C
An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the
functions over the interval 0≤x≤1?
-1
-1
2
O The exponential grows at half the rate of the quadratic.
O The exponential grows at the same rate as the quadratic.
The exponential grows at twice the rate of the quadratic

Answers

Answer 1

The correct answer is option b which is the exponential grows at the same rate as the quadratic.

The complete question is given below with the graph attached:-

An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the functions over the interval

a. The exponential grows at half the rate of the quadratic.

b.The exponential grows at the same rate as the quadratic.

c.The exponential grows at twice the rate of the quadratic.

d.The exponential grows at four times the rate of the quadratic.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given an exponential function, say f(x), such that f(0) = 1 and f(1) = 2 and a quadratic finction, say g(x), such that g(0) = 0 and g(1) = 1.

The rate of change of a function f(x) over an interval

a ≤ x ≤ b

is given by

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Thus, the rate of change (growth rate) of the exponential function, f(x) over the interval

0 ≤ x ≤ 1

is given by

[tex]\dfrac{f(1)-f(0)}{1-0}= \dfrac{2-1}{1}=1[/tex]

Similarly, the rate of change (growth rate) of the quadratic function, g(x) over the interval

0 ≤ x ≤ 1

is given by

[tex]\dfrac{g(1)-g(0)}{1-0}=\dfrac{1-0}{1}=1[/tex]

Therefore, the exponential grows at the same rate as the quadratic in the interval .

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CAn Exponential Function And A Quadratic Function Are Graphed Below. Which Of The Following Is True Of

Related Questions

Which are factors of x² - 4x - 5? Select two options.
(x - 5)
0 (x-4)
0 (x-2)
0 (x + 1)
0 (x + 5)

Answers

Answer:

(x-5) & (x+1)

Step-by-step explanation:

Answer:

(x - 5) and (x + 1)

Step-by-step explanation:

x² - 4x - 5

consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)

the factors are - 5 and + 1 , since

- 5 × + 1 = - 5 and - 5 + 1 = - 4 , then

x² - 4x - 5 = (x - 5)(x + 1)

What are all of the possible classifications for a 3 × 3 system?.

Answers

Answer:

consistent and dependent

consistent and independent

Step-by-step explanation:

If a system of equations has no solutions, it is said to be inconsistent.

If a system of equations has at least one solution, it is said to be consistent.

If there is just one solution to a system of equations, it is said to be independent.

If a system of equations has an unlimited number of solutions, it is dependent.

A 3 x 3 system of equations is a three-variable system of equations. That is correct (x, y, z)

A three-by-three-equation system might be dependent, independent, or inconsistent.

A 3 x 3 system of equations can be written as follows:

consistent and self-sufficient (This indicates that there is just one answer.)

Dependable and consistent (It has infinite solutions)

If it is inconsistent, it can neither be dependent nor independent

what's a frustum and what's the formula of the Almighty Formula​

Answers

Answer:

the portion of a solid that lies between one or two parallel planes cutting it

Step-by-step explanation:

A shipment of tile cost $64,500. each tile costs 15 dollars. how many pieces of tile are in the shipment?

Answers

Answer:

4,300

Step-by-step explanation:

total cost of the shipment of tile cost =$64,500

each tile cost =$15

how many pieces will now be the total cost of shipment tile divided by the cost of each tile

which will be

64500/15

=4,300 tiles are there

i am glad I helped

When f(a) = 227 + 32 - 3, evaluate f( - 1)


helpp

Answers

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} + 3x - 3[/tex]

[tex]f( - 1) = 2. {( - 1)}^{2} + 3.( - 1) - 3[/tex]

[tex]f( - 1) = 2 - 3 - 3[/tex]

[tex]f( - 1) = - 4[/tex]

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-m-2=2+
m
O 2
O 3
04
O 5

Answers

The answer should be D

If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of when x is 11?

Answers

Answer:

 [tex]\frac{18}{5}[/tex] (11)

Step-by-step explanation:

If it varies directly, you need to find k, the constant of proportionality.

This is done by plugging the values in for x & y that are known.

y = kx

18 = k(5)

[tex]\frac{18}{5}[/tex] = k

Now solve for y  when x is 11.

y = [tex]\frac{18}{5}[/tex] (11)

y = 39.6

What are the solutions to the system of equations?

