PLEASE HELP EXPRESSIONS!!!! 15 points

Answer:

[tex]\boxed{f(6) = 34}[/tex]

Step-by-step explanation:

Composition of functions occurs when we have two functions normally written similar or exactly like f(x) & g(x) - you can have any coefficients to the (x), but the most commonly seen are f(x) and g(x). They are written as either f(g(x)) or (f o g)(x). Because our composition is written as [tex](f \circ g)(2)[/tex], we are replacing the x values in the g(x) function with 2 and simplifying the expression.

[tex]g(2) = 3(2)[/tex]

[tex]g(2) = 6[/tex]

Now, because we are composing the functions, this value we have solved for now replaces the x-values in the f(x) function. So, f(x) becomes f(6), and we use the same manner as above to simplify.

[tex]f(6) = (6)^2-2[/tex]

[tex]f(6) = 36-2[/tex]

[tex]f(6) = 34[/tex]

Therefore, when we compose the functions, our final answer is [tex]\bold{f(6) = 34}[/tex].

Answer:

[tex]\large\boxed{34}[/tex]

Step-by-step explanation:

[tex]f(x) = x^2 - 2[/tex]

[tex]g(x) = 3x[/tex]

[tex](fog)(2)[/tex]

Find g(2)

[tex]g(x) = g(2)[/tex]

[tex]x=2[/tex]

[tex]3x = 3(2) = 6[/tex]

[tex]g(2) = 6[/tex]

Find f(6)

[tex]f(x) = x^2-2[/tex]

Substitute

[tex]f(6) = x^2 - 2[/tex]

[tex]x^2 - 2 = 6^2 - 2[/tex]

[tex]36 - 2 = 34[/tex]

[tex]\large\boxed{34}[/tex]

Hope this helps :)

Hey there! I'm happy to help!

If you raise a fraction to an exponent, you apply that exponent to the numerator and the denominator. This would give us [tex]\frac{y^4}{x^4}[/tex].

Have a wonderful day! :D

Since the exponent is outside the fraction, you apply the exponent to both the numerator and denominator.

(y/x)^4 = y^4/x^4

Best of Luck!

Answer:

Answer might be -15

Step-by-step explanation:

Because loss means lose so loss of 15 would probably be -15.

Answer:

(2n / n^2 + 7) - 3 i think

Step-by-step explanation:

hope this helped a little bit :))

The mathematical expression will be (2n / n² + 7) - 3.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the quantity three is less than twice this number divided by the quantity 7 more than the square of this number.

The required expression will be written as:-

E=  (2n / n² + 7) - 3.

Therefore, the mathematical expression will be (2n / n² + 7) - 3.

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Answer:

5

Step-by-step explanation:

Answer:

-g(x),g(2x),g(-x)

Step-by-step explanation:

Answer:

The price for footballs is $5.46 and $14.54.

Step-by-step explanation:

Using the information that we have about the soccer ball prices, we can find out their daily profit to see how much the footballs daily profit should be. Plugging in 7.50 into the equation, we get 232.5 as their daily profit. To find what the footballs daily profit should be, we must minus 232.5 from 400. This ends up with 167.5

Now to find the price of the footballs, we must plug 167.5 into the equation and use the quadratic formula to find the prices.

Hope this helps : )

Answer:

At $7.50 per soccer ball, they earn a daily profit of $232.50.

The store needs to earn a daily profit of $400 – $232.50 = $167.50 from footballs.

Solve 167.50 = –4x2 + 80x – 150 to find the price for footballs: x = $5.46 and $14.54.

Answer:-11a) 1024+5120x+11520x²

11b) 1024+10240y+30720y²

12) p=256,q=-256 & n=8

Answer:

4.562 × [tex]10^{2}[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the   10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer

Step-by-step explanation:

M/3-6=-1

The answer is M=15 !!

