If f(x) = x+2 and g(x) = radical x-9, find g(f(x)).

Answer:

where is the graph

Step-by-step explanation:

Answer:

d<4  I might not be right but I think this is correct

Step-by-step explanation:

Simplify both sides of the inequality.

−d+12>8

Subtract 12 from both sides.

−d+12−12>8−12

−d>−4

Divide both sides by -1.

[tex]\frac{-d}{-1}[/tex] >[tex]\frac{-4}{-1}[/tex]

d > 4

Answer:

The expression for the number of miles that Lou drives t hours is t*65

Step-by-step explanation:

Two quantities are directly proportional when, when one of them is multiplied or divided by a number, the other is multiplied or divided respectively by the same number.  That is, the relationship between the magnitudes is direct when one magnitude increases and so does the other (or when one magnitude decreases, so does the other).

The direct rule of three is used when the problem deals with two directly proportional quantities and is used to solve proportionality problems between three known values ​​and one unknown, establishing a proportional relationship between all of them as follows:

a ⇒ b

c ⇒ x

So [tex]x=\frac{c*b}{a}[/tex]

In this case the rule of three can be applied in the following way: if in 1 hour Lou travels 65 miles, in t hours how much distance does he travel?

[tex]distance=\frac{t*65 mi}{1 h}[/tex]

distance=t* 65

The expression for the number of miles that Lou drives t hours is t*65

Answer:

9

Step-by-step explanation:

We see that we have 9 zeros.

We use the base 10 system to help us solve.

When we multiply anything by 10, we simply move the decimal place to the right.

Since we have 9 zeros, we move the decimal place 9 places to the right. Therefore, to get 1,000,000,000, we multiply 1 by 10⁹

Answer:

x=y

Step-by-step explanation:

Collect Like terms from 2x+3y=5y

Like this: 2x=5y-3y (when switching sides, turn positive into negative, negative into positive)

2x=5y-3y

Simplify

2x=2y

Simplify

x=y

The definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction

A ray is part of a line that has one endpoint and extends indefinitely in one direction and has the folowing properties.

So, the definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction.

Learn more about ray here;

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Answer:

A. The bank could sell the car

Step-by-step explanation:

Answer:

A. the bank could sell the car

the reason is when he falls behind on payments the bank will take the car and sell it to get their money back i think

Answer:

x = -7, +3

Step-by-step explanation:

x² - 25 = -4x - 4

Put it all on one side

x² - 25 + 4x + 4 = 0

Put like terms together

x² + 4x - 21 = 0

Factor

(x + 7)(x - 3) = 0

x + 7 = 0 ⇒ x = -7

x - 3 = 0 ⇒ x = +3

x = -7, +3

Answer:

b

Step-by-step explanation:

I = Prt  Solve the equation for r

I  =  Prt   Divide both sides by Pt to get r on one side of the equation by itself

Pt      Pt     Cancel the P and t on right side as P/P and t/t = 1

This leaves:    I = r   or r = I

                       Pt                 Pt

The interest rate formula with other known variables is R=I/PT. Therefore, the correct answer is option B.

The given simple interest formula is I=PRT.

Where, P is the principal, r is the interest rate, and t is time.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

To calculate the interest rate:

By rearranging the formula I=PRT, we get

R=I/PT

Therefore, the correct answer is option B.

To learn more about the simple interest visit:

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Steps to solve:

-6 + 2[6 + 4((-3)^2 - 7)]

~Solve exponent

-6 + 2[6 + 4(9 - 7)]

~Solve whats in parenthesis

-6 + 2[6 + 4(2)]

~Multiply

-6 + 2[6 + 8]

~Add

-6 + 2[14]

~Multiply

-6 + 28

~Add

22

Best of Luck!

Answer:

the time at which P =15 is [tex]{t_o = 0.54161 \ years}[/tex]

the time at which P =20 is [tex]{t_1 = 0.59914 \ years}[/tex]

the doubling time [tex]{t = 0.138629 \ years}[/tex]

Step-by-step explanation:

From the information we are being provided with:

The quantity P i.e [tex]P(t) = e ^{5t}[/tex]

In order to determine the time at which P = 15, we have the following:

[tex]t= t_o[/tex]    when P = 15

∴ [tex]e^{5t_o} = 15[/tex]

[tex]5t_o= In (15)[/tex]

[tex]t_o = \dfrac{1}{5}In 15[/tex]

[tex]t_o = \dfrac{1}{5} \times 2.70805[/tex]

[tex]{t_o = 0.54161 \ years}[/tex]

Hence, the time at which P =15 is [tex]{t_o = 0.54161 \ years}[/tex]