Graph the system of equations to solve.
(−4,2) and (2,−1)
(0,0) and (−4,2)
(0,0) and (0,−2)
(2.9,0) and (−2.9,0)

Answers

Graphically, we will see that the solutions of the system are (−4,2) and (2,−1)

How to solve the system of equations?

To solve the system of equations graphically, we need to graph both of the equations and see in which points the graphs intercept.

The graph of the system can be seen below, there you can see that the intercepts are at:

(-4, 2) and (2, -1)

So these are the two solutions of the system of equations.

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I need help solving this

Answers

Answer: y = -x + 5

Step-by-step explanation:

      A slope-intercept equation is in the form y = mx + b where m is the slope and b is the y-intercept. Since we are given the slope, we will plug it in with the point they gave us, and solve for b.

y = mx + b

(1) = (-1)(4) + b

1 = -4 + b

5 = b

      Lastly, we will write our equation by substituting m with -1 and b with 5.

y = mx + b

y = -1x + 5 or y = -x + 5

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If F(x) = 7x - 3 and g(x) = x2, what is (g ° f)(1)?

Answers

Answer:

16

Step-by-step explanation:

If f(x)=7x-3 and g(x)=x²,

(g•f)(1)= g(f(1))

bit : f(1) =7(1)-3 = 4

(g•f)(1)= g(f(1)) = g(4) = 1² = 16

I hope this was helpful :)

Can anyone help me with this it would be great.

Answers

Answer:

11. The student put 24 as the diameter instead of the radius.

12. 48 pi

Step-by-step explanation:

The formula for the circumference of a circle is c = pi x diameter.

However, the question says that the radius is 24m, not the diameter.

To fix it, all you need to to is double the radius to get 48m for the diameter.

48 x pi = 48 pi

Answer:

The error is that he made the radius a diameter.The circumstances is 150.8571428 m

Step-by-step explanation:

π = 22/7 or 3.14

Circumference= diameter × 22 / 7

= 2 × radius × 22 / 7

= 2 × 24 × 22/ 7

= 48 × 22 / 7

= 48 / 1 × 22 / 7

= 1056 / 7

= 150.8571428 m

Given a function f : a → b and a subset y ⊆ b, is f (f −1 (y)) = y always true? prove or give a counterexample

Answers

If the subset y is the empty set, then the statement is false. That is the counterexample.

Is the statement true?

We know that for an invertible function, we always have that:

[tex]f(x) = y\\f^{-1}(y) = x[/tex]

Now, the range of f(x) is the set b. This means that the domain of the inverse is the set b. Such that:

f^{-1} is defined on b→a

Now we want to work on a subset y ⊆ b.

And here comes the problem.

The empty set {∅} is a subset of ay other set. So, if y is the empty set, there are no elements where we can evaluate the inverse function. From that counterexample, we conclude that the statement is false.

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Drag each tile to the correct box. Not all tiles will be used.
Place the steps for finding in the correct order.

Answers

Answer+Step-by-step explanation:

[tex]f^{-1}\left( x\right) =\frac{1}{7} x^{2}+3 \ ,\text{where}\ x\geq 0[/tex]

What is the solution (a+b) to this system of linear equations

3a+6b=45

2a-2b=12

Answers

The value of the equation a + b is 12

How to determine the solution?

The system of equations is given as:

3a + 6b = 45

2a - 2b = 12

Multiply the second equation by 1.5

3a - 3b = 18

Subtract this equation from the first equation to eliminate a

9b = 27

Divide by 9

b = 3

Substitute b = 3 in 2a - 2b = 12

2a - 2*3 = 12

Divide through by 2

a - 3 = 6

Add 3 to both sides

a = 9

So, we have:

a + b = 9 + 3

Evaluate

a + b = 12

Hence, the value of the equation a + b is 12

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I am a nine digit number. my tens place is 2. ones place is 3 more than tens place . hundreds place is between 7 and 9. ten thousands place is 3 multiplied by tens place . lakhs place is successor of tens place. ten lakhs place is predecessor of hundreds place . crores place is between 8 and 10. ten crores place is 7 more than tens place. what number am i

Answers

Answer:

nmj

e

w

w

w

w

w

w

w

w

w

wej i2v82v2ivw8q

Step-by-step explanation:

h2iwv282vw8wvq

According to the table below, which of these is a possible taxable income for
a taxpayer filing with the Single filing status in the 33% federal income tax
bracket?

