Given f(x) = x + 9 and g(x) = x2 find (gºf)(x).

Answers

Answer 1

Answer:

g(f(x)) = (x + 9)^2 or x^2 + 18x + 81

Step-by-step explanation:

(gºf)(x) is the "c .... " of two functions f(x) and g(x):  f(x) is the input to g(x).

We start with g(x):  g(x) = x^2.  We replace the first x with f(x) and the second x with x + 9:

g(f(x)) = (x + 9)^2 or x^2 + 18x + 81


Related Questions

How do you explain this? Help please!​

Answers

Answer:

B because angle 3 and 6 are vertical angles, so both angles are the same degree.

what kind of number is divisible by7 ​

Answers

Answer:

28, 42, 56, 63, and 98 can be divided by 7

Answer:

A number is divisible by 7 if it has a remainder of zero when divided by 7

Step-by-step explanation:

Examples:

28, 42, 56, 63, and 98

Please help asap!!!!

Answers

Answer:

x = 9

Step-by-step explanation:

23x + 24*8 + 25*1 + 26*6 = 580

23x + 192 + 25 + 156 = 580

23x + 373 = 580

23x = 580 - 373

23x = 207

x = 207/23

x = 9

Raleigh went to gaming arcade for his birthday. His parents gave him $55 to spend. He purchased $14.25 in food and drinks, and put the rest of the money on a gaming card to spend at the arcade. Each game in the arcade cost $1.25

Answers

Answer: he will be able to play 32.6 games at the arcade

Step-by-step explanation:

Answer:

32 games

Step-by-step explanation:

1) 55-14.25=40.75

2) 40.75/1.25

3) 32.6

4) The least Raleigh would be able to pay for is 32 games.

7x + 15 - 4x = 7x - 18 + 6

Answers

Answer:

x = 6.75

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtract.

First, combine like terms. Like terms by definition is terms that have the same amount of like variables.

7x -4x + 15 = 7x - 18 + 6

(7x - 4x) + 15 = 7x + (-18 + 6)

3x + 15 = 7x + (-12)

3x + 15 = 7x - 12

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 7x and 15 from both sides:

3x (-7x) + 15 (-15) = 7x (-7x) - 12 (-15)

3x - 7x = -12 - 15

-4x = -27

Then, isolate the variable x. Divide - 4 from both sides:

(-4x)/-4 = (-27)/-4

x = -27/-4 = 27/4 = 6.75

x = 6.75 is your answer.

~

Someone do this for me

Answers

I believe it’s the last answer choice
i would say the third one

What is 0.0000049 in scientific notation form

Answers

Answer:

4.9 * 10^-6

Step-by-step explanation:

The number being multipled by 10 to the power of whatever is between 1 and 10, so in this case 4.9. Think of it as dividing by 10 a certain amount of times, which in this case it 6. So, it is 4.9*10^-6.

Can someone help me with this?
Also please provide an explanation and I might mark you as the brainliest!

Which scenario is represented by the equation below?

A. Robert purchased a 36-inch piece of wood for a project. What is x, the number of feet of wood Robert purchased?

B. Tonya bought 12 pieces of gum for $0.36 each. What is x, the total cost of the gum?

C. Fiona is 12 years old. Her father is 36 years old. What is x, the difference between Fiona's age and her father's age?

D. Clay purchased 12 quarts of apple cider. He poured an equal amount of cider into 36 containers. How many ounces, x, of apple cider were in each container?

Answers

A. Robert purchased a 36-inch piece of wood

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.

4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
How can her partial solution be interpreted?

The equation has one solution: x = 0.
The equation has one solution: x = 8.
The equation has no solution.
The equation has infinite solutions. help on a timer

Answers

Answer:

The equation have no solution.

3x - 4 = 3x + 4

-4 = 4

The statement is false

Answer:

Has no solution

Step-by-step explanation:

Vladimir says that the equation of the line that passes through points (negative 5, negative 3) and (10, 9) is y = four-fifths x + 1. Robyn says that the line passes through the points (negative 10, negative 7) and (negative 15, negative 11). Who is correct?
only Vladimir
only Robyn
both Vladimir and Robyn
neither Vladimir nor Robyn

Answers

Answer:

C. both Vladimir and Robyn

Step-by-step explanation:

Just took the test. Hope this helps

Both Vladimir and Robyn are correct. Then the correct option is C.

What is the equation of a line passing through two points?

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]

Vladimir says that the equation of the line that passes through points (-5, -3) and (10, 9) is y = (4/5) x + 1.