In order to determine the time at which P = 20, we have the following:

[tex]t= t_1[/tex]    when P = 20

∴ [tex]e^{5t_1} = 20[/tex]

[tex]5t_1= In (20)[/tex]

[tex]t_1= \dfrac{1}{5}In (20)[/tex]

[tex]t_1 = \dfrac{1}{5} \times 2.9957[/tex]

[tex]{t_1 = 0.59914 \ years}[/tex]

Hence, the time at which P =20 is [tex]{t_1 = 0.59914 \ years}[/tex]

The doubling time at t = 0, mean P = 2

∴ [tex]e^{5t} = 2[/tex]

[tex]5t= In (2)[/tex]

[tex]t= \dfrac{1}{5}In(2)[/tex]

[tex]t = \dfrac{1}{5} \times0.693147[/tex]

[tex]{t = 0.138629 \ years}[/tex]

Hence, the doubling time [tex]{t = 0.138629 \ years}[/tex]

91 million miles (146 million km)

Answer:

x = 8

Step-by-step explanation:

3+x/8=4

We move all terms to the left:

3+x/8-(4)=0

We add all the numbers together, and all the variables

x/8-1=0

We multiply all the terms by the denominator

 x-1*8=0

We add all the numbers together, and all the variables

x-8=0

We move all terms containing x to the left, all other terms to the right

x=8

Answer:

A=5

b=9

c=32

Step-by-step explanation:

The residual value when x = 3 for a function y = 2.69x - 7.95 is 0.12

An equation is an expression that shows the relationship between two or more number and variables.

Here, we have,

Given the equation:

y = 2.69x - 7.95

When x = 3:

y = 2.69(3) - 7.95 = 0.12

The residual value when x = 3 for a function y = 2.69x - 7.95 is 0.12

Find out more on equation at:

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complete question;

A data set is shown in the table. The line of best fit modeling the data is y = 2.69x – 7.95.

A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 5.1, negative 3.2, 1.0, 2.3, 5.6.

What is the residual value when x = 3?

–0.88

–0.12

0.12

0.88

Part 2:

-4a + 2 + 11a = 5a + 3 + 2a

~Combine like terms

7a + 2 = 7a + 3

~Subtract 2 to both sides

7a = 7a - 1

~Subtract 7a to both sides

0 = 1

Therefore, there are no solutions.

Best of Luck!

Answer:

All together:

D:(-∞,∞)

R:(-∞,2]

Individually:

D: (-∞,-2], (-2,∞)

R: (-∞,-2], y=2

Step-by-step explanation:

So the way I like to think about Domain and Range is that the Domain is the set of real numbers which can be put into a function and the Range is the set of real numbers which you can get out from a function.

Looking at your given function, it looks like the piece-wise parts are f(x)=x and f(x)=2. Neither one of the functions has domain restrictions (you can plug anything into the first and second without getting any mathematical errors [like a 0 in the denominator]). And since the graph shows arrows in each end, indicating infinite continuation of the curve, the Domain is (-∞,∞).

Now for the outputs of each function, we can see that you'll be getting any number out for the f(x)=x portion. But, the f(x)=2 portion will always give you 2 for any input. So the Range is (-∞,2).

Now I'm honestly not too sure what the HW is asking you to do with this info... for the first part, maybe they want the individual domain and range values for each piece of the piece-wise while the second part asks for the overall? You might know what it's asking better then me since it's your class.

I'll include the overall and individual answers above. Comment with any questions.

Answer:

Videos of If F(X)= (3X+X)/(X-3) What is F(A+2)

Step-by-step explanation:

Answer:

A. Given

B.Measure of ABC=90

C.Angle addition Prostulate

D.2 times the measure of angle CBD=90

Step-by-step explanation:

Answer:

d a b c

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

I did the unit test

Answer:

12/5%

Step-by-step explanation:

12/5 %

that's it cuz u can't divide them

Answer:

-3/4

Step-by-step explanation:

Surely it's the same since they're parallel??

Answer:

90%

Step-by-step explanation:

3/30 not working

3/30%=3/30x100

=>10%

% of computers working 100%-10%=90%

4x -2(3x+7)

Use the distributive property:

4x - 6x -14

Combine like terms:

-2x - 14

Answer:

1/2

Step-by-step explanation:

1

3

−

1

2

(1)

2

=

1

3

−

1

2

2

=

1

3

−

1

4

=

1/12

Answer:

The answer is sixty million.

Answer:

15

Step-by-step explanation:

20-5=15

Answer:

1.0 x 10⁵

Step-by-step explanation:

10,000 • 10 = 100,000

= 1.0 x 10⁵

Answer: