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3 years ago

If f(x)= 3x2 and g(x) = x+2, find (f.g)(x).

Mathematics

1 answer:

Paha777 [63]3 years ago

7 0

Step-by-step explanation:

$f(x) = 3 {x}^{2} \: and \: g(x) = x + 2 \\ (f.g)(x) \\ = f(x).g(x) \\ = 3 {x}^{2} .(x + 2) \\ \red{ \boxed{ \bold{ \therefore f(x).g(x)= 3 {x}^{3} + 6 {x}^{2} }}} \\$

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4 years ago

Which equation describes this graph? A. y=−2x B. y=−2x−3 C. y=−2x+3 D. y=−3x−3

Zigmanuir [339]

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2 years ago

If the interest rate on a savings account is 0.018%, approximately how much money do you need to keep in this account for 1 year

Diano4ka-milaya [45]

We are not told how often the interest is compounded, so assuming it is compounded yearly, you need to keep $9.99 in the account to pay the fee.

Explanation: 
Compound interest follows the formula A=p(1+r)^t,
where:
A is the total amount in the account,
p is the amount of principal,
r is the interest rate as a decimal number,
and t is the number of years.

For our problem: 
A = 9.99,
p is unknown,
r = 0.018% = 0.00018,
and t=1.

This gives us: 
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9.99=p(1.00018).

Divide both sides by 1.00018: 
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3 0

3 years ago

Read 2 more answers

What is 6,812,783 rounded to the nearest thousand

Crank

the 2 is in the thousands place so we look at the next digit which is 7

7 is 5 or above so we give the 2 a shove or round it up to 3

6,813,000

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3 years ago

How many solutions does this linear system have? y = 2x – 5 –8x – 4y = –20

anzhelika [568]

Answer:

2 solutions.

Step-by-step explanation:

Rearrange the second equation:

-8x - 4y = -20

-4y = 8x - 20

Divide through by -4:

y = -2x + 5

and our first equation is

y = 2x - 5

Subtracting the 2 equations

0 = -2x -2x + 5 -(-5)

0 = -4x + 10

x = 5/2

and y = 2(5/2) - 5 = 0.

2 solutions.

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3 years ago