Robyn says that the line passes through the points (-10, -7) and (-15, -11).

Then the equation of the line will be

y + 7 = [(-11 + 7) / (-15 + 10)] (x + 10)

y + 7 = (4/5)x + 8

     y = (4/5)x + 1

Both Vladimir and Robyn are correct.

Then the correct option is C.

Learn more about straight-line equations here:

https://brainly.com/question/380976

#SPJ2

The Booster Club has a goal of raising at least $600. The Club has already raised $50. The Booster Club is sponsoring a pancake breakfast and charging $4.00 per ticket. Write an inequality to model. (Use t as your variable.) Simplify the inequality to identify the number of tickets the Booster Club must sell to meet its goal.

Answers

Answer:add it up

Step-by-step explanation:then divide them all

Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces.

Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces?

(–3, –18)
(–0.5, –3)
(0, 0)
(0.5, 3)

Answers

Answer:

(0.5, 3)

Step-by-step explanation:

(x, y), so x=0.5books

and y= 0.5books * 6ounces per book = 3 ounces

so x= 0.5 and

y= 3

the correct ordered pair is (0.5, 3)

Answer:

0,0

Step-by-step explanation:

Help plzzzz I have to hand this in NOWW

Answers

Answer:

Step-by-step explanation:

1) 11 is an odd number and prime number

2) option 3

45 = 1, 3, 5 , 15 , 9 , 45

45 = 1 * 45  

45 = 3 *15

45 = 9 * 5

3) option 2

90 = 2 * 3 * 3 * 5

What is the range of the function on the graphe
3
all the real numbers
all the real numbers greater than or equal to
all the real numbers greater than or equal to 2
all the real numbers greater than or email to -3
24
54 -3 -2 -11
1 2 3/4 52
-2
-2

Answers

Answer:

hopefully helps

Step-by-step explanation:

you have to subtract the little number from the big number

At Baldwin Hills Market strawberries are $3.99 for 3 lb. What is the unit rate (price per pound)? Please write your answer in the following format: $9.99 That's not the correct; it's just example of how to write your answer properly. Please don't write anything besides the dollar sign, numbers, and a decimal.

Answers

Answer:

I believe its $1.33

Step-by-step explanation:

$3.99 divided by 3 is $1.33

I think it 1:33 I hope it’s correct

is 30 square root , irrational or rational​

Answers

It is rational I have seen this multiple times

Help me please make u a brainliest


The head of a foreign language department investigated relative popularity of different language courses among students. He found that the relationship between the numbers of students interested in taking Chinese (C) and German (G) could be represented by the equation below. What does the number 200 in the equation indicate?


C = 200 – 6G


A)Six years ago about 200 students were interested in taking Chinese.

B)Six years ago about 200 students were interested in taking German.

C) If there is no interest in taking German, about 200 students are expected to be interested in taking Chinese.

D) If there is no interest in taking Chinese, about 200 students are expected to be interested in taking German

Answers

I would say D. Should be it

i need this answered pls ASAP

Answers

Answer:

Your answer should be 8

Step-by-step explanation:

because 2^3 is also 2x2x2 and that equals 8

Write the equations of the following lines.
b
The line is perpendicular to the graph of y=x+1 and passes through the point (1,1).

Answers

Answer:

The equation of the line is;

y = -x + 2

Step-by-step explanation:

Here, we want to find the equation of a line which is perpendicular to the given line and passes through the given point.

Mathematically;

If two lines are perpendicular, then , the slope of the two lines when multiplied by each other equals -1

The given line is;

y = x + 1

let’s compare this with the standard form which is y = mx + c

In the standard form, the coefficient of x is the slope. In this case, the coefficient of x is 1 and thus this is our slope

So the slope of the second line will be;

since m1 * m2 = -1

and m1 = 1

m2 = -1/1 = -1

The slope of the second line is -1

Now to get the equation of the second line; we use the point slope form

That would be;

y-y1 = m(x-x1)

The point (x1,y1) = (1, 1) and m = -1

Thus;

y-1 = -1(x -1)

y-1 = -x + 1

y = -x + 1 + 1

y = -x + 2 or simply y = 2-x

If UV = 5x, VW = 2x, and UW = 7, what is UV?

Answers

Answer:

Do you have a pic of the problem?

Step-by-step explanation:

Only then, can i really edit this and provide an acurate answer...

pls & thx.

can someone plz help me with this equation this is hard

Answers

Answer:

5x - 4 = 11

Step-by-step explanation:

4 less than 5 times a number equals 11

5 times a number minus 4 equals 11

(5*x) - 4 = 11

I hope this helps!!!

Answer:

second option

Step-by-step explanation:

five times a number: 5n (five times 2 = 5*2 = 10 like that)

four less than five times a number: 5n - 4

its like saying 7 less than 14. You take 7 away from 14 (14-7), not 7-14.

The whole thing equals to 11

Hence: 5n - 4 = 11 and n would equal 3

What is the value of the expression below when y = 7?
2y^2 + 9y + 2

Answers

Answer:

163

Step-by-step explanation:

[tex]2*(7^{2}) +9(7)+2[/tex]

[tex]2*(49)+9(7)+2[/tex]

[tex]98+63+2[/tex]

[tex]=163[/tex]

Help please, this is times

Answers

Answer:

2

Step-by-step explanation:

24/12= 2

Find the inverse f-1(x) for the given function f(x)=2x-5

Answers

Answer:

Find the inverse f-1(x) for the given function f(x)=2x-5

Step-by-step explanation:

To find the inverse, interchange the variables and solve for  y

 f ^− 1 ( x ) = x /2 + 5/2

I have no idea how to do this. can someone please explain?​

Answers

Answer:

no solution

Step-by-step explanation:

sqrt(3x+1) +7 = 5

Subtract 7 from each side

sqrt(3x+1) +7 -7= 5-7

sqrt(3x+1)  = -2

The sqrt cannot be negative so there is no solution

A small juice company spends $1190 per day on business
expenses plus $ 1.10 per bottle of juice they make. They charge
$3.50 for each bottle of juice they sell. How many bottles of
juice must they sell in one day in order to equal their daily
costs?

Answers

Answer:

They have to sell 496 bottles of juice to equal their daily costs.

Step-by-step explanation:

they have to sell 496 bottles of juice.

25% as a fraction in its lowest term​

Answers

Answer:

1/4

Step-by-step explanation:

Hopefully this helps you :)

pls mark brainlest ;)

Is 12.06060606 a rational number?

Answers

12.06060606 IS  a rational number .

(Numbers which have no end are irrational. they have infinite number of digits.)

a convex octagon inscribed in a circle has four consecutive sides of length 3 and 4 consecutive sides of length 2. find the area of the octagon if if you solve this question I will mark you as brainliest answer​

Answers

Answer:

13 + 12√2

Step-by-step explanation:

Not sure if there's an easier way, but here's my method:

Draw the radius lines from the center of the circle to each vertex of the octagon.  This will divide the octagon into 8 isosceles triangles, 4 big and 4 small.

Draw the height of one of the big triangles.  Define the angle between the height and the radius as A.  Similarly, draw the height of one of the small triangles.  Define the angle between the height and the radius as B.

Using trig, we can say:

sin A = 1.5 / r

sin B = 1 / r

The vertex angle of the large isosceles triangle is 2A, and the vertex angle of the small isosceles triangle is 2B.  Therefore:

4(2A) + 4(2B) = 360

A + B = 45

If we substitute into the first trig equation:

sin(45 − B) = 1.5 / r

sin 45 cos B − cos 45 sin B = 1.5 / r

1/√2 cos B − 1/√2 (1/r) = 1.5 / r

cos B − 1/r = 1.5√2 / r

cos B = (1 + 1.5√2) / r

If we substitute into the second trig equation:

sin(45 − A) = 1 / r

sin 45 cos A − cos 45 sin A = 1 / r

1/√2 cos A − 1/√2 (1.5/r) = 1 / r

cos A − 1.5/r = √2 / r

cos A = (1.5 + √2) / r

Using SAS area of a triangle, the area of the large triangle is:

Area = ½ r² sin(2A)

Area = ½ r² (2 sin A cos A)

Area = r² sin A cos A

Area = (r sin A) (r cos A)

Area = (1.5) (1.5 + √2)

Area = 2.25 + 1.5√2

Similarly, the area of a small triangle is:

Area = ½ r² sin(2B)

Area = ½ r² (2 sin B cos B)

Area = r² sin B cos B

Area = (r sin B) (r cos B)

Area = (1) (1 + 1.5√2)

Area = 1 + 1.5√2

So the total area is:

Area = 4(2.25 + 1.5√2) + 4(1 + 1.5√2)

Area = 9 + 6√2 + 4 + 6√2

Area = 13 + 12√2

35 X 6.7
What is this answer

Answers

Answer:

234.5

Step-by-step explanation:

Answer:

234.5

Step-by-step explanation:

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