S[/tex]

The alternate interior angles are congruent.

5. Define Linear Pair.

Answers

Answer:

when 2 angles add up to 180 degrees, they form a linear pair

Step-by-step explanation:

Marlene's ratio of phone calls to text messages is 3 to 5.
If she makes 27 phone calls, how many texts does she
send?

Answers

Phone calls to texts is 3 to 5, so for every 3 phone calls she makes 5 texts:

Divide total phone calls by 3:

27/3 = 9

Multiply that by text ratio:

9 x 5 = 45

She sent 45 texts.

Which of the following are true statements about David Hilbert?
He invented the point.
He was a German mathematician.
n He developed Hilbert's axioms.
He wrote a blography on Euclid.
Hilbert's Improvements to geometry are still used in textbooks today.

Answers

Answer:

he invented the point

he was a German mathematician

he  Hilbert's improvements to geometry are still used in textbooks today

he developed Hilbert's axioms

Step-by-step explanation:

Answer:

He was a German mathematician.

If only one is true then you're good to go.

Whoops never mind.. :/


[tex]2x {}^{2} + 10x - 72[/tex]
What is the factor ​

Answers

Answer:

2(x-4) (x+9)

Step-by-step explanation:

help will mark brainlist if it correct If each edge of a cube is increased by 2 inches, the
A. volume is increased by 8 cubic inches
B. area of each face is increased by 4 square

C. diagonals of each face is increased by 2 inches
D. sum of these edges is increased by 24 inches

Answers

Answer:

D. sum of these edges is increased by 24 inches -- True

Step-by-step explanation:

Given a cube and its edge is increased by 2 inches.

To study the effect of this increase in the Volume, area of each face, diagonal and sum of edges.

Solution:

Let the side of original cube = a inches.

Formula for volume of cube:

[tex]V =side^3 = a^3[/tex]

If the side is increased by 2 inches, the side becomes (a+2) inches.

So, new volume, [tex]V' = (a+2)^3[/tex]

Using the formula:

[tex](x+y)^3 =x^3+y^3+3xy(x+y)[/tex]

[tex]V' = (a+2)^3 = a^3+8+3\times 2 \times a(a+2)=a^3+8+6a(a+2)[/tex]

So, [tex]V' = V + 8+6a(a+2)[/tex]

Volume increased by 8+6a(a+2) [which is not equal to 8]

So, statement is false:

A. volume is increased by 8 cubic inches  -- False

Each face in a cube is a square.

Area of each face, A = [tex]side^2 = a^2[/tex]

New area, A' = [tex](a+2)^2[/tex]

Using the formula: [tex](x+y)^2 =x^2+y^2+2xy[/tex]

[tex]A' = a^2+4+4a[/tex]

Area increased by 4+4a [which is not equal to 4 sq inches]

B. area of each face is increased by 4 square inches -- False

Diagonal of each face = [tex]a\sqrt2[/tex]

Increase of 2 in the edge:

New diagonal = [tex](a+2)\sqrt2 = a\sqrt2+2\sqrt2[/tex]

So, increase of [tex]2\sqrt2[/tex] not 2.

C. diagonals of each face is increased by 2 inches -- False

There are 12 number of edges in a square.

So sum of all 12 edges  = 12a

When edge is increased by 2, sum of all edges = 12(a+2) = 12a + 24

An increase of 24.

D. sum of these edges is increased by 24 inches -- True

1. $25; 30% increase

Answers

Answer:

32.5

Step-by-step explanation:

25, percentage increased by 30% (percent) of its value = 32.5

32.5 is the answer of this question

Find an equation of the line with x-intercept 8 and y-intercept 4

Answers

Answer:

 y = -1/2x + 4

Step-by-step explanation:

We have two points ( 8,0) and ( 0,4)

We can find the slope

m =(y2-y1)/(x2-x1)

    = (4-0)/(0-8)

    4/-8

   -1/2

We can use the slope intercept form

 y = mx+b where m is the slope and b is the y intercept

 y = -1/2x + 4

Answer:

Step-by-step explanation:

eq. of line with intercepts a and b is

[tex]\frac{x}{a} +\frac{y}{b} =1\\here ~eq. ~of ~line~ is ~ \frac{x}{8} +\frac{y}{4} =1\\or x+2y=8\\[/tex]

Matrix multiplication is not commutative. Why?

Answers

Answer:

For matrix multiplication to work, the columns of the second matrix have to have the same number of entries as do the rows of the first matrix. ... In particular, matrix multiplication is not "commutative"; you cannot switch the order of the factors and expect to end up with the same result.

There are approximately fifty five million metric tons of apples grown each year. It has been estimated that half of all the apples grown are eaten fresh. Approximately how many metric tons of apples are eaten fresh

Answers

Answer:

Twenty-seven and a half million metric tons of apples are eaten fresh.

Step-by-step explanation:

The amount of metric tons of apples that are eaten fresh is equal to the half of the total amount of metric tons. That is:

[tex]m = \frac{55,000,000\,m-ton}{2}[/tex]

[tex]m = 27,500,000\,m-ton[/tex]

Twenty-seven and a half million metric tons of apples are eaten fresh.

An average person's hair grows at a rate of 19cm per year how fast in inches per month does the average person hair grow in conversion factor round you answer to the nearest tenths

Answers

Answer:

Around 1.6 cm per month

Step-by-step explanation:

We can set up a proportion to find how much the hair grows per month. It's important to note that there are 12 months in a year, so we can represent a year as 12 months.

[tex]\frac{19}{12} = \frac{x}{1}[/tex]

We can now cross multiply:

[tex]19\cdot1=19\\\\19\div12=1.58\overline{33}[/tex]

1.58333... rounds to 1.6.

Hope this helped!

ast week, the Vargas family drove 30 miles in their car and 15 miles in their truck. The letter m stands for the total number of miles they drove. Which equation can you use to find m?

Answers

Answer:

m = 30 + 15

Step-by-step explanation:

The distance traveled by the Vargas family in their car is 30 miles while the distance traveled when using their truck is 15 miles. To get the total distance traveled, we need to add the distance traveled by the truck and the distance traveled by the car. Since m stands for the total number of miles they drove, the equation needed to find the total distance traveled (m) is given as:

m = 30 + 15

m = 45 miles

9.Find the perimeter of the triangle formed by points (0,4), (0,0) and (3,0)

(1 Point)

55


1212

1111

None of these


Answers

Answer:

              12

Step-by-step explanation:

A(0,0) ∧  B(3,0)  ⇒  AB = 3

A(0,0) ∧  C(0,4)  ⇒  AC = 4

From Pythagorean theorem:

AB² + AC² = AB²

3² + 4² = AB²

AB² = 9+16 = 25

AB = 5

Perimeter:  

               AB + AC + BC = 3 + 4 + 5 = 12

How many roots does the graphed polynomial function have?
A. 1
B. 2
C. 4.
D. 3 I’m

Answers

Answer:

3 roots

Step-by-step explanation:

The roots are the values of x on the x- axis where the graph crosses x- axis

The graph crosses the x- axis at 3 points, thus has 3 roots

Complete the following two-way frequency table.

Answers

Answer:

Step-by-step explanation:

Number of candies with Forest = 12

Candies containing coconut and chocolate both = Number common in coconut and the chocolate = 3

Candies which do not contain coconut but contain the chocolate = 6

Candies which contain the coconut but do not contain the chocolate = 1

Candies which neither contain the chocolate nor coconut = 2

From the given Venn diagram,

                                                Contain coconut         Do not contain coconut

Contain chocolate                              3                                       6

Do not contain chocolate                 1                                        2

If BH = 108, find DE.

Answers

Answer:

BH= 108 --> 1st until 6th space

so, 108/6 = 18 for each space

DE...?

DE only use 1 space so the answers is 18 unit

I hope this helps^_^

The dot plots show 9 scores on a 10 question trivia game for two students. Select all the statements that must be true.
..
:
2
3
5
6
7
4.
Noah's scores
...
2
3
5
6
7
Jada's scores
Noah's scores have greater variability than Jada's scores.
The standard deviation of Noah's scores is equal to the standard deviation of Jada's scores.
The mean of Noah's scores is greater than the mean of Jada's scores.
Noah scored better than Jada on every assignment.
Using only Noah's scores, the mean is equal to the median
d
e

Answers

Answer:

The correct statements are b, c and e.

