All categories

3 years ago

F(x) = x(x - 1) g(x) = 3x find (f*g)(6)

Mathematics

2 answers:

Radda [10]3 years ago

6 0

Step-by-step explanation:

$\sf{ \longmapsto(6(6-1))×3(6)}$

$\sf \longmapsto{ = 30 \times 18}$

$\sf \longmapsto \boxed{ = \red{5} \blue4 \pink0}$

svetlana [45]3 years ago

4 0

Step-by-step explanation:

Given functions:

f(x) = x(x - 1)
g(x) = 3x

Find (f*g)(6):

(f*g)(6) = f(6)*g(6) = 6(6 - 1)*3(6) = 30*18 = 540

In case it is a composite function (f · g)(6) the answer is different:

(f · g)(6) = f(g(6)) = f(3*6) = f(18) = 18*(18 - 1) = 306

You might be interested in

The play cost $2,600.00 to produce, and they intend to sell tickets for $10 each. After the play, Betsy will take the ticket pro

Natasha2012 [34]

Answer:

4,810

Step-by-step explanation:

$10 per ticket times 741 people (10 * 741) is 7,410, then subtract the cost to produce the play, 7,410 - 2600 = 4,810.

5 0

3 years ago

Y + 12 = -26 thank you if you answer me

tia_tia [17]

Answer:

-38

Step-by-step explanation:

1. Isolate y to one side.

y+12=-26

subtract 12 to both sides

y=-38

3 0

3 years ago

Read 2 more answers

Hello! Can someone help with this question?

IgorC [24]

Hello! :)

$\large\boxed{\text{70 seconds}}$

Use a proportion to find how many seconds are needed to fold 5 shirts.

We are given that he takes 28 seconds to fold 2 shirts:

28 sec : 2 shirts

We are not given the amount of time needed for 5 shirts, which we need to solve:

x seconds : 5 shirts

Express in a fraction:

$\frac{2 shirts}{28 seconds} = \frac{5 shirts}{xseconds}$

Cross multiply and simplify:

$2 * x = 5 * 28\\\\2x = 140\\\\x = 70 sec$

Therefore, he needs 70 seconds to fold 5 shirts.

5 0

3 years ago

Thanks for the help!

NikAS [45]

Answer:

Step-by-step explanation:

So we have the piecewise function:

$f(x)= \begin{cases}\sqrt{2x} & \text{if }x$

And we want to find f(8).

Since our input value is 8, choose the equation that fits our input.

The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.

The second equation demand x to e greater than or equal to 3 and less than 8. 8 is not less than 8. So, we won't use that.

The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.

So:

$f(x)=42\text{ if }x\geq 8$

$f(8)=42$

There're nothing more to do, we're done :)

The answer is A.

Edit: Improved Format

3 0

4 years ago

Solve the equation - <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bw%7D%7B5%7D" id="TexFormula1" title="\frac{w}{5}" alt="\frac{w}

Tatiana [17]

Answer:

w = -20

Step-by-step explanation:

- $\frac{w}{5}$ + 9 = 13

Shift the (+9) to the other side of the equation. (+9) will turn into (-9).

- $\frac{w}{5}$ = 13 - 9

= 4

Shift the (÷5) to the other side of the equation. (÷5) will turn into (×5).

-w = 4 × 5

= 20

Multiply both sides of the equation by (-1) so that -w will turn into w.

w = (-1) × 20

w = -20

5 0

3 years ago