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Lelu [443]
3 years ago
15

F(x) = x(x - 1)

Mathematics
2 answers:
Misha Larkins [42]3 years ago
8 0

Answer:

540

Step-by-step explanation:

(f*g)(6)=f(6)*g(6).

Now we need to find f(6) and g(6).  Once we find their values we multiply them.

f(6) means to replace x in x(x-1) with 6:

6(6-1)

6(5)

30

So f(6)=30.

g(6) means to replace x in 3x with 6:

3(6)

18

So g(6)=18.

(f*g)(6)=f(6)*g(6)=30*18=540.

Murljashka [212]3 years ago
3 0

Answer:

540

Step-by-step explanation:

f(x) = x(x - 1)

g(x) = 3x

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

            = (x^2 -x) * 3x

            = 3x^3 -3x^2

            =3x^2(x-1)

Let x = 6

(f* g)(6) = 3*6^2( 6-1)

            =   3*36 *5

                   540        

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1 year ago
The perimeter of the patio is 64 feet. The width of the patio is (x+2) feet and the length of the patio is (x+6) feet. What are
ValentinkaMS [17]

The formula for the perimeter is P = 2<em>w</em> + 2<em>l</em>, where <em>w</em> is the width and <em>l</em> is the length. It is given that the width = (x+2) and the length = (x+6). Therefore, we can make this equation:

P = 2<em>w</em> + 2<em>l</em>

64 = 2(x+2) + 2(x+6) ⇒ Distributive property

⇒ 64 = 2x + 4 + 2x + 12 ⇒ Combine like terms

⇒ 64 = 4x + 16 ⇒ Subtract 16 from both sides

⇒ 48 = 4x ⇒ Divide both sides by 4

⇒ x = 12

Then, we use x = 12 and substitute it in to find the length and width

<em>Width</em> = (x+2) = (12+2) = 14

<em>Length</em> = (x+6) = (12+6) = 18

The dimensions of the patio is <u>14 by 18</u>

5 0
3 years ago
A number cube has sides that are labeled 1 to 6. Jamal rolls the number cube. What is the probability that he will roll a 22?
Tems11 [23]

-- The probability of rolling a 22 is zero.  That result is impossible, because the sides are labeled with single digits 1 through 6 .  Since 22 is not printed anywhere on the cube, it can never come up.

-- The probability of rolling a<em> 2</em> , however, is <em> 1/6</em> . <em>(B)</em>

<em></em>

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4 0
3 years ago
Ivan has $1098 worth of $12 and $14 stock shares. The number of $14 shares is seven more than
Dafna1 [17]

Answer:

Number of 12$ Shares? 25

Number of 14$ Shares? 57

Step-by-step explanation:

Let x = number of $12 shares.

Let y = number of $14 shares.

"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098

The number of $14 shares is seven more than twice the number of $12 shares.

y = 2x + 7

We have a system of equations.

12x + 14y = 1098

y = 2x + 7

We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.

12x + 14(2x + 7) = 1098

12x + 28x + 98 = 1098

40x = 1000

x = 25

There are 25 $12 shares.

y = 2x + 7 = 2(25) + 7 = 57

There are 57 $14 shares.

Check:

25 × $12 + 57 × $1`4 = $300 + $798 = $1098

The total value is correct, so the answer is correct.

4 0
2 years ago
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