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LenaWriter [7]
2 years ago
5

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Consider functions

f and g. Evaluate the function composition.

Mathematics
2 answers:
AnnyKZ [126]2 years ago
7 0

Step-by-step explanation:

(f.g)(_1)=f(6)

=8/6+2

=8/8

=1

salantis [7]2 years ago
4 0

Answer:

1

Step-by-step explanation:

Just learned how to do this two days ago

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(2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i)
anygoal [31]

Answer:

<h2>50+50i</h2>

Step-by-step explanation:

Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.

Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)

On expansion

(3 - i)(3 + i)

=  9+3i-3i-i²

= 9-(-1)

= 9+1

(3 - i)(3 + i) = 10

For the expression (2 + i)(1 - i), we have;

(2 + i)(1 - i)

= 2-2i+i-i²

= 2-i+1

= 3-i

Multiplying 3-i with the last expression (1 + 2i)

(2 + i)(1 - i)(1 + 2i)

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

= 3+6i-i-2i²

= 3+5i-2(-1)

= 3+5i+2

= 5+5i

Finally,  [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]

= 10(5+5i)

= 50+50i

Hence,  (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i

5 0
3 years ago
Suppose a baby food company has determined that its total revenue R for its food is given by R = − x 3 + 39 x 2 + 945 x where R
Paraphin [41]

Answer:

35,000 units

Step-by-step explanation:

Total revenue is:

R = -x^3+39x^2+945x

The maximum revenue is attained at the production level for which the derivate of the revenue function is zero:

R = -x^3+39x^2+945x\\R'=0=-3x^2+78x+945\\x=\frac{-b\pm\sqrt{78^2-(4*(-3)*945)} }{-6}\\x_1=35\\x_2=-9

Since production cannot be negative, revenue will be at a maximum when x = 35, or when the production level is 35,000 units.

4 0
3 years ago
Question : 1/9X ⅝ + (½)³=
Flauer [41]

Answer:

Step-by-step explanation: 1/9X ⅝ + (½)³ = 0.19

8 0
3 years ago
D = rt ; Solve for t
Nastasia [14]

Answer:

T stands for time

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
3х + бу = 24<br> figure out x and y intercept
____ [38]

Answer:

x int... (8,0)

y int... (0,4)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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