Find the inverse of each function.
y=log₂4 x

For the functions g (x) = 5 x - 2 and h (x) = x² + 1, the value of the composite function g o h (a) will be 5 a² + 3.

We are given the functions:

g (x) = 5 x - 2

h (x) = x² + 1

We first need to find the composite function g o h (x).

So, we get that:

g o h (x) = g ( h (x) )

g o h (x) = 5 ( x² + 1 ) - 2

g o h (x) = 5 x ² + 5 - 2

g o h (x) = 5 x² + 3

Now, we need to find the value of the composite function for x = a. So, we get that:

g o h (x = a) = 5 (a)² + 3

g o h (a) = 5 a² + 3

Therefore, for the functions g (x) = 5 x - 2 and h (x) = x² + 1, the value of the composite function g o h (a) will be 5 a² + 3.

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Step-by-step explanation:

Just do it and it will pay off

The jogging speed of the jogger is 6 miles/hour.

Given that:-

Distance from home to park = 12 miles

Distance from park tp home from a different route = 18 miles

It is also given that the time taken to reach home from park is 1 hour longer than the number of hours taken to reach park from home.

We have to find the speed of the jogger.

Let the time taken by jogger to reach park from home be t hours.

Hence, according to the data given in the question,

Time taken by jogger to reach home from park is (t+2) hours.

We know that,

Speed = distance/time

We know that the speed of jogger in each route is same.

Hence, we can write,

12/t = 18/(t+1)

2/t = 3/(t+1)

2(t+1) = 3t

2t+2 = 3t

t = 2 hours.

Hence, speed of the jogger = 12/2 = 6 = 18/(2+1) = 18/3.

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Answer:

Step-by-step explanation:

Your trip started near mile marker 42 on I-10 in El Paso. Now you're at mile marker 837 near Winnie. How many miles have you traveled?

The rational function with the given characteristics is [tex]f(x) = \frac{3x + 1}{x - 4} [/tex].

Any function that can be expressed mathematically as a rational fraction—an algebraic fraction in which both the numerator and the denominator are polynomials—is referred to as a rational function. The polynomials' coefficients don't have to be rational numbers,they can be found in any field K.

given that a vertical asymptote at x=-4.

A horizontal asymptote at y=3.

The denominator of the function cancels for this value and the numerator does not cancel at this value if the rational function has a vertical asymptote at x=4.

[tex]f(x) = \frac{p(x)}{(x - 4)} [/tex]

The degree of the numbered variable is equal to the degree of the denominator if the rational function has a horizontal asymptote at y=3, and the coefficient of the higher degree variable is three times larger.

Hence,

[tex]f(x) = \frac{3x + 1}{x - 4} [/tex]

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Step-by-step explanation:

I hope you wrote the equation correctly.

there could be parts missing. and exponents be wrong.

I am concerned, because the missing parts are not just numbers. they are full terms in the variable p.

so, well, the right side is

p³ - 2p + 3p = p³ + p

on the left side we have

a(p² -2) - p(2p³ - b)

ap² - 2a - 2p⁴ - pb

so, the first thing we see : we need to eliminate the p⁴ terms, because there are none on the right side.

so,

a = 2p²

that gives us

2p⁴ - 4p² - 2p⁴ - pb = -4p² - pb

let's see, if we can create the missing items just by "b" (and we have to get rid of -4p²) when we bring left and right sides together again :

-4p² - pb = p³ + p

p³ + p + 4p² = -pb

b = (p³ + p + 4p²)/-p = -p² - 1 - 4p

so,

the equation would look like

2p²(p² - 2) - p(2p³ - (-p² - 1 - 4p)) = p(p² - 2) + 3p

which could be also written as

2p²(p² - 2) - p(2p³ + p² + 1 + 4p) = p(p² - 2) + 3p

Answer:

y = 3 and x = 4

Step-by-step explanation:

Let's solve your system by substitution.

