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ZanzabumX [31]
3 years ago
10

Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work please! I have the answer: 21 + `12i but I need to show my wo

rk, thank you!
Mathematics
1 answer:
masha68 [24]3 years ago
8 0

Answer:

21+12i i hope this will help you

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

=[3(1+5i)-4i(1+5i)]-(2-i)

=[3+15i-4i-20i²]-(2-i)

=(3+11i-20i²)-(2-i)

opening brackeys

=3+11i-20i²-2+i

=3+11i+1i-20i²-2

as we know that i²=-1

=3-20(-1)-2+12i

=3+20-2+12i

=21+12i

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After how many months will colony 2 always have more bacteria than colony 1?
MaRussiya [10]

The true statement is that colony 2 will always have more bacteria than colony 1 after 4 months

<h3>How to determine the number of months?</h3>

The functions are given as:

  • Colony 1: f(x) = x^2
  • Colony 2: g(x) = 2^x

When colony 2 has more bacteria than colony 1, then it means that:

g(x) >f(x)

Substitute the function values

2^x > x^2

From the graph of both functions, we have:

2^x > x^2 at x >4

This means that colony 2 will always have more bacteria than colony 1 after 4 months

Read more about functions at:

brainly.com/question/11464095

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6 0
2 years ago
Determine the x and y intercept for the graph of 7x+3
AveGali [126]

Answer:

y-intercept is 3 and x-intercept is -3/7

Step-by-step explanation:

to find the y-intercept let x = 0 and solve for y.

y=7(0) +3

y=0+3

y=3

to find the x-intercept let y = 0 and solve for x

0 = 7x + 3

-3 = 7x

-3/7 =x

3 0
3 years ago
What is the volume of the cone to the nearest whole number?<br><br><br>HELP PLZ
goldfiish [28.3K]

Answer:

167.467mm^3

Step-by-step explanation:

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=160/3(pi)

(Pi=3.14)

160/3pi=167.467mm^3

4 0
2 years ago
Is this a monomial, binomial, or trinomial? 13<br><br><br>​
oksian1 [2.3K]

Answer:

Monomial

Step-by-step explanation:

A monomial is a algebraic expression that consists of one term. Plus, any whole number, all by itself, is a monomial. 13 consists of one term and it is a whole number.

5 0
2 years ago
A plane traveled 924 miles to Lagos and back. The trip there was with the wind. It took 11 hours. The trip back was into the win
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Answer:84mph there and 42mph back

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3 years ago
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