Answers

Based on the table, a possible taxable income for a taxpayer that's filing with the Single filing status in the 33% federal income tax bracket is $300,000.

What is taxation?

Taxation is the involuntary fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public projects, institutions and activities.

In this scenario, we can infer and logically deduce that a possible taxable income for a taxpayer that is filing with the Single filing status in the 33% federal income tax bracket is $300,000.

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can someone help me with this ??
Order the following numbers from least to greatest.

Answers

According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19

Descending and ascending order

Ordering a sequence of number from least to greatest is known as the ascending order of magnitude

Given the following parameters

∛64, √19 and 4.222...

The cube root of 64 is 4

The square root of 19 is 4.36

While the repeating decimal 4.2. can be 4.2222...

Ordering from least to greatest is 4, 4.2222, 4.36

According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19

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What are the solutions of the equation x4 - 5x2 - 14 = 0? Use factoring
to solve.

Answers

Answer:

x = ±√7, ±i√2

Step-by-step explanation:

[tex]x^4-5x^2-14=0\\(x^2-7)(x^2+2)=0\\[/tex]

[tex]x^2 - 7 = 0[/tex] or [tex]x^2 + 2 = 0\\[/tex]

x^2 - 7 = 0

x^2 = 7

x = ±√7

or x^2 + 2 = 0

x^2 = -2

x = ±i√2

Can someone help me please

Answers

Answer:

b i just toke the test

jejsjsjsjsjsjsjsjs

Answer:

[tex] \boxed{\bf A)\: 3 \: units}[/tex]

Step-by-step explanation:

Given that, the area = 9π units²

Area of a circle = πr²

So...

[tex]\bf {\pi}r^{2} = 9\pi[/tex][tex]\bf {r}^{2} = 9[/tex][tex]\bf r = 3 \: units[/tex]---------------------------

1. In a class of 24, 3 students were absent, What fraction of class is present

2. Karen taped a television show that lasted 1h 30mins. On the same tape she recorded another 2 shows that were 5/6h each. What time was still left on the 4h tape.

3. Steve ordered 12 lengths of timber, each 6m long. He cut 6 lengths into 1 1/2m pieces and the other 6 lengths into 3/4 pieces A. How many pieces together is this? B. Was there any waste?

Answers

Problem 1

Answer:  7/8 of the class is present

Reason:

24 people total with 3 absent. So 24-3 = 21 are present

21/24 = (7*3)/(8*3) = 7/8

==========================================================

Problem 2

Answer:  50 minutes left on the tape.

Work Shown:

1 hour = 60 min

(5/6)*(1 hour) = (5/6)*(60 min)

5/6 of an hour = 50 min

1 hr + 30 min = 60 min + 30 min = 90 min

The first show is 90 minutes. Add on two more shows that are 50 min each to get 90+50+50 = 190 minutes used up

4 hours = 4*60 = 240 min

240 - 190 = 50 min

There are 50 minutes left on the tape.

==========================================================

Problem 3

Answer:  72 pieces; not enough info to calculate the waste

Explanation:

1 1/2 = 1 + 1/2 = 1 + 0.5 = 1.5

6/(1.5) = 4

Each 6 meter board is cut into 4 equal pieces each 1.5 meters long

There are 6 boards this applies to which means so far that's 6*4 = 24 pieces

Now to the other 6 boards.

3/4 = 0.75

6/(0.75) = 8

Each of the other 6 boards are cut into 8 equal pieces of 0.75 meters each

That's another 6*8 = 48 pieces

In total there are 24+48 = 72 pieces

When cutting into wood, there always is a small sliver that is discarded. While small, these slivers do add up. So yes there is some waste. Unfortunately, we don't have enough info to calculate. We would need to know the width of the saw blade.

Which statement is true?
O When an altitude is drawn from the right angle in a right triangle it creates two similar triangles.
O When an altitude is drawn from an acute angle in a right triangle it creates three similar triangles.
O When an altitude is drawn from the right angle of a right triangle it creates three similar triangles.
O When an altitude is drawn from an acute angle in a right triangle it creates two similar triangles.

Answers

Answer:

C) When an altitude is drawn from the right angle of a right triangle it creates three similar triangles.

Step-by-step explanation:

The Inscribed Similar Triangles Theorem states that if an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other.

5.7x10^6 as an ordinary number​

Answers

Answer:

5700000

Step-by-step explanation:

What is the solution set for Ix+3| =5?
S-8 and s-8
s=-2 and s=2
s=-8 and s=2
s = 2 and s= 8

Answers

the answer would be x = 2 , x = 8

Choose the function whose graph is given below.

Answers

The graph represents the trigonometric function y = cotx option (C) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have shown a trigonometric graph in the picture.

As we know:

At x = 0

tan0 = 0

But cotx at x = 0 does not defined.

The csc x and sec x are the reciprocal of sinx and cosx and the sinx and cos have a sinusoidal graph.

Thus, the graph represents the trigonometric function y = cotx option (C) is correct.

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On a coordinate plane, a right triangle has points A (negative 5, negative 6), B (negative 5, negative 2), C (negative 2, negative 2). Examine the right triangle ABC. Which rise and run would create a similar right triangle on the same line? a rise of 6 and a run of 8 a rise of 8 and a run of 6 a rise of 6 and a run of 5 a rise of 5 and a run of 6

Answers

The rise and run that would give us a similar right triangle on the same given line is: B. a rise of 8 and a run of 6.

What is the Rise and Run of Points on the Same Line?

The rise/run of any two points on the same line are have the same slope value.

Given the coordinates:

A(-5, -6)B(-5, -2)

The rise of triangle ABC = change in y = 4 units

The run of triangle ABC = change in x = 3 units

Rise/run = 4/3

Therefore, a rise of 8 and a run of  6 would give us: 8/6 = 4/3.

This will give us a triangle similar to triangle ABC.

Therefore, the answer is: B. a rise of 8 and a run of 6.

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What is the solution set for -1<-2f+1<9? Please show work and chose a b c and d

Answers

The solution set is 1 ≥ f ≥ -4, and the correct number line is the one in option A.

How to find the solution set?

Here we have the inequality:

-1 ≤ -2f + 1 ≤ 9

To solve this, we need to isolate the "f" on the middle.

First, we can subtract 1 in both sides to get:

-2  ≤ -2f ≤ 8

Now we need to divide both sides by -2, remember that this will change the direction of the symbols:

-2/-2 ≥ f ≥ 8/-2

1 ≥ f ≥ -4

So we need to have a line that starts at -4 and ends at 1, the correct option is number line A.

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The volume of the cube is given as V= x³, where x is the side length of the cube. Find the domain of the volume of
the cube.

Answers

Answer: None of the choices

Step-by-step explanation:

1. It couldn't be integers (whole numbers positive or negative), because a cube couldn't have a negative volume.

2. It could be natural numbers, but the problem is, that a volume could have decimal values, for example, 3.62 meters cubed which a natural number doesn't support.

3. Set of whole numbers is the same as integers, so it can't be that.

4. None of the choices, which in my opinion is the correct one.

I'm not sure it is correct, but I hope I helped you!

ap:3, 2, 1....
what is its coomon difference ​

Answers

Answer:

-1

Step-by-step explanation:

3-1=2

2-1=1

Which equation represents the graph below?

Answers

Answer:

D

Step-by-step explanation:

The slope-intercept form is the equation of a straight line (y=mx+b)

m= gradient and b= y-intercept

m=2/3 (rise over run)  b= 4 (it goes through the point (0,4)

y=(2/3)x+4

Get rid of the fraction by multiplying everything by 3

3y=2x+12

which is also -2x+3y=12

Give the fact that connects the look below there is image two angles labelled below.
Use this fact to find the value of c in degrees ().
C
74°
Not to scale

Answers

Assuming that both lines are parallel, we conclude that C = 74°.

How to find angle C?

Here we can see that both of the lines that go upwards are parallel lines. This means that C and the 74° angles are opposite angles.

Then if we say that x is the angle at the right of the 74°, we must have that:

x + 74° = 180°

x = 180° - 74° = 106°

And we also must have that:

x + C = 106° + C = 180°

Solving for C:

C = 180° - 106° = 74°

C = 74°.

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