Consider the quadratic function shown in the table below. x y 0 0 1 3 2 12 3 27 Which exponential function grows at a faster rate than the quadratic function for 0< x < 3?

Answers

Answer 1

So values are

(0,0)(1,3)(2,12)(3,27)

The rule is

3/1=312/2=627/3=9

Explicit formula

x(3x) where x is set of integers

Equation here is

y=3x²

Answer 2

Answer:

[tex]f(x)=4^x[/tex] grows at a faster rate than the given quadratic function.

Step-by-step explanation:

Given table:

[tex]\large \begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} 0 & 0 \\\cline{1-2} 1 & 3 \\\cline{1-2} 2 & 12 \\\cline{1-2} 3 & 27 \\\cline{1-2}\end{array}[/tex]

First Differences in y-values:

[tex]0 \overset{+3}{\longrightarrow} 3 \overset{+9}{\longrightarrow} 12 \overset{+15}{\longrightarrow} 27[/tex]

Second Differences in y-values:

[tex]3 \overset{+6}{\longrightarrow} 9 \overset{+6}{\longrightarrow} 15[/tex]

As the second differences are the same, the function is quadratic.

The coefficient of [tex]x^2[/tex] is always half of the second difference.

Therefore, the quadratic function is:

[tex]f(x)=3x^2[/tex]

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

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

Therefore, the average rate of change for [tex]f(x)=3x^2[/tex] over the interval
0 ≤ x ≤ 3 is:

[tex]\textsf{Average rate of change}=\dfrac{f(3)-f(0)}{3-0}=\dfrac{27-0}{3-0}=9[/tex]

An exponential function that grows at a faster rate than [tex]f(x)=3x^2[/tex] over the interval 0 ≤ x ≤ 3  is [tex]f(x)=4^x[/tex]

[tex]\large \begin{array}{| c | c | c | c | c |}\cline{1-5} x & 0 & 1 & 2 & 3 \\\cline{1-5} f(x)=4^x & 1 & 4 & 16 & 64\\\cline{1-5} \end{array}[/tex]

[tex]\textsf{Average rate of change}=\dfrac{f(3)-f(0)}{3-0}=\dfrac{64-1}{3-0}=21[/tex]

As 21 > 9, [tex]f(x)=4^x[/tex] grows at a faster rate than [tex]f(x)=3x^2[/tex] over the interval 0 ≤ x ≤ 3.

Consider The Quadratic Function Shown In The Table Below. X Y 0 0 1 3 2 12 3 27 Which Exponential Function

Related Questions

2 x (6÷2 +8) -4 Help me ​

Answers

Answer:

22x-4

Step-by-step explanation:

2x(3+8)−4

Simplify  3+8 to 11.

2x×11−4

Simplify  2x times 11 to 22x.

22x−4


2. Triangle EFG is a sketch of a triangular community garden that has an area of 47.1 square feet.

Trigonometric area formula: Area = 1/2 a b sin(C)

To the nearest foot, what amount of fencing is needed to surround the
perimeter of the flower bed?

G E F E= 45 degrees EF=12ft F=62 degrees

Answers

Answer:

32ft

Step-by-step explanation:

Let me know if you have any questions ! (or my sketch is different)

everything was rounded to the nearest foot and due to this the new area is 49.5...

Y=5+x how do we solve for x?

Answers

What is Y because then you can do for example if Y is 15 then we would do 10+5 but if you don’t know what Y is then I will try to work it out tomorrow evening because now it is like 11:33 at night.

URGENT!! VERY HARD QUESTION. WHAT IS 2+2?? NEED ANSWER RIGHT NOW!!

