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Answer:

A. g(x) = (¼x)²

Step-by-step explanation:

___________

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=12x f ( x ) = 1 2 x .

Replace f(x)f(x) with yy.

y=12xy=12x

Interchange the variables.

x=12yx=12y

Solve for yy.

Rewrite the equation as 12y=x12y=x.

12y=x12y=x

Multiply both sides of the equation by 22.

2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x

Simplify 2⋅12⋅y2⋅12⋅y.

Cancel the common factor of 22.

Cancel the common factor.

2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x

Rewrite the expression.

1⋅y=2⋅x1⋅y=2⋅x

Multiply yy by 11.

y=2⋅xy=2⋅x

Solve for yy and replace with f−1(x)f-1(x).

Replace the yy with f−1(x)f-1(x) to show the final answer.

f−1(x)=2xf-1(x)=2x

Set up the composite result function.

g(f(x))

Answer:

x ≈ 12.96

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 11² = 17²

x² + 121 = 289 ( subtract 121 from both sides )

x² = 168 ( take the square root of both sides )

x = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )

Answer:

12 m

Step-by-step explanation:

Given the expression : 8m + 4m

The numbers 8m and 4m are bound by the addition operator.

When using the addition operator, the Coefficient are are the values added for like terms.

Since both values given can be like terms based on 'm', the Coefficient of m in each vlaue is added ;

Hence, we have ;

8m + 4m = 12m

Answer:

Sergio's statement is false

Step-by-step explanation:

Cost of one pound of plum = 1.60

Total quantity of plum bought = 1

Weight of each plum = 1/4 pound

If he buys plum of $ 3.80 at the rate of $1.60 per pound, he purchases 2.375 pounds of plum

Weight of one plum = 1/4 pound, thus total number of plum purchased = 9.5

Since 0.5 pound of plum means half plum which is not possible to buy

Hence Sergio's statement is false

Answer:

1/3

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Experimental probability is based on the result of an experiment that has been carried out multiples times

probability of landing on the orange section = proportion of the orange section / total proportions of all the colours

= 1/3

Answer:

the mean is 9.

Step-by-step explanation:

7

Answer:

- 6x - 18 + 2y

Step-by-step explanation:

- 3x + 6 - 3x - 24 + 2y

- 6x + 6 - 24 + 2y

- 6x - 18 + 2y

Answer:

-6x -18 + 2y

Step-by-step explanation:

1. Collect like terms:

-3x + -3x = -6x

-24 + 6 = -18

2. Rewrite expression:

-6x -18 +2y

Hope this helps, good luck! :D

Answer:

The number itself is 508.231

Step-by-step explanation:

Any multiplying each of the numbers, we will have the specific places

Hundreds

5 * 100 = 500

Tenths

0 * 10 = 0

ones

8 * 1 = 8

Tenths = 2 * 1/10 = 2/10 = 1/5 = 0.2

Hundredths = 3/100 = 0.03

Thousandths = 1/1000 = 0.001

So we simply sum all these to get the number itself as follows

500 + 8 + 0.2 + 0.03 + 0.001 = 508.231

Answer:

x = 1/2

Step-by-step explanation:

y = 7x+5

y = 9x+4

7x+5 = 9x+4

1=2x

x = 1/2 = 0.5

Answer:

1. [tex]x = - \frac{5}{7} [/tex]

2. [tex] x = - \frac{4}{9} [/tex]

Step-by-step explanation:

[tex]y = 7x + 5 \\ 0 = 7x + 5 \\ - 7x = 5[/tex]

[tex]\boxed{Answer:{\boxed{\green{x = - \frac{5}{7}}}}} [/tex]

[tex]y = 9x + 4 \\ 0 = 9 x + 4 \\ - 9x = 4[/tex]

[tex] \boxed{Answer:{\boxed{\green{x = - \frac{4}{9} }}}}[/tex]

The answer is D.

the blue parabola is 1 y value up from red. So you have a +1. It is 4 values to the right of red, but when x is in the format of (x + a) ^2, then the sign of operation is opposite of the action in graph. So positive means subtracting and negative means adding. So you put in x - 4

Answer:

[tex]\text{C. }1.3[/tex]

Step-by-step explanation:

The area of a rectangle with width [tex]w[/tex] and length [tex]l[/tex] is given by [tex]A=lw[/tex].

What we're given:

Substituting given values, we get:

[tex]1.04=0.8w,\\w=\frac{1.04}{0.8}=\boxed{\text{C. }1.3}[/tex]

Answer:

(9, 13, 22)

Step-by-step explanation:

We can use the triangle inequality theorem to help us solve this problem. We know that the two shortest sides of a traingle added up (their sum) needs to always be greater than the longest side of the triangle. Taking that information, we can figure out that 9+13=22. 22=22, not 22>22. This means that is the right answer, hopefully that helps!

Answer: The pattern uses the rule "Add 15", adding 15 per term. Making the next term, 60.

Answer:

56 ÷ 0.7 is 80

0.7 ÷ 56 is 0.0125

Answer:

3/28

Step-by-step explanation:

1/7 times 6/8

Answer:

Y = -1x - 1

Step-by-step explanation:

I used desmos graphing calculator and tried until I got a line that worked.  It passes through (2, -3) and has a slope of -1

Hope this helped :)

Answer:

Step-by-step explanation:

sin A = [tex]\frac{opposite side}{Hypotenuse}[/tex]

Sin 29 = [tex]\frac{y}{500}[/tex]

0.4848 * 500 = y

y = 242.4 ft

Answer:

Y=242.4

Step-by-step explanation:

due to the association property the angle at the bottom left is 29 degrees

since sine property is oposite over hypothesis we get

sine(29)=y/500

500sin(29)=y

Y=242.4

Answer:

96 cu.ft must be the answer to the question..

Answer:

I think 96 cu.ft is the answer

Answer:

below

Step-by-step explanation:

the solution is

$2,400 * 43,560

=$104,544,000

Answer:

all i know is that the answer is

above 2,400

Step-by-step explanation:

Answer:

[tex]4x\left(x^2-3x+1\right)[/tex]

[tex]Distribute\:parentheses[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]Simplify[/tex]

Answer:

Its C

Step-by-step explanation: