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ikadub [295]
3 years ago
10

What is the value of 3(2)^ 2 ?

Mathematics
1 answer:
Elena L [17]3 years ago
5 0

Answer:

The answer is...12.

Step-by-step explanation:

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Help I’m taking the test right now ....
PtichkaEL [24]
Subtract two from your get 2
6 0
3 years ago
Given f (x ) = x^2 + 3x + 2 and g (x ) = x + 1, perform the indicated operations.
Nana76 [90]

Answer:

(i) (f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2

Step-by-step explanation:

The given functions are;

f(x) = x² + 3·x + 2

g(x) = x + 1

(i) (f - g)(x) = f(x) - g(x)

∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1

(f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = f(x) + g(x)

∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3

(f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = f(x) × g(x)

∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2

(f·g)(x) = x³ + 4·x² + 5·x + 2

7 0
3 years ago
A three-digit number ends in number 7. If you put the number 7 in the first position, the number will increase by 324. Find the
liq [111]

Answer:

<u>The original three-digit number is 417</u>

Step-by-step explanation:

Let's find out the solution to this problem, this way:

x = the two digits that are not 7

Original number = 10x+7

The value of the shifted number = 700 + x

Difference between the shifted number and the original number = 324

Therefore, we have:

324 = (700 + x) - (10x + 7)

324 = 700 + x - 10x - 7

9x = 693 - 324 (Like terms)

9x = 369

x = 369/9

x = 41

<u>The original three-digit number is 417</u>

5 0
3 years ago
You are considering buying two different vehicles. • The first is a van at $20,523, and an estimated annual operating cost of $3
torisob [31]

Answer:

Fill in the following tables, using the equations.

Cost of owning and operating the vehicles

Vehicle    0              1              2             3             4               5             6    

Van     $20,523   $23,723  $26,923  $30,123  $33,323 $36,523  $39,723

Car      $23,540  $25,990  $28,440  $30,890 $33,340 $35,790  $38,240

How much does each vehicle cost initially?

  • Van costs $20,523
  • Car costs $23,540

How much does each cost to operate for one year?

  • Van costs $3.200
  • Car costs $2,450

Which one initially costs less?

  • Van

Which one will cost less over the six years?

  • Car

When do they cost about the same?

  • year 4: van accumulated costs $33,323 and car accumulated costs = $33,340

4 0
3 years ago
What is the slant height for the given pyramid to the nearest whole unit?
Blababa [14]
Im assuming the height is dropped so that it is the halfway point. this would then make the base 5cm, with a height of 12cm. if that is the case then the answer should be 13
4 0
3 years ago
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