Look at this graph :
Is this relation a function?

F ( x + 5 )= x ^2 + 12 x + 29

The composition (gof)(x) of the given functions is (g°f)(x) = x² + 12 x + 29

Function is a type of relation, or rule, that maps one input to specific single output.

For two given functions f(x) and g(x), the composite function

(g ° f)(x) is g(f(x))

we know that:

g(x) = x+5

f(x) = x² + 2x - 6

Then:

(g°f)(x) = g(f(x))

So, we just need to evaluate g(x) in f(x):

g(f(x)) = f(x) + 5 = (x² + 2x - 6) + 5

(g°f)(x) = x² + 12 x + 29

Then the correct answer is (g°f)(x) = x² + 12 x + 29

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Answer:7.3333333333

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Just had the question

Answer:

d) -1

hope it help

its the second option because it is clearly shown and described on the screen

The true statement about the end behavior of f(x) is (b)

The equation of the function is given as;

f(x) = -4x^6 +6x^2-52

The leading coefficient of the above function is

Leading coefficient = -4

-4 is less than 0 i.e. negative

This means that options (a) and (c) are false

Also;

The ends of even functions face the same direction, and not opposite directions.

Hence, the true statement about the end behavior of f(x) is (b)

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Answer:

Nina will be 18 years old when she is half as old as her mother.

Step-by-step explanation:

With the information provided, you can write an equation that indicates that Mrs. Matthews current age plus x which would be the number of years until Nina will be half as old as her mother would be equal to two times nina's age plus x, as you would have to multiply Nina's age at that time for 2 to be equal to her mother's age. The equation would be:

24+x=2(6+x)

Now, you can solve for x:

24+x=12+2x

24-12=2x-x

12=x

Finally, you  have to add the value of x plus Nina's current age to determine her age when she is half as old as her mother:

12+6=18

Acording to this, the answer is that Nina will be 18 years old when she is half as old as her mother.

Answer:

The answer is "smaller bag ".

Step-by-step explanation:

Please find the complete question in the attached file.

There are more trail mixes in the smaller pack.

It's because in the smaller bag (6.8 ounces) the trail mix is more than in the bigger bag (6.18 ounces).

It was reasonable because the capacity of the bag is not stated, and both bags will contain far more than 6,8 ounces.

Answer:

the answer is $17.98

Step-by-step explanation:

....

Answer:

shape 1- 89.4 inches

shape 2- 29cm

Step-by-step explanation:

the perimeter is the sum of all numbers around the rim of the shape.

Answer:

3

Step-by-step explanation:

3 +6=9

Answer:

Step-by-step explanation:

0,6

Answer:

the answer would be 0,6 because the the slope passing across bothe sides of the graph

Answer:      x=-5

Step-by-step explanation:

Distribute

6(x+3)-1(x+4)=-11

6x+ 18-1(x+4)=-11

6x +18-x-4=-11

Subtract the numbers

6x +18-x-4=-11

6x +14-x=-11

Combine like terms

6x +14-x=-11

5x +14=-11

subtract 14 from both sides of the equation

5x +14=-11

5x +=14-14 = -11 -14

simplify

5x=-25

divide both sides

x=-5

Answer:

Commission earned= $43.95

Step-by-step explanation:

Giving the following information:

Commission rate= 15% = 0.15

Sales= $293

To calculate the commission earned by selling the laptop, we need to use the following formula:

Commission earned= commission rate*sales

Commission earned= 0.15*293

Commission earned= $43.95

Answer:

A 2.2

Step-by-step explanation:

So the perimeter is 10.5 and one side is 1.7 and the others are the same.

The Equation for the perimeter of a pentagon is P = side + side + side + side + side.

Fill it out for the sides.

10.5 = 1.7 + 4h

8.8 = 4h

h = 2.2

Answer:

40 in²

Step-by-step explanation:

There are four triangles for each side of the pyramid, and the height is three inches. The area of a triangle is base times height divided by 2, so each triangle is 6 in².

4(base) x 3(height) ÷ 2 = 6

Multiply 6 by 4 because there are four triangles, which is 24.

Once you have that, the only surface left is the bottom of the pyramid. You can find this by multiplying 4 by 4, since it's a square.

4 x 4 = 16

If you add 16 and 24 together, that's your answer.

Answer:

40

(its right i did this)

Answer:

F. 130

hope this helped :)

Answer:

F. 130

Step-by-step explanation:

Since you have a 180-degree angle, you can subtract it by 50. replace <2 by x

so, 50 + x = 180

180 - 50 = 130

The answer is 130 degree angle.

hope this helps and is right :)

Answer:

y=5-2x

Step-by-step explanation:

we know that

when you want to figure out a tip, you take your total bill and multiply it by the percentage you would like to tip them

so

15%=15/100------> 0.15

$63*0.15=$9.45

the answer is

$9.45

Answer:

$17

Step-by-step explanation:

If n is the number of bowls, then replace n with 3

5(3) + 2 = x

15 + 2 = x

x = 17

Answer:

29: 7

Step-by-step explanation:

[tex] \frac{8}{3x - y} = \frac{5}{x + 3y} [/tex]

Cross multiply:

[tex]8(x + 3y) = 5(3x - y)[/tex]

Expand bracket:

[tex]8x + 24y = 15x - 5y[/tex]

Bring x terms to 1 side, y terms to the other:

[tex]15x - 8x = 24y + 5y[/tex]

Simplify:

[tex]7x = 29y[/tex]

Divide by 7 on both sides:

[tex]x = \frac{29}{7} y[/tex]

Divide both sides by y:

[tex] \frac{x}{y} = \frac{29}{7} [/tex]

∴ The ratio of x to y is 29:7.

Answer: It is complicated. I think you can graph it. The internet said that is was undoable.

Step-by-step explanation:

Answer:

If these are the only two options, the most profitable is the first option (6% and 10 years).

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,000

Number of periods (n)= 10 years or 5 years

Interest rate (i)= 6% or 10%

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1 + i)^n

6% interest rate:

FV= 3,000*(1.06^10)

FV= $5,372.54

10% interest rate:

FV= 3,000*(1.1^5)

FV= $4,831.53

If these are the only two options, the most profitable is the first option (6% and 10 years).

Answer:

Rational numbers are the numbers which are integers and fractions

Irrational numbers are the numbers whose expression as a fraction is not possible.  

Step-by-step explanation:

Answer:

Rational is with fractions

Irrational is with expressions

Step-by-step explanation:

Answer:

1 bowl = 1/3 cups

6 bowls = (1/3) * 6

             = 2 cups

So, the container hold 2 cups of sugar

Step-by-step explanation:

Answer:

Step-by-step explanation:

ax+b = 0    

Answer:

Step-by-step explanation:

B looks good

Answer:

2469/2000

Step-by-step explanation:

Answer:

Yes.  2469/2000

Step-by-step explanation: