Compare the two functions in the table. Will the value of function y = 2x eventually exceed the value of function y = x10?

Answers

Answer 1

First we rewrite the functions:
y = 2x
y = x ^ 10
We note that the second function always has values of y greater than the first function. However, there is a value of x for which the first function is greater.
For x = 1 we have:
y = 2 (1) = 2
y = (1) ^ 10 = 1
We note that:
2> 1
Answer:
Yes, the value of function y = 2x eventually exceed the value of function y = x ^ 10.

Answer 2

Answer:

Yes

Step-by-step explanation:

Allow me to revise your question for a better understanding

y = 2x

y = [tex]x^{10}[/tex]

Any exponential function with a base bigger than 0 smaller than 1 will eventually be exceeded by any polynomial function. Let me give one example for this situation.

Let x = [tex]\frac{1}{2}[/tex], we have:

y = 2x = 2*[tex]\frac{1}{2}[/tex] = 1y = [tex]x^{10}[/tex] = [tex]\frac{1}{2} ^{10} = \frac{1}{1024}[/tex]

Obviously, y = [tex]x^{10}[/tex] <y = 2x

Hope it will find you well.

Related Questions

Michael bought a $25.00 gift for a friend. After he bought the gift, Michael had $176.89. Write and solve an equation to calculate how much money Michael had before he bought the gift.

Answers

76.89 + 25.00 =x x= 201.89

Michael had 201.89 before he bought the gift.

What is the equation ?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given

Michael bought a $25.00 gift for a friend

Michael have $176.89 after buying the gift .

Therefore, we can write the equation as,

Money with Michael before buying gift card = Money with Michael before after gift card

Money with Michael before buying gift card = 25 + $176.89

Money with Michael before buying gift card = $201.89

Therefore, Michael had $201.89 before he bought the gift.

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Find the ordered triple (x,y,z) that satisfies the following system:
x-2y&=0
y-2z&=0
x+z&=5.

Answers

First we correctly rewrite the system of equations:
x-2y = 0
y-2z = 0
x + z = 5
Solving the system of equations by any method we obtain the following results:
x = 4
y = 2
z = 1
Therefore we have that the ordered triple (x, y, z) is:
(x, y, z) = (4, 2, 1)
Answer:
the ordered triple (x, y, z) that satisfies the system is:
(x, y, z) = (4, 2, 1)

The original is rice of a computer was reduced by $ 250. The new discounted price is $1499

If p= the computers original price in dollars, which mathematical sentence expresses the information above?
A. P-250<1499
B.250-p<1499
C.250-p=1499
D.p-250=1499

Answers

The answer is D

Because if the discount is $250 and P is the original price, if you subtract the discount from the original price then you get the discounted price

I hope that made sense lol

Answer:

Step-by-step explanation:

D, because he first reduces the price by 250 yuan from the original price, so it is P-250, and then obtains a new discounted price, which indicates that the answer is P-250=1499

What is the area of this figure? Select from the drop-down menu to correctly complete the statement. The area of the figure is cm². A square with sides measuring 6 cm. A trapezoid attached to the side of the square has a top length of 7 cm, a long leg side of 10 cm, and the bottom length, when combined with the length of the square, measures out at 21 cm.

Answers

To answer this question, you should draw it out- see the attached picture for the example. All the side lengths are labeled. You can then use the area of a trapezoid formula to find the total area.

A=1/2 (b1 + b2)h

You can see the substitution for each value in the work shown in the picture.

Answer: 102

A=1/2 (b1 + b2)h

Solve for x.

−1/4x+5=3/4

Enter your answer in the box.

Answers

the answer for this one is x=17

Answer:

Step-by-step explanation:

this is correct

The east room of the White House is 79 feet long by 36 feet wide what is the area and what is the perimeter of the east room

Answers

Hey there!

In area, you multiply the length times the width.

Length = 79 ft.
Width = 36 ft.

79 x 36 = 2,844
The area of the shape is 2,844.

To find perimeter, you add up all the sides. The way you were describing the shape, it sounds like a rectangle so. . .

79 + 79 = 158
36 + 36 = 72
158 + 72 = 230
The perimeter of the room is 230 feet.

Hope this helps you.
Have a great day!

Based on the dimensions of the White House east room, the perimeter must be 230 feet and the area is 2,844 feet.

The measurements of the east room give the impression that this is a rectangular shaped room.

The area of a rectangle is:

= Length x Width

= 79 x 36

= 2,844 feet²

The perimeter is:

= (2 x length) + (2 x Width)

= (2 x 79) + (2 x 36)

= 230 feet

In conclusion, the perimeter of the east room is 230 feet and its area is 2,844 feet².

