Answer:
D
Step-by-step explanation:
Factor the numerators/ denominators
10 - 5 = 5(2a - 1) ← common factor of 5
4a² - 1 = (2a - 1)(2a + 1) ← difference of squares
[ Change ÷ to × and turn second fraction upside down ]
=
× 
[ cancel the factor (2a - 1) on the numerator/denominator ] leaving
=
= 
Answer:
4
Step-by-step explanation:
if its the difference quotient it is 4
Find f
(
x
+
h
) and f
(
x
)
, and plug these values into the difference quotient formula.
ps can u mark me brainliest if i got it right plz
Answer:
x<-3
Step-by-step explanation:
4+8x<-20
4+8x-4<-20-4
8x<-24
8x/8 < -24/8
x<-3

Differentiate both sides, treating
as a function of
. Let's take it one term at a time.
Power, product and chain rules:



Product and chain rules:




Product and chain rules:




The derivative of 0 is, of course, 0. So we have, upon differentiating everything,

Isolate the derivative, and solve for it:


(See comment below; all the 6s should be 2s)
We can simplify this a bit by multiplying the numerator and denominator by
to get rid of that fraction in the denominator.

The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
Learn more about Complex number from:
brainly.com/question/10251853
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