Given f(x)= 2^x and g(x)=x^2 answer the questions that follow
a. Your friend claims the graph of f(x)=2x increases at a faster rate than the graph of g(x)=x2 when x ≥ 0. Is your friend correct? Explain your reasoning.
b. How are the 2 functions different?

PLEASE HELP

Answers

Answer 1

Answer:

a. Yes it's correct, reasons;

I) let x=1, f(1)=2^1=2, g(x)=1^2=1 this proves that when a higher number is used the value of f(x) will be higher than g(x).

ii) As x approaches zero f(x) approaches 1, but g(x) approaches 0. Which will make the rate at which the graph of f(x) increase be faster than g(x)

b. f(x) has an infinite degree but g(x) has a finite degree of 2.


Related Questions

(Answer with steps please)

Skateboarders use half pipes for doing tricks A half-pipe is similar to a half cylinder which is not enclosed on the ends.

a. Explain how you could manipulate the surface area formula for a cylinder to calculate the curved surface area of the half pipe.

b. To the nearest square metre, calculate the curved surface area of the half pipe if it is 9 m long?

Answers

Answer:

Step-by-step explanation:

a). Total surface area of cylinder is defined by sum of curved surface area and surface area of the top and bottom.

Total surface area = 2πrh + 2πr²

Skateboarders use a half pipe structure which are not closed at the ends.

Therefore, curved surface of the half pipe = [tex]\frac{2\pi rh}{2}[/tex]

                                                                      = πrh

b). If r = 2.5 m and h = 9 m,

Curved surface area of the half pipe = π(2.5)(9)

                                                             = 70.69 m²

                                                              ≈ 71 m²

10-
10
A. Exponential growth
B. Linear increasing
C. Exponential decay
D. Linear decreasing

Answers

it’s c i know bc i had the question

How do I simplify rational expressions

Answers

Answer:

a rational expression is an expression that has a RATIO in it

look at the word "RATIO"nal

a ratio is just a fraction...

so your question is "how to simplify fractions"

lots of approaches, this is one of them...

PRIME FACTOR the numerator and denominator

[tex]\frac{90}{135}[/tex]

90 = 2 * 3 * 3 * 5

135 = 3 * 3 * 3 * 5

= 2/3 (the two 3's cancel and the 5's cancel)

Step-by-step explanation:

The Rivera family bought a new tent for camping. The front of the old tent is a triangle with equal sides of 3.2 m and a floor width of 4.8 m. If the new tent is similar in shape to the old tent and has equal sides of 4 m, how wide is the floor of the new tent?

Answers

Step-by-step explanation:

Select the complete subject of the sentence below. Brandon planned to win the race. Brandon planned Brandon planned to win Brandon planned to win the race Brandon

Answers

Answer:

i cant even process this.

Step-by-step explanation:

You are a salaried employee paid semi-monthly. If you make 548,750 annually, what is
your estimated take home per pay?

Answers

If semi-monthly means every half a month, then my take home pay is 22864.58333

Answer:

548750/12

approximately 45729

A loan of 28,000 is made at 4% interest, compounded annually. After how many years will the amount due reach 48000 or more?

Answers

Answer:

The time is 13.7 years.

Step-by-step explanation:

principal, P = 28000

Rate of interest , R = 4 % annually

Amount, A = 48000

Let the time is t.

Use the formula of the compound interest.

[tex]A = P\times \left ( 1+\frac{r}{100} \right )^t\\\\48000 = 28000\times \left ( 1+\frac{4}{100} \right )^t\\\\1.71 = 1.04^t\\\\log 1.71 = t log 1.04\\\\t =\frac{0.233}{0.017}\\\\t = 13.7 years[/tex]

Solving Linear Systems by Elimination Solve each of the following linear systems by elimination, and check the solution a) 0.1a -0.4b = 1.9

0.4a +0.5b = -0.8

Answers

Answer:

a = 3     b = -4

Step-by-step explanation:

 4  (0.1a -0.4b) = (1.9)      0.4a - 1.6b = 7.6

     0.4a - 1.6b = 7.6

-     0.4a +0.5b = -0.8

-2.1b = 8.4

b = -4

0.4a + 0.5(-4) = -0.8

0.4a - 2 = -0.8

0.4a = 1.2

a = 3

pls help i need this answer

Answers

Decimal form 0.0625
Fraction form 1/16

I think,sorry if it’s wrong
In fraction form it’s 1/16

Managers of a movie theater company want to learn more about what types of premium services their customers who participate in the theater's loyalty program most desire and would be willing to pay a premium price for. The managers use a computer program that selects customers in a lottery style from the company's database to receive an online survey and loyalty points for completing the survey about premium services. What kind of sampling technique do the movie theater managers use

Answers

Answer: Simple random sampling

Step-by-step explanation:

Simple random sampling is a sampling method where every member of the population of interest has an equal chance of being picked. It is the simplest sampling method as there are no parameters for picking members.