Answers

Answer:

4

Step-by-step explanation:

2+2=4

a right cylinder has a height of 22 1/4ft and a diameter 2 2/5 times it’s height. what is the volume of the cylinder

Answers

Answer:

                         

Step-by-step explanation:

Answer:

Check Below

Step-by-step explanation:

given things  : 1. height of cone  = 22* 1/4 feet or  89/4 feet

                       2.  diameter of cylinder = 2* 2/5 times of height

                                                          =  12/5 times of height or 12/5 * 89/4

                                                           = 89*3/5 feet

now formula of volume of cone =  Pi R² * H

                                                       = (3.14) ( D/2)² * H

                                                       = (3.14)*  (89*3/10)² * 89/4

                                                       = (3.14) * (26.7)² * 22.25

                                                       = (3.14) * 712.89 * 22.25

                                                       =  (49806.06)

Hope u find this answer Helpful !

A cube with a side length of 6 feet is sliced diagonally such that it passes through the three vertices shown in the figure. which describes the cross section? a cube. a cross section is a triangle that touches 3 corners of the cube. a triangle with 3 equal sides measuring 6 feet a triangle with 3 equal sides measuring greater than 6 feet a triangle with only 2 equal sides measuring 6 feet a triangle with only 2 equal sides measuring greater than 6 feet

Answers

Answer:

Its C.

Step-by-step explanation:

Answer:

"C"

Step-by-step explanation:

It's "C" on the other brainly as well -_-

What is the 12th term of the sequence -2,-4,-6,...........-100?

Answers

Answer:

-24

Step-by-step explanation:

The common difference (D) is -2. And A1 is -2. so if you just add -2 to the geometric sequence until A12, you would get -24.

What will be the new function g(c) if f(x) = 2^x is translated 2 units down and
3 units left?

Answers

Answer:

The new function is

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

Please help me, I need an answer as soon as possible.

Answers

Answer:

[tex]\huge\boxed{\sf x = \pm \sqrt{7} }[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=x^2-7[/tex]

We can also write it as:

[tex]y =x^2-7[/tex]

x-intercept is the point where y = 0

Put y = 0 in the above equation

[tex]0=x^2-7\\\\Add \ 7 \ to \ both\ sides\\\\7 = x^2\\\\Take \ sqrt \ on \ both \ sides\\\\\pm \sqrt{7} =x\\\\x = \pm \sqrt{7} \\\\\rule[225]{225}{2}[/tex]

Which of the following is a rational function?
O A. F(x) =
x² +5x-6
3x
OB. F(x)=x-x+8
O C. F(x)=√2x-1+9
OD. F(x) = -7x+15

Answers

Answer:c

Step-by-step explanation:

The function x² +5x-6/3x is a rational function, option A is correct.

What is a function?

A relation is a function if it has only One y-value for each x-value.

x² +5x-6/3x is a rational function, as it can be written in the form:

F(x) = (x² + 5x - 6) / (3x)

where the numerator and denominator are polynomials.

F(x)=x-x+8 is not a rational function, as it simplifies to F(x) = 8, which is a constant and not a fraction.

F(x)=√2x-1+9 is not a rational function, as it contains a square root and cannot be expressed as a ratio of two polynomials.

F(x) = -7x+15 is not a rational function, as it is a polynomial and not a fraction.

Therefore, the function x² +5x-6/3x is a rational function, option A is correct.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

-2x + 4y = 12

5x - 2y = 10



To answer please type altogether with no spaces. For example if your answer is negative three positive four, type (-3,4)

Answers

Answer:

(4,5)

Step-by-step explanation:

-2x + 4y = 12

5x - 2y = 10

make them both set to y

4y = 2x + 12 -> y = 1/2x + 3

2y = 5x - 10 -> y = 5/2x - 5

since they're both equal to y, they are equal to each other

1/2x + 3 = 5/2x - 5

2x = 8

x = 4

plug it back in to get y

y = 1/2 (4) + 3

y = 5

Dave wants to buy a classic leather flight jacket that is being sold for $60 less than the normal price. if the jacket normally costs $300, by what percent is it being discounted?
(the answer to your equation will be a decimal. don't forget to convert your answer to a percent)

Answers

Answer: 500%

Step-by-step explanation: 300/60 = 5

5 = 500%

To check work:

60*5 = 300

A scientist is interested in the relationship between the number of eggs hatched per day for frogs (y) and temperature. Based on
the collected data, the least-squares regression line is ý = 15.66 +3.58x, where x is the number of degrees by which temperature
exceeds 60 degrees Fahrenheit. Which of the following statements best describes the meaning of the slope of the least-squares
regression line? (3 points)
For each increase of one degree Fahrenheit per day, there is an estimated increase of 15.66 hatched eggs.
O For each increase of one hatched egg, the estimated temperature per day increases by 15.66 degrees Fahrenheit.
O For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs.
For each increase of one hatched egg, the estimated temperature per day increases by 3.58 degrees Fahrenheit.
The slope has no meaning because the units of measure for x and y are not the same.

Answers

There is an estimated rise of 3.58 hatched eggs for every one degree Fahrenheit increment every day. Then the correct option is B.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A scientist is interested in the relationship between the number of eggs hatched per day for frogs (y) and temperature.

Based on the collected data, the least-squares regression line is y = 15.66 +3.58x, where x is the number of degrees by which temperature exceeds 60 degrees Fahrenheit.

For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs.

Thus, the correct option is B.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer: For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs

Step-by-step explanation:

took the test :)

HELP PLEASE ILL GIVE BRAINLEST

Answers

Answer:

y= 40 degree

Step-by-step explanation:

ACD+CDA+DAC= 180 degree

y+ 90+30+20= 180 degree

y+140 = 180

y= 180- 140 degree

y= 40 degree

Hope it helps you :)))))

have a good day

would someone help me 2/3 2/1 8/9 7/9 breast to least​

Answers

Answer:

First of all, it's the Greatest to least! Second of all, 2/1, 8/9, 7/9, and 2/3.

Step-by-step explanation:

2/1 is 2, 8/9 is 1 more ninth than 7/9, and 2/3 is less third than 1.

Answer:

It is 2/1 then 2/3 then 7/8 then 8/9  i hope this helps you friend

Step-by-step explanation:

Can someone please help me?

Answers

Answer:

m1= 63°m2=117°m3=63°

Step-by-step explanation:

a straight line equals 180°. so if one side is 117°, the other side would have to add up to 180.

180-117=63

And you can kind on figure out what is the same as the other angles. Hope his helps

Nandlal bought 20 dozen notebooks at Rs.156 per dozen.He sold 8 dozens of them at 10% gain and the remaining 12 dozens at 20% gain.What is his gain percent on the whole transaction?

Answers

Answer:

[tex]8(156 \times 1.1) + 12(156 \times 1.2) [/tex]

3^2+ square root of 36-2x10

Answers

Answer:

-5

Step-by-step explanation:

9+6-2*10

15-20

= -5

Which graph below shows the solutions for the linear inequality y2-x+1?

Answers

Answer:

The answer will be 1 + y2 - x

write in point slope form an equation of the line that passes through the given point and has the given slope: (0,1); m= 2

A. y - 0 = 2 (x - 1)
B. y - 1 = 2 (x - 0)
C. y + 1 = 2 (x + 0)
D. y + 0 = 2 (x + 1)

Answers

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

         Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

Point-slope form:-

      [tex]\sf{y-y_1=m(x-x_1)}[/tex]

Substitute 1 for y₁, 2 for m, and 0 for x₁:-

[tex]\sf{y-1=2(x-0)}[/tex]

So we conclude that Option B is correct.

Good luck.

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

-please help im so dum dum and id like therapy < <<<<<<<<33333333 TYY
-20 -8 + (-12)

Answers

Answer:

Step-by-step explanation:

-40

−20−8-12

−28−12

-40

Which of the following ordered pairs are y-intercepts? Check all that apply.
(4, 0)
(–1, 1)
(0, 0)
(0, –7)
(–2, –2)
(0, –0.25)

.

Answers

(0,0) , (0,-7), (0,-0.25)

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

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

       Which of the following ordered pairs are y-intercepts?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

All y-intercepts have an x-coordinate of 0.