Answer:

M= 15

Step-by-step explanation:

hope i got it right

Answer:

Step-by-step explanation:

The law of sines is useful. First we need to find the remaining angle.

  A + B + C = 180°

  A = 180° - B - C = 180° -50° -120°

  A = 10°

Now we can find the other two sides.

  a/sin(A) = c/sin(C)

  a = c(sin(A)/sin(C)) = 15(sin(10°)/sin(120°)) ≈ 3.00767 ≈ 3.0

  b/sin(B) = c/sin(C)

  b = c(sin(B)/sin(C)) = 15(sin(50°)/sin(120)) ≈ 13.2683 ≈ 13.3

___

The solution is A = 10°, a = 3.0, b = 13.3.

Answer:

X=-1/2,6

Step-by-step explanation:

Answer:

(2x+1) (x-6)

Step-by-step explanation:

I think this is right

Answer:

First option

Step-by-step explanation:

To make x on its own you have to take away 20 from the left side (that is where x is) and whatever you do to one side, you do to the other

Answer:

2x + 30

Step-by-step explanation: I took the test

2x + 30 is the representation of the perimeter of the sandbox.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

The perimeter of a rectangle is given by

⇒ 2( length + width)

So,

Perimeter = 2(X + 15)

Perimeter = 2x + 30

Hence "2x + 30 is the representation of the perimeter of the sandbox".

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Answer:

x=4 and 3/7, or 31/7. Unless you forgot to put parenthesis in the question.

Step-by-step explanation:

x-3/7=4

x=4+3/7

x=4 and 3/7 or 31/7

If the question was (x-3)/7=4, the answer would then be x=31.

(x-3)/7=4

x-3=4*7

x-3=28

x=31

Answer:

x=31/7

Step-by-step explanation:

x−3/7=4

x=3/7+4

x=3/7+28/7

x=31/7

Answer:

There are 8 snakes.

Step-by-step explanation:

12/4=3

11-3=8

Answer:

2x+7y=17

Step-by-step explanation:

Answer:

-7.25

Step-by-step explanation:

because the dolphin is going down, its negative so you add -4.5+-2.75

Answer:

|200-65h|=4

Step-by-step explanation:

The required equation to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart, where h represents the time in hours is | 200 - 65h |  = 4. Option B is correct.

Given that,
A train is moving at a rate of 65 miles/hour toward a railroad marker located 200 miles away.

Distance is defined as the object traveling at a particular speed in time from one point to another.

Let the time be h and the distance traveled by train in time h is 65h.
Since at time h the distance between the train and rail road maker is 4 miles,
So the expression can be given as train traveled 65h distance to reduce the distance of 200 miles to 4 miles
| 200 - 65h |  = 4

MODULUS is used because distance can never be negative.

Thus, the required equation to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart, where h represents the time in hours is | 200 - 65h |  = 4.

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Answer:

360 ft

Step-by-step explanation:

to find the total distance between the bases, you would multiply 90 by 4!

if it helps, since there are 4 bases, each of them being the same distance apart, they would make a square. each side of the square would be 90 ft. then find the perimeter! 90×4=360!

Answer:

1/5

Step-by-step explanation:

x = # of points scored in the first half of the game

35 - x <---- This expression tells us how many points Leah scored in the second half of the game.

Leah scored 17 points in the second half of the game, let's set our expression equal to 17

35 - x = 17

Subtract 35 from both sides

-x = -18

Divide both sides by -1

x = 18

Leah scored 18 points in the first half of the game.

Answer:

100 miles they willl be the same price

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

You round up to 90........

Answer:

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 76 are: 1, 2, 4, 19, 38, 76

Then the greatest common factor is 1.

Step-by-step explanation:

There are no common factors other than 1

Answer:

the GCF is 1

trust me when i say this

Answer:

60

Step-by-step explanation:

Maths.

5*12=60

6*10=60

20*3=60

Answer:

5*6=30

30*2=60

20*3=60

Least common multiple is 60