About how many ants would it take to wrap around the earth

Answer:

B

Step-by-step explanation:

got it right on edge

The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)

An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function which gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.

Given:

f(x) = x² – 2x

We can find the inverse function by solving for y:

x = f(y)

x = y² -2y

x +1 = y² -2y +1

x +1 = (y -1)²

√(x +1) = y -1

1 +√(x +1) = y

So, the inverse function is

[tex]f^{-1}[/tex](x) =   1 +√(x +1)

Thus, the minimum value of x for which the original function has this as an inverse is 1.

So, The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)

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Answer:

f(4) = -10

x = 0

Step-by-step explanation:

From the graph attached,

For x = 4,

Value of the function will be,

f(4) = y value at x = 4

f(4) = -10

Similarly, for y = g(x) = 2,

x value of the function will be,

x = 0

For which g(0) = 2

Therefore, for x = 0 value of the function will be 2.

g(0) = 2

Answer:

f(4) = -10

Step-by-step explanation:

Answer:

6x+15

Step-by-step explanation:

(3) (2x+5)

(3) (2x) + (3) (5)

Answer:

14 and 21 is the answer

Step-by-step explanation:

Hope it is helpful for you

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Answer:

[tex] \boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}[/tex]

Step-by-step explanation:

Let the numbers be 2x and 3x

Let's create an equation

[tex] \sf{2x + 3x = 35}[/tex]

Solve for x.

Collect like terms

[tex] \dashrightarrow{ \sf{5x = 35}}[/tex]

Divide both side by 5

[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 7}}[/tex]

The value of x is 7.

Now, replacing the value of x in order to find the two numbers :

[tex] \dashrightarrow{ \sf{2x = 2 \times 7 = 14}}[/tex]

[tex] \dashrightarrow{ \sf{3x = 3 \times 7 = 21}}[/tex]

The numbers are : 14 and 21

Hope I helped!

Best regards! :D

Answer:

B. 8 times the difference of a number z and 6

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Translate (z - 6)

z = a number z

- = difference

6 = six

(z - 6) = The difference between a number z and 6

Step 2: Translate 8(z - 6)

(z - 6) = The difference between a number z and 6

Since we are distributing the 8, we are multiplying.

8 times the difference of a number z and 6

Answer:

[tex]m = (5n/4) -7[/tex]

Step-by-step explanation:

[tex]n = 4/5(m + 7);m\\(5)n = 4(m + 7)\\5n/4 = m + 7\\m = (5n/4)/7[/tex]

Answer:

x+1 , x<-1

x²-bx-4  , -1≤x≤4

1/2 x +a

substitute x=-1 , continuous everywhere

x+1=x²-bx-4 when x=-1

-1+1=-1²-b-4

then for :

x²-bx-4=1/2 x +a for x=4

4²-4b-4=1/2x+a

16-4(3)-4=4/2+a

16-12-4-2=a

the equations will be :

x+1

x²-3x-4

1/2x-2

I hope this help

Remove the parentheses, Move the terms, Calculate, Divide both sides, write in parametric form.

Answer should be r = 3/5p + 9, pER

Answer:

a circle is the locus of all points equidistant from a central point

Answer:

If the recipe calls for 5/8 cup of butter, the ratio would be 3:5 (blueberries to butter), if the recipe was enlarged you can use the same method and find out the new ratio

Answer:

-4k-2

Step-by-step explanation:

Answer:

see explanation for number line\ $29$

Step-by-step explanation:

this is the answer guys.

Answer:

let the number of children and adult be 7x and 4x

as per question

7x=63

x=63/7=9

no. of adult= 4x= 4*9=36

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

first do -22-2= -24

then do 1/8 of -24= -3

Answer:

[tex]x=\sqrt[3]{2}+4[/tex]

Step-by-step explanation:

To "undo" this equation, we need to solve for x.

We begin with the equation

[tex]2=(x-4)^3[/tex]

To remove the cube, we need to take the cubic root of both sides

[tex]\sqrt[3]{2} =\sqrt[3]{(x-4)^3} \\\\\sqrt[3]{2} =x-4[/tex]

And the last step to solve for x will be to add 4 to each side

[tex]\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x[/tex]

And there is our value for x

Answer:

16. DF = - 1-(-4) = 3

17. DE = -1/1/3 -(-4)

= - 5/3 + 12/3

= 7 / 3

18. FG = 2-(-1) = 3

19. FH = 3.5 - (-1) = 4.5

20. GH = 3.5 - 2 = 1.5

21. EH = 3.5 -(-1.5) = 5

22. AC = 16

3x + 7 = 16

x = 3

23. AB = x +7

= 10

24. BD = 2x + 3x - 1

=5(3) - 1

=14

25. CE = 3x - 1 + 2x + 3

=5x +2

=17

Answer:

5: x=27 (Positive)

8: x=9 (9 positive not negative)

11: x=24 (Positive not negative)

Step-by-step explanation:

5: 9*3=27 so 27/9

8: 38+7=45 45/5=9 so x=9

11: 15-7=8 8*3=24, 24/3-15=-7 so x=24

Answer:

2y-18

Step-by-step explanation:

(y-9)2 -----Distributive property

2*y=2y

2*9=18

=2*y-2*9

=2y-18

Hope this helps ;) ❤❤❤

Answer:

yes

Step-by-step explanation:

Answer & Step-by-step explanation:

This is what is called an arithmetic sequence. An arithmetic sequence adds the same number every time. If we take and subtract the 3rd term from the 4th term, we get 21. However, when we subtract 17 from 26 or 26 from 44, we get 9 and 18 respectively, which is not in keeping with the sequence.

Answer:

It's Rational.

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer: [tex]x=9[/tex]

Add 15 to both sides

[tex]x-15+15=-6+15\\x=9[/tex]

Steps to solve:

x - 15 = -6

~Add 15 to both sides

x = 9

Best of Luck!

Answer:

B

Step-by-step explanation:

Option b is our correct answer.

2, 6 , 10b, and -8a.

Given,

2 + 6 + 10b - 8a

We need to find the terms in the expression.

Every expression is made of terms.

Example:

ax² + bx + c + d

ax², bx, c and d are the four terms that make the expression.

Example:

ax² - bx - c - d

ax², - bx, - c  and - d are the terms in the expression.

Remember to take the sign along with the terms.

Find the terms in the expression.

We have,

2 + 6 + 10b - 8a

2  - one expression

6 - one expression

10b - one expression

-8a - one expression

Thus,

Option b is our correct answer.

2, 6 , 10b, and -8a.

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Answer:

13

Step-by-step explanation:

5 (2x - 8) = 90

5 × 2x - 8 = 90

2x - 8 = 90 ÷ 5

2x - 8 = 18

2x = 18 + 8

2x = 26

2x/2 = 26/2

x = 13

13 is the answer to the question.

Answer:

900

Step-by-step explanation:

Answer:

2 1/2 minutes

Step-by-step explanation:

5/8 + 5/8 + 5/8 + 5/8

20/8

2 and 4/8 minutes

Answer:

Step-by-step explanation:

(5)(1/5)=1

Answer: inverse property of multiplication

Step-by-step explanation:

You need to know about the idea of reciprocal numbers. Reciprocal numbers are numbers that multiplied together to get 1 which is also called inverse. This means one number will be itself, and it's reciprocal will be the denominator of a fraction that has 1 as the numerator

Since 1/5 is the reciprocal of 5, and they are multiplied together to get 1. This will be the inverse property of multiplication.

Answer:

D is correct

Step-by-step explanation:

A is incorrect because the lesser than is .001 higher

B is wrong since is .18 higher

C is wrong because its not equalone is .9 higher

Answer:

D

Step-by-step explanation:

6365.1<6365.999

Answer:

Three times the sum of x and seven plus ten

Step-by-step explanation:

Three times= 3(times)

the sum of x and seven= x+7

plus 10= +10