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24 squared + 10 squared = x squared

Answers

Six hundred Seventy-Six

A circle has a diameter of 20 inches. Find the exact area and find the approximate area using π 3.14

Answers

The exact area is [tex]10^2\cdot \pi=100 \pi[/tex], using the approximation this is 314

Express this equation in logarithmic form.

23 = 8

Answers

The exponential equation [tex]2^3 = 8[/tex] is equivalent to the log form equation [tex]\log_2(8) = 3[/tex]

The base of the log is the same as the base of the exponent. The 8 inside the log argument is the right hand side of the original equation. The goal with logs is to isolate the exponent, so that's why 3 is on its own side

Your friend finds 192 divided by 6 by writing (6 x 30) + (6 x 2). She says the answer is 12. Is your friend correct? EXPLAIN!

Answers

Final answer:

No, your friend is not correct. The answer to 192 divided by 6 is 32, not 12.

Explanation:

No, your friend is not correct. When dividing 192 by 6, we need to find how many times 6 can go into 192. One way to do this is by subtracting multiples of 6 from 192 until we reach 0. This method is called long division. Let's work through it step by step:

Write 192, the dividend, inside the division symbol.Write 6, the divisor, outside the division symbol.Divide 6 into the first digit of 192, which is 1. The answer is 0, as 6 cannot go into 1.Bring down the next digit, which is 9.Divide 6 into 19, which gives us 3. Write the 3 above the line, in the quotient, as our first digit.Multiply 6 by 3, which gives us 18. Subtract 18 from 19, which leaves us with 1.Bring down the next digit, which is 2.Divide 6 into 12, which gives us 2. Write the 2 above the line, in the quotient, as our next digit.Multiply 6 by 2, which gives us 12. Subtract 12 from 12, which leaves us with 0.

So the answer to 192 divided by 6 is 32. Your friend's method of using (6 x 30) + (6 x 2) is incorrect because it does not result in the correct quotient.

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at the park, 4/7 of the children are boys. if there are 8 boys at the park, how many are girls?

Answers

There are 4/7 boys, so there are 3/7 girls.

Let the total number of children be x.

4/7x = 8
1/7x = 8 ÷ 4
1/7x = 2
3/7x = 2 x 3
3/7x = 6

There are 6 girls.

6 because 4/7 boys means a ratio of 4:3, so twice 4 to make 8 means twice 3 to make 6.

What is the area of the shape shown?

Answers

22x9 = 198

15x12 = 180

198+180 = 378

378 cm squared. If you split it into two shapes, the top rectangle's (9 x 10) area is 90 cm and the bottom rectangle's (24 x 12) is 288 cm. 288 plus 90 gets you to 378 cm squared.

What is the area of the frame in square units around the picture?

Answers

12 x 6s = 72s

8 x 4s = 32s

72s - 32s = 40s

The area of the frame is 40s units^2

I hope this helps!

Alvin’s age is two times Elgas age. The sum of their ages is 18. What is Elgas age?

Answers

Hey there! :D

18=2x+x

x= Elga's age.

18=3x

Divide both sides by 3.

x=6

Elga is 6 years old.

I hope this helps!
~kaikers

18 times 18 eaqwalswhat bro that your awnser hope i help

Heather has $500 in her savings account. She withdraws $20 per week for gas. Write an equation Heather can use to see how many weeks it will take her to have a balance of $220.

Answers

[tex]500 - 20x = 220[/tex]

What is 3.4 mph (miles per hour) converted to feet per seconds?

Answers

I think the answer is 4.987 feet per second.

Select the equation that has c = 56.08 as a solution. A c × 12 = 672.96 B 2c = 112.14 C c + 97 = 154.08 D 49 + c = 105.80

Answers

The correct answer is A: c x 12=672.96

help with this one plzzz?

Answers

(8x+4)+(18-8x)=8x+4+18-8x=0+22=22
the choice is D

PLEASE HELP ME! On a coordinate grid, the distance between point F and point G is 13 units. Point F is located at (-1, 3). Point G is located at (x, -9). Which value could be the value of x?

A 4

B 8

C 11

D 24

Answers

cant you just graph it

Last week 1200 burgers were served at the Burger Barn.

a. This week 1176 burgers were served. What is the percent of change?

b. Use the percent of change from part (a) to predict the number of burgers served next week. Round to the nearest whole number, if necessary.

Answers

a)
[tex]1200 - 1176 = 24[/tex]
24 is the amount of reduction
[tex] \frac{x}{100} = \frac{24}{1200} \\ x = \frac{24\times 100}{1200} = \frac{2400}{1200} = 2[/tex]
so the reduction percentage is 2%

Final answer:

The percent of change between the number of burgers served at the Burger Barn last week versus this week shows a 2% decrease. Using this information, the projected number of burgers to be served next week is approximately 1152.

Explanation:

To calculate the percent of change, we subtract the final number (in this case, the number of burgers served this week) from the initial number (the number of burgers served last week), divide the result by the initial number, and then multiply by 100 to convert to percent.

Percent of Change = ((Initial number - Final number) / Initial number) * 100

So in this case, the percent of change = ((1200 - 1176) / 1200) * 100 = 2% decrease.

To predict the number of burgers served next week, we can assume the same percent of change. If there's a 2% decrease expected, then we subtract 2% of this week's total burgers from this week's total burgers.

Projected number of burgers served next week = This week's total - (2% of This week's total) = 1176 - (2/100 * 1176) = 1152.32 → If we round to the nearest whole number, we get 1152.

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jorge has a recipe that calls for 2 1/3 cups of flour he plans to make 1 1/2 times the recipe will the amount of flour jorge needs be equal to greater than or less than the amount of flour his recipe calls for

Answers

The correct answer is Greater than

Find the length of BC.

Answers

Im pretty sure its 5

Hopes this helps, and plz mark Brainliest if correct!!

you have to do a square plus b square equal c square ... which would be 16+36=c square ... I think the answer is 7.2

The relation {(-1, 4), (2, 7), (3, 7)} is a function. True False

Answers

Tryour answear is true

Answer:

True

Step-by-step explanation:

I did the quiz and got 100%

A pool pump fills 1/6 of the pool in 1/3 hour. How much of the pool is filled in one hour

Answers

1/2 way because to get to a full hour with 1/3 you have to multiply by three so you multiply 1/6 by 3 and get 3/6 which is simplified to 1/2. Hope I helped!

For this, we can just multiply 1/6 by 3 since you have to multiply 1/3 by 3 to get to one hour ( basically just adding 1/6 every 1/3 of an hour until the full hour).
1/6•3=3/6=1/2
So, half of the pool will be filled in one hour.

Bailey’s Cakes and Pastries baked a three-tiered cake for a wedding. The bottom tier is a rectangular prism that is 18 centimeters long, 12 centimeters wide, and 8 centimeters tall. The middle tier is a rectangular prism that is 12 centimeters long, 8 centimeters wide, and 6 centimeters tall. The top tier is a cube with edges of 4 centimeters each. What is the volume of each tier and of the entire cake?

Answers

the bottom tier is 18+12+8 = 38
the middle tier is 12+8+6 = 26
the top tier is 4x3 = 12
the total is 76

The formula for doing this is Length plus Width plus Height.

Answer:

the top tier is 64 cubic centimeters

the middle tier is 576 cubic centimeters

the bottom tier is 1728 cubic centimeters

the entire cake is 2368 cubic centimeters

Step-by-step explanation:

can their be smaller integer than 0.5

Answers

Yes, but only if the integer is negative because all integers are whole numbers.

If x = 12 cm, y = 8 cm, z = 10 cm, and w = 3 cm, what is the surface area of the geometric shape formed by this net?
A. 288 cm2
B. 144 cm2
C. 192 cm2
D. 160 cm2

Here's the shape: https://media.studyisland.com/pics/127804pic7.png

Answers

Solve for the area of the figures.
3 rectangles and 2 triangles (or 4 right triangles).

View attachment

btw I think you gave the wrong measurements probs cuz it doesn't come up with any of the options for the answer but I know it is 186 cm^2 for sure...

Can i get some help please.
Which expressions are equivalent to( 5^3 x 5^2 )^4

A:25^20
B:(25^5)^4
C: none of the above

Thanks!!

Answers

(5^3×5^2)^4 = 5^((3+2)*4) = 5^20

Selection A is appropriate.

Write two equivalent fractions for 2/5 and 1/3 and 3/4

Answers

2/5: 10/25, 4/10

1/3: 3/9, 6/18

3/4: 75/100, 9/12

These are a few. Hope this helps!

4/10, 6/15, 8/20, 10/25 = 2/5
2/6, 3/9, 4/12, 5/15 = 1/3
6/8, 9/12, 12/16, 15/20 = 3/4

express 68 as a product of prime numbers by completing the factor tree

Answers

68 = 2*34

34 = 2*17

68 = 2*2*17

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