98 points : ) 1 which of the following is the conjugate of a complex number with 5 as the real part and −2i as the imaginary part? 5 + 2i −5 − 2i −5 + 2i 5 − 2i 2 simplify the expression the root of negative nine over the quantity of three minus two i plus the quantity of one plus five i.. the quantity of twelve minus nine i all over twenty five. the quantity of twelve minus nine i all over seven. the quantity of nine plus twelve i all over twenty five. the quantity of nine plus twelve i all over seven. 3 simplify 4 times square root 24 minus 4 square root 8 plus square root of 98. 7 square root 2 23 square root 2 negative square root 2 plus 16 square root 3 negative square root 2 plus 8 square root 6 4 simplify 3 times the 3rd root of 16. 5 times the 