6x+5y=39;3x+5y=27

Step: Solve6x+5y=39for x:

6x+5y=39

6x+5y+−5y=39+−5y(Add -5y to both sides)

6x=−5y+39

6x/6=−5y+39/6

(Divide both sides by 6)

x=−5/6y+13/2

Step: Substitute −5/6y+13/2 for x in 3x+5y=27:

3x+5y=27

3(−5/6y+13/2)+5y=27

5/2y+39/2=27(Simplify both sides of the equation)

5/2y+39/2+−39/2=27+−39/2

(Add (-39)/2 to both sides)

5/2y=15/2

5/2y/5/2=15/2/5/2

(Divide both sides by 5/2)

y=3

Step: Substitute 3 for y in x=−5/6y+13/2:

x=−5/6y+13/2

x=−5/6(3)+13/2

x=4(Simplify both sides of the equation)

Answer:

Step-by-step explanation:

$1.20 dollars

Answer:4.5 hours, 4 hours and 30 minutes, 4 and a half hours

Step-by-step explanation: you are averaging, so you add all of the numbers together and divide that by the number of numbers.

3+6=9, 9 divided by 2=4.5

Answer:

2hours

Step-by-step explanation:

let windows = x

Mrs. Saunders can clean one-third of the windows in an hour = x/3

daughter can clean one-sixth of the windows in an hour = x/6

so,

x/3+x/6 = 1

thus, x = 2

mother and daughter together can clean the windows in 2 hours

Answer:

You can't. You must be a trusted helper.

Answer:

just message them by messaging them

The perimeter of the rectangle in it simplest form is 8x - 10.

The perimeter of a rectangle can be found as follows:

perimeter of a rectangle = 2(l + w)

where

Therefore,

length = 3x - 7

width = x + 2

perimeter of a rectangle = 2(3x - 7 + x + 2)

perimeter of a rectangle = 2(3x + x - 7 + 2)

perimeter of a rectangle = 2(4x - 5)

perimeter of a rectangle = 8x - 10

Therefore, the perimeter of the rectangle in it simplest form is 8x - 10.

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Answer:

(4, 2 )

Step-by-step explanation:

y = x - 2 → (1)

y = - 0.5x + 4 → (2)

substitute y = x - 2 into (2)

x - 2 = - 0.5x + 4 ( add 0.5x to both sides )

1.5x - 2 = 4 ( add 2 to both sides )

1.5x = 6 ( divide both sides by 1.5 )

x = 4

substitute x = 4 into (1)

y = 4 - 2 = 2

solution is (4, 2 )

The expressions represents “the difference between a number and eleven” is (n - 11) while, for the second case, the one statement which does not represent the same concept, among the four options provided is "a number minus five".

As per question statement, we are provided with two separate questions, first one requiring us to determine the expressions represents “the difference between a number and eleven”, while the second one requiring us to determine the one statement which does not represent the same concept, among the four options provided.

Considering the first case, the statement “the difference between a number and eleven”, considering the number to be "n" can be mathematically expressed as [tex](n - 11)\\[/tex]. Hence, the correct answer is [tex](n - 11)\\\\[/tex].

Coming to the second case, considering the number to be "n",

Option (A) is "a number minus five" which when mathematically stated becomes [tex](n-5)[/tex]

Option (B) is "five more than a number" which when mathematically stated becomes [tex](n+5)[/tex]

Option (C) is "the sum of a number and five" which when mathematically stated becomes [tex](n+5)[/tex]

And, option (D) is "a number increased by five" which when mathematically stated becomes [tex](n+5)[/tex].

That is, Option (B), (C) and (D) all belong to the same concept. Hence, the one statement which does not represent the same concept, among the four options provided is "a number minus five".

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Answer:

Point G

Step-by-step explanation:

It is point G because since you mirrored it and flipped it, you need to flip figure one and if you move it to where figure two is, in the same place, the new point R is where point G is, so G corresponds to R

Answer: Z-score

Step-by-step explanation:

Answer:

line

Step-by-step explanation:

Answer:

Hyperbole

Hope this helps :)

Step-by-step explanation:

This is because she is exaggerating, and hyperoble is when someone exaggerates. She will not really die if she didn't get a job.

Answer:

8?

Step-by-step explanation:

Answer:

g = -8

Step-by-step explanation:

g-16

------ = -8

2

g = -8

One strategy to eliminate a variable is by multiplying the first equation by 5 and the second equation by 2 and then adding the resulting equations or by multiplying the first equation by 3 and the second equation by 7 and then adding the resulting equations

From the question, we are to determine the strategies that would eliminate a variable in the given system of equations

The given system of equations is

-7x + 2y = 5

3x - 5y = -5

We can eliminate the variable y multiplying the first equation by 5 and the second equation by 2

That is,

5 × [-7x + 2y = 5

2 × [3x - 5y = -5

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

-35x + 10y = 25

6x - 10y = -10

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

-29x = 15

Also,

We can eliminate the variable x by multiplying the first equation by 3 and the second equation by 7

That is,

3 × [-7x + 2y = 5

7 × [3x - 5y = -5

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

-21x + 6y = 15

21x - 35y = -35

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

-29y = -20

Hence, one strategy is by multiplying the first equation by 5 and the second equation by 2 and then simplify by adding

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After direct variation y = 2 when x = -3.

So,

The initial statement is y = kx

Then to find y when x = -3.

When x = -3:

Therefore, y = 2 when x = -3.

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California   has the greatest area of each state.

What does a math area mean?

So, we know that

         Montana  =    5 * 9 =  45 grids

California  = 15 + 16 + 14 + 6 = 51 grids

                          45 < 51

California   has the greatest area .

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Answer:

7x-12

Step-by-step explanation:

Answer:The answer is 7x-12

Step-by-step explanation:You would do 6x+x which would equal 7x then you would do -6-6 which would equal -12.So the answer would be 7x-12.

She needs to locate the squares of the integers between 7.1 and 7.2 in order to estimate √51.

Finding an integer's square root is the inverse of squaring an integer. A number's square value is obtained by multiplying it by itself, whereas the square root of a number can be discovered by looking for a number that, when squared, produces the original value. It follows that a× a = b if "a" is the square root of "b." Every number has two square roots, one of a positive value and one of a negative value because the square of any number is always a positive number.

In the question given to us,

look at the table, we know

(7.1)² = 50.41 and (7.2)² = 51.84

So, (7.1) < √51 < 7.2 { estimate }

They should therefore determine the squares of the numbers between 7.1 and 7.2.

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The complete question is :

Meredith is trying to estimate √51 She uses this table of values:

What should she do next to find √51 to the nearest hundredth?

A. She should find the average of 7. 1 and 7. 2.

B. She should find the squares of numbers between 7. 2 and 7. 3.

C. She should find the squares of numbers between 7. 1 and 7. 2.

D. She should estimate that √51 is 7. 20.

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Plug in x and y values into the equation

Multiply

Add

Two expressions with equal sign is called as Equation. The rating of a brand that costs $3.00 per bag is 7.

Two expressions with equal sign is called as Equation.

A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.

The general form of a simple linear regression equation is:

y=a+bx

Here,

y = dependent variable

x = independent variable

a = intercept

b = slope

The output of the least squares regression analysis for predicting rating from price is provided.

So, the dependent variable is the ratings and the independent variable is the price.

The regression equation for predicting rating from price is:

y=0.39+2.52x

Predict the rating of a brand that costs $3.00 per bag as follows:

y=0.39+(2.52*$3.00)

=0.39+7.56

=7.17

=7 approximately.

Thus, the rating of a brand that costs $3.00 per bag is 7.

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Answer:

1+4=5 23×21=44 44-3=41

Step-by-step explanation:

ANSWER= LOL

Answer:

5

Step-by-step explanation:

5b+3.79

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n is nax^n−1 .

5b^1-1

Subtract 1 from 1.

5b^0

For any term t except 0, t^0 = 1

5×1

For any term t, t×1=t and 1t=t.

5

The slope of the line that passes through (-4, 2) and (-5, 0), in simplest form is calculated as: 2.

The slope of a line (m) = change in y/change in x = y2 - y1/x2 - x1 or rise/run of the line.

Given the following points on the line:

(-4, 2) = (x1, y1)

(-5, 0) = (x2, y2)

Substitute the values into m = y2 - y1/x2 - x1:

Slope (m) of the line = (0 - 2) / (-5 - (-4))

Slope (m) of the line = (-2) / (-5 + 4)

Slope (m) of the line = -2/-1

Slope (m) of the line = 2

Thus, the slope of the line that passes through (-4, 2) and (-5, 0), in simplest form is calculated as: 2.

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