In using the entire company database and simply selecting members using a lottery style, - which is a random style - the managers of this movie theatre were using a simple random sampling method.

Write L if it is Likely to happen and Write U if it is unlikely to happen. Topic is probability
1. 2:3 __

2. 4:15 __

3. 3/10__

4. 13/21__

5. 6/16 __

6. 8:11 __

7. 9:20__

8. 11:25__

9. 5/16__

10. 7/12 __

11. 6:13__

12. 4:9__

13. 2:5 __

14. 19/45 __

15. 12/25__

Please make it quick

Answers

Answer:

1h b+h boi gate

Step-by-step explanation:

AE = x=4.875, and EC = 13-4.875 = 8.125.
If I place point E at a distance of 4.875 units from A on AC-that is, E15.875, 1)-then the ratio of the segments into which e divides AC is equal to
the ratio of AD to DB.
Question 3
Place point that you found in Question 2 on AC. Draw a line passing through D and E, and measure and record the slopes of DE and BC.

Answers

Answer:

This is the answer for both Edmentum and Plato!

Step-by-step explanation:

Hope it helped

what most likely caused the man in the caravan to come to the farmhouse where elisa lived? a.he had lost his dog in the vast,open areas b.he needed to purchase supplies c.the country roads confused him d. he was looking for an adventure

Answers

Answer: A. He had lost his dog in the vast, open areas.

Step-by-step explanation:

The Chrysanthemums" is a story about a woman whose name was Elisa Allen. She was frustrated about her present condition as she didn't have a child and her husband didn't find her romantically pleasing.

In the book, the reason why the man in the caravan came to the farmhouse where Elisa stayed was because he had lost his dog in the vast, open areas.

Maths assignment
y^2-36

Answers

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  

a ^2 − b ^2 = ( a + b ) ( a − b )

where  

a = y

and  

b = 6  

( y + 6 ) ( y − 6 )

If P=36 inches, find x and find the area

Answers

Answer:

x=4    Area = 56

Step-by-step explanation:

find x :

36 = 2 (3x + 2 + x)   (simplify)

36 = 2 (4x+2)           (divide both sides by 2)

18 = 4x + 2               (solve)

16 = 4x

4 = x

Find Area Substitute value of x

A= l × w

A = (3x + 2) × (x)

A = (3 × 4 + 2) × (4)

A = (12 + 2) × 4

A = 14 × 4  

A= 56

hope this helps :)

Instructions. Find the Area Of the square




Wrong answer Report

Right answer Heart​

Answers

Question:

Find the Area Of the square.

Answer:

19.ans> Given,

Side = 9 m

To,find: Area

We,know that,area of the square is = (side)²

We,know that,area of the square is = (side)² = 9×9

We,know that,area of the square is = (side)² = 9×9 = 81 m

20.ans> Given,

Side= 7 cm

We,know that,area of the square is = (side)²

We,know that,area of the square is = (side)² = 7 × 7

= 49 cm

Hope it helps you

Bye

Please help!!
y= 1/2 x + 2
One equation in a system of two linear equations is
shown above. If the system has one solution (x, y),
where x = 2, which of the following could be the
other equation in the system?
A) y = -2x + 4
B) y = -x+ 5
C) y = 2x
D) y = 2x + 1

Answers

Answer:  B) y = -x+ 5

Step-by-step explanation:

If the x-value in the solution (x, y) is 2, then the y-value is:

[tex]y=\frac{1}{2} (2)+2 = \frac{2}{2} +2=1+2=3[/tex]

So the solution coordinate is (2, 3).

Test each of the answer choices to see if whether the y-value is 3 when the x-value is 2. If it's true, then it could be the other equation in the system.

A) y = -2x + 4

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

B) y = -x+ 5

[tex]y = -x+ 5\\y = -(2) + 5 = 5 - 2 =3[/tex]

C) y = 2x

[tex]y=2x\\y=2(2)=4[/tex]

D) y = 2x + 1

[tex]y = 2x + 1\\y=2(2)+1=4+1=5[/tex]

Someone help me please if you don’t mind

Answers

Answer:

x(3x^ x - 2 x - 1)

Step-by-step explanation:

the answer is

x(3x^2 - 2x - 1)

Find each measure

Please help me

Answers

Answer:

see explanation

Step-by-step explanation:

∠ YXW = ∠ ZXV ( vertically opposite angles ) , so

4a + 15 = 2a + 65 ( subtract 2a from both sides )

2a + 15 = 65 ( subtract 15 from both sides )

2a = 50 ( divide both sides by 2 )

a = 25

Then

(7)

∠ ZXV = 2a + 65 = 2(25) + 65 = 50 + 65 = 115°

(8)

∠ YXW = ∠ ZXV = 115°

∠ ZXY and ∠ ZXV are adjacent angles and sum to 180° , that is

(9)

∠ ZXY = 180° - 115° = 65°

(10)

∠ VXW = ∠ ZXY = 65° ( vertically opposite angles

Marlena is one-sixth the age of her mom. If Marlena is 5 years old, how old is her mom?

Answers

Answer:

30 years old

Step-by-step explanation:

If marina is one sixth of her mom age, and she is five years old. The multiply five times size to get her moms full age.

Answer:

30 years

Step-by-step explanation:

Let,

Age of her mom be = x

Age of Marlena

[tex] = \frac{1}{6} x[/tex]

We know that,

Age of Marlena is 5 years

Therefore,

By the problem,

[tex] = > \frac{1}{6} x = 5[/tex]

=> x = 5 × 6

=> x = 30

Hence,

Age of her mother is 30 years (Ans)

need help please! asap

Answers

don't cheat its bad that u are asking answers for your test

2/3 Marks
67 / 138 Marks
If a = -3, find the value of
a) 2a
b) a ^2
c) 3a^2

Answers

Answer:

- 6, 9 and 27

Step-by-step explanation:

Substitute a = - 3 into the expressions and evaluate

(a)

2a = 2(- 3) = - 6

(b)

a² = (- 3)² = 9

(c)

3a² = 3(- 3)² = 3(9) = 27

exterior angle equation is 3p-15 interior angles are p and p+15

Answers

9514 1404 393

Answer:

  p = 30

  angles 30°, 45°; exterior: 75°

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angle:

  3p -15 = p + (p +15)

  p = 30 . . . . . . . . . . . . . add 15-2p

The interior angles are 30°, 45°; the exterior angle is 75°.

i need help because summer school is bad

Answers

Answer:

B or the second one

Step-by-step explanation:

There are the same numbers just positive and negative.

Hope it helps c:

Can someone help me with this math homework please!

Answers

Therefore, f(c) = 3c+5

OPTION B is the correct answer

Answer:

(B) f(c) = 3c + 5

Step-by-step explanation:

Since variable "c" is the independent variable, that means in terms of y = mx + b, c would be the variable "x".

So that means to rewrite 6c = 2p - 10, you would solve for p, because p would equal y in the formula.

Use basic algebra to solve for p:

6c = 2p - 10

6c + 10 = 2p

3c + 5 = p

p = 3c + 5 or f(c) = 3c + 5

Hope it helps (●'◡'●)

Rachel earned $54.79 last week. Morgan earned $50.23. About how much more did Rachel earn?

rounding and estimating

Answers

Answer:

Answer:$4.56

Step-by-step explanation:

Take $54.79 and subtract it by $50.23, to see the difference in how much more money Rachel earned.

54.79-50.23

$4.56

Hope this helps

thank you have a good day !!

the cost of a popular toy is $19.99 , Due to a limited supply , the store manager marks the price of the toy up by 15%. what is the new price ? HURRY PLEASE .

Answers

$22.99

Step-by-step explanation:

19.99 increased by 15% ≈ 22.99

Absolute change (actual difference):

22.99 - 19.99 ≈ 3

The difference is $3

If x < 0 and y < 0, what guadrant is the point (x, y) located

Answers

Answer: Third quadrant

This can be written as Q3 or QIII

This quadrant is in the southwest.

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

Explanation:

There are 4 quadrants on the xy plane. They are separated by the x and y axis. Think of it like 4 separate rooms.

The first quadrant Q1 is located in the northeast where x > 0 and y > 0. Both x and y are positive together. An example point from this region would be something like (5,2)The second quadrant, Q2 or QII, is in the northwest. An example point from here is (-5,2). We can see that x < 0 and y > 0.The third quadrant (Q3) is where both x and y are negative. So x < 0 and y < 0. An example point would be (-5,-2). This quadrant is in the southwest.Finally, if x > 0 and y < 0, then we're in the southeast quadrant Q4. An example point is (5,-2)

As you can see, the quadrants move in a counterclockwise fashion when going from Q1 to Q2 to Q3 to Q4.

Quadrants 1 and 4 have x,y that are the same sign together. Either they're both positive together, or they're both negative together. Quadrants 2 and 3 have x,y as opposite signs (one is positive and the other is negative).

please help me on this asap

Answers

Im pretty sure its B.


Find the sum of integers -72, 237, 84, 72, -184, -37

Answers

Answer:

100

Step-by-step explanation:

add positive numbers. then subtract the negative numbers.

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