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2 years ago

Please can someone help me ?

Mathematics

2 answers:

anygoal [31]2 years ago

5 0

Answer:

-3-5i

Step-by-step explanation:

Eddi Din [679]2 years ago

4 0

z = -14 + 21i / -2 - 4i

Rectangular form:

z = -14-14.5i

Exponential form:

z = 20.155644 × ei (-133°59'42″)

Polar form:

z = 20.155644 × (cos (-133°59'42″) + i sin (-133°59'42″))

Polar form - absolute value (modulus) and angle (argument):

r = |z| = 20.15564

φ = arg z = -133.99491° = -133°59'42″ = -0.74442π

Calculation steps

Divide: 21i / (-2) = -10.5i

Add: -14 + (-10.5i) = -14-10.5i

Subtract: (-14-10.5i) - 4i = -14 + (-10.5-4)i = -14-14.5i

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Eli drove 856 miles on 29.4 gallons of gas what was his gas mileage rounded to the nearest mpg?

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3 years ago

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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

charle [14.2K]

ANSWER

See below

EXPLANATION

Given

$f(x) = \frac{ {x}- 9 }{x + 5}$

and

$g(x) = \frac{ - 5x - 9}{x - 1}$

$(f \circ \: g)(x)= \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }$

Expand:

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9x + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9x + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }$

Since the denominators are the same, they will cancel out,

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2 years ago

How is your day ill give brainliest

trapecia [35]

Answer:

pretty boring, I'm kind of tired to be honest. What ab you?

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2 years ago

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Mason works h hours each day during the 5-day workweek. He also works 5 hours on the weekend. Write an algebraic expression for

Simora [160]

Answer:

7x +5

Step-by-step explanation:

Mason works h hours each day during the 5-day workweek. He also works 5 hours on the weekend. Write an algebraic expression for the number of hours Mason works each week.

"h hours each day in the week"

There are 7 days, so 7 × x.

"5 hours on the weekend"

So, this can be written as 7x + 5.

Hope I helped, have a nice day!

-Aadi x

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2 years ago