So a y-intercept looks like this:-

[tex]\sf{(0,b)}[/tex]

Where:-

        b - y-intercept

So we conclude that the right options are:-

[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0,0)

[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0, -7)

[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0, -0.25)

Good luck.

         

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

What is the constant of proportionality shown in the table?

Answers

The constant of proportionality shown in the table that shows the cost and the number of books is 3.

What is the constant of proportionality ?

When there is a direct proportional relationship, it means that as the value of one variable increases, the value of the other variable also increases. As the number of books increases, the cost increases.

Direct proportion: y = kx

Where:

y = dependent variable k = constant of proportionality x = independent variable

k = y/x

6/2 = 3

To learn more about constant of proportionality, please check: https://brainly.com/question/27573249

#SPJ1

Answer:3

Step-by-step explanation:

4 kg of bananas and 3 kg of apples cost £7.50. 3kg of bananas and 5 kg of apples cost £8.10. work out how much 2kg of bananas and 2kg of apples cost​

Answers

Answer:

£4.20

Step-by-step explanation:

Let :

cost of 1 kg banana = xcost of 1 kg apple = y

Equations formed :

4x + 3y = 7.50 [Equation 1]3x + 5y = 8.10 [Equation 2]

Multiply Equation 1 by 5 and Equation 2 by 3 :

20x + 15y = 37.509x + 15y = 24.30

Subtract the newly formed equations :

11x = 13.20x = 1.20

Finding y :

4(1.20) + 3y = 7.504.80 + 3y = 7.503y = 2.70y = 0.90

Then :

Cost of 1 kg banana = £1.20Cost of 1 kg apple = £0.90

Cost of 2 kg bananas and 2 kg of apples :

2(1.20) + 2(0.90)2(2.10)£4.20

Solve the following equation for b.

13b = 6b + 14

Answers

Answer: 2

Step-by-Step Explanation:

=> 13b = 6b + 14
= 13b - 6b = 14
= 7b = 14
= b = 14/7
=> b = 2

Therefore, b = 2

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

[tex]\diamond\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

                Solve the following equation for b.

13b=6b+14

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

❖ First of all, we need to make sure that all the variables are on one side (the left-hand side, LHS) and numbers are on the right-hand side, RHS.

Here we have variables on the right-hand side, so we can move that term to the left-hand side, making sure to use the opposite operation:-

13b=6b+14              Subtract 6b on both sides, which results in:-

7b=14                      Divide by 7 on both sides, which results in:-

b=2                         We've found the value of b. Now, we need to check our solution by replacing b with the value of b, 2, and seeing whether or not we end up with a true statement:-

13(2)=6(2)+14                 Multiply.

26=12+14                       Now add.

26=26                          Since the left-hand side does equal the right-hand side, we conclude that our solution, b=2, is correct.

Good luck with your studies.

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

Help me please help me

Answers

Answer:

3/10

Step-by-step explanation:

Decimals and fractions are similar 4/5 is 0.8 and 1/2 is 0.5 The F has to be 0.3 to make a 4/5. 0.3 in fraction is 3/10

Joe's Fabric Store purchased 6 bolts of fabric at $150.00 per bolt. Each bolt contained 50 m of fabric. If the fabric was retailed at $8.00 per metre, calculate the profit or loss.​

Answers

answer: $1500 profit


reasoning:

the store purchased 300 m of fabric at $900 (6 x 50 = 300; 6 x 150 = 900).

the retail price for all that fabric would be $2400 ($8 x 300 m = $2400).

$2400 - $900 = $1500

6a+6b Factorise these expressions.

Answers

factor by recognising there is a common factor of 6
so 6a + 6b = 6(a + b )

How can you prove that csc^2 θtan^2 θ-1=tan^2 θ?

Answers

[tex]\stackrel{\textit{Pythagorean Identities}}{1+tan^2(\theta)=sec^2(\theta)}\implies tan^2(\theta ) = sec^2(\theta )-1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc^2(\theta )tan^2(\theta )-1~~ = ~~tan^2(\theta ) \\\\[-0.35em] ~\dotfill[/tex]

[tex]csc^2(\theta )tan^2(\theta )-1\implies \cfrac{1}{sin^2(\theta )}\cdot \cfrac{sin^2(\theta )}{cos^2(\theta )}-1\implies \cfrac{1}{cos^2(\theta )}-1 \\\\\\ \cfrac{1^2}{cos^2(\theta )}-1\implies \left[ \cfrac{1}{cos(\theta )}\right]^2-1\implies sec^2(\theta )-1\implies tan^2(\theta )[/tex]

PLEASE HELP. I need this done by the end of today. plpease help im beggin

Answers

Answer:

I only did 1-16 but here:

11. x² + y² = 4

12. (x+3)² + (y-3)² = 1

13. x² + (y-3)² = 16

14. (x-7)² + (y+2)² = 4

15. x² + (y+20)² = 100

16. (x+4)² + (y+6)² = 16

Other Questions
True or false: Mass is a scalar quantity. * (10 Points) 3What increase in temperature will result if 225.0 g of copper absorbs 5000 J ofheat energy? The specific heat of copper is 0.385 J/g CCalculate: Q=m XCXAT(2 points)57.7 C433.125 C274.6 C22.2 C The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 800 hours and a standard deviation of 50 hours. what is the probability that a randomly chosen light bulb will last between 780 hours and 810 hours, to the nearest thousandth? Gabriel is having a group of friends over who love to dance. Which type of music should he play that would MOST likely inspire his friends to dance?A. free jazzB. bluesC. bebopD. swing The tone of "what's that smell" is mostly admiring. serious. critical, lighthearted. type in the correct solutions to match each graph. A tire company wants to determine if tires made with a new type of tread will last longer than tires made with the original type of tread. The company has access to 24 different vehicles. Each vehicle will receive four tires with the new tread and four with the original tread. The position, front or back, will be randomly determined for a pair of each type of tread. For example, a vehicle will have the new type of tread on the front tires and the original tread on the back tires. After six months, the pairs of unused tires will be used with the position switched on the car. The vehicles will be driven for six more months. At the end of one year, the depths of the remaining tread will be measured for each tire and the average differences between the new and original tread types will be determined. The average differences will then be used to determine if the new tread does last longer. Is this a matched pairs design for this experiment? Yes, the company used 24 different vehicles. Yes, both types of tread were randomly assigned to each vehicle. No, the vehicles were not put into groups of two. No, the tires with the different types of tread were not randomly assigned to each vehicle. PLEASE HELP WILL GIVE BRAINLIEST!Evaluate for f(6), show all your work: f(x)=x^2-4 can I have some help? Which type of UV radiation is responsible for immediate tanning?A: UV-AB: UV-OC: UV-GD: UV-D A certain ore contains 9 percent gold. How much ore (in tons) is needed to obtain 126 tons of gold Need help with study guide Why is a predator/prey relationship important quien va a cantar el himno nacional en la pelea del canelo hoy Boyle's LawA container holds 500 mL of CO2 at 20 C and 742 torr. What will be the volume of the CO2 if the pressure is increased to 795 torr?Given:Unknown:Formula:Solution:Final Answer: Which table shows a proportional relationship between x and y?x 1 2 5 7y 5 10 25 35x 1 4 5 10y 15 60 70 120x 3 4.5 8 12y 2 3 4 8x 8 12 14 16y 2 3 4 5 For good mental and physical health, Michael ________ bed earlier What is the fastest way to get rid of a bladder infection?. Read the excerpt from Levitt and Dubners Freakonomics.Driving around the parks that encircle Washington, he solicited customers with a simple pitch: early in the morning, he would deliver some bagels and a cash basket to companys snack room; he would return before lunch to pick up the money and the leftovers. It was an honor-system commerce scheme, and it worked. Within a few years, Feldman was delivering 8,400 bagels a week to 140 companies and earning as much as he had ever made as a research analyst. He had thrown off the shackles of cubicle life and made himself happy.The authors prove Feldmans success by describing . slope for (-7, -4) and (8, 8)