Step-by-step explanation:

Consider the dot plot for Noah and Jada's score in the trivia game.

From the dot plot it is quite clear that the data form a bell-shaped curved or a normal curve.

For the normal distribution:

Mean = Median = Mode

Noah's mean score = 5

Jada's mean score = 3

The standard deviation of a data set is the measure of dispersion of the observations of that data set from their mean.

On closely studying the graphs we can see that the Noah and Jada's scores are almost at a same distance from the mean, i.e. the spread of Noah's score is same as the spread of Jada's score.

So, the correct statements are:

b. The standard deviation of Noah's scores is equal to the standard deviation of Jada's scores.

c. The mean of Noah's scores is greater than the mean of Jada's scores.

e. Using only Noah's scores, the mean is equal to the median

You make a pattern bydrawing three similar rectangles. The widthof the smallest rectangle is45of the width ofthe medium-sized rectangle. The width ofthe medium-sized rectangle is45of thewidth of the largest rectangle. The largestrectangle is 12 inches long and 8 incheswide. Find the dimensions of the smallestrectangle. Explain your reasoning.

Answers

Answer:

5.12 in. by 7.68 in.

Step-by-step explanation:

In similar triangles, the ratios of the lengths of corresponding sides are equal.

width of medium triangle = 4/5 width of large triangle

width of medium triangle = 4/5(8 in.) = 6.4 in.

length of medium triangle = 4/5 length of large triangle

length of medium triangle = 4/5(12 in.) = 9.6 in.

width of small triangle = 4/5 width of medium triangle

width of small triangle = 4/5(6.4 in.) = 5.12 in.

length of small triangle = 4/5 length of medium triangle

length of small triangle = 4/5(9.6 in.) = 7.68 in.

Which expressions are equivalent to 2(4f+2g)2(4f+2g)2, left parenthesis, 4, f, plus, 2, g, right parenthesis ? Choose 3 answers: Choose 3 answers: (Choice A, Checked) A 8f+2g8f+2g8, f, plus, 2, g (Choice B) B 2f(4 + 2g)2f(4+2g)2, f, left parenthesis, 4, plus, 2, g, right parenthesis (Choice C) C 8f+4g8f+4g8, f, plus, 4, g (Choice D, Checked) D 4(2f+g)4(2f+g)4, left parenthesis, 2, f, plus, g, right parenthesis (Choice E) E 4f+4f+4g4f+4f+4g

Answers

Answer:

8f + 4g

Step-by-step explanation:

Given

2(4f + 2g)

Required

Determine the equivalent expression

2(4f + 2g)

Open the bracket

2 * 4f + 2 * 2g

Perform right operations on the above

8f + 4g

The expression cannot be further simplified; Hence the result of  2(4f + 2g) when simplified is 8f + 4g

Answer: 8f + 4g also 4(2f + g) and 4f + 4f+ 4g

Step-by-step explanation:

What is the volume of this rectangular prism?
2 cm
7/3 cm
2 cm

Answers

Answer
9.3
Explanation
I got it right

Answer:

28\3

Step-by-step explanation:

can someone help? Please

Answers

Answer: I can’t help with that because there should be a graph

Step-by-step explanation:

12x + 4y = 152 32x + 12y = 420 what is y?

Answers

Answer:

the value of x = 9  and y =11.

Given the system of equation:

12x + 4y =152                  .......[1]

32x + 12y = 420              ......[2]

Multiply equation [1] by 3 we get;

Using distributive property:  

            ......[3]

On solving equation [2] and [3] simultaneously we get;

x = 9

Substitute the value of x= 9 in [1] to solve for y;

108 + 4y = 152

Subtract 108 from both sides we have;

108 + 4y -108 = 152- 108

Simplify:

4y = 44

Divide both sides by 4 we get;

Simplify:

y= 11

therefore, the value of x = 9  and y =11.

Solve the system by substitution.
y = -2
y =
5x + 40

Answers

Answer:

x = 8.4

y = -2

Step-by-step explanation:

Step 1: Sub y=-2 into y=5x + 40

-2 = 5x + 40

Step 2: Solve for 'x'

-2 = 5x +40

-42 = 5x

x = 42/5

x = 8.4

Step 3: Solve for 'y'

y is given in the question, y=-2

That should be negative 4 as it divided into 40
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