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Arlecino [84]
3 years ago
14

If f ( x ) = 3 - i and g ( x ) = 4i,

Mathematics
1 answer:
klemol [59]3 years ago
3 0

Answer:

f(x)g(x) = (3 - i)(4i) \\  = 12i - 4 {i}^{2}  \\  =  \boxed{12i  + 4 }\\ remember \:the \: value \: of \:  {i}\: is \:  \sqrt{ - 1}  \\ and  \: {i}^{2}  \: is - 1 \\ d. (4 + 12i)\: is \: the \: right \: answer.

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Garth estimated the height of the door to his classroom in meters .What is a reasonable estimate?
Paraphin [41]
The most reasonable answer would be 2 meters since two meters equals about 6 feet.
6 0
3 years ago
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If $-2 < x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.
kotegsom [21]

Answer: (-9, 16]

This is the interval from -9 to 16. Exclude -9 but include 16.

=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

-2 < x \le 3

5(-2) < 5x \le 5(3)

-10 < 5x \le 15

-10+1 < 5x+1 \le 15+1

-9 < 5x+1 \le 16

This converts to the interval notation  (-9, 16]

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

3 0
3 years ago
Reduce -3/-3 hurrry please.
Darya [45]

Answer:

=>1

=> \frac{-3}{-3}

=> Simplify:minus and minus simplify each other and so do 3 and 3

=> So were are left with 1

Thus,the answer is 1

Step-by-step explanation:

5 0
3 years ago
Can someone please help with this ?
creativ13 [48]

Answer:     -9n+20

This is the same as 20-9n

================================================

Explanation:

The jump from 11 to 2 is "minus 9"

The jump from 2 to -7 is also "minus 9".

Assuming this pattern continues on, we have an arithmetic sequence with

  • a = 11 = first term
  • d = -9 = common difference

The nth term can be found like so

a_n = a + d(n-1)\\\\a_n = 11 + (-9)(n-1)\\\\a_n = 11 -9n + 9\\\\a_n = -9n+20\\\\

Let's check the answer by trying n = 3

a_n = -9n+20\\\\a_3 = -9*3+20\\\\a_3 = -27+20\\\\a_3 = -7\\\\

This shows the third term is -7, which matches what the original sequence shows. The answer is partially confirmed. I'll let you check the other values of n. You should get 11 when trying n = 1, and you should get 2 when trying n = 2.

4 0
2 years ago
Solve 5r2 – 12 = 68. {±4} {±5} {±3} {±6}
Airida [17]

Add 12 to both sides:

5r^2 = 80

Divide by 5:

r^2 = 16

Square root both sides:

r = +/- 4

The answer is {+/- 4}.

3 0
3 years ago
Read 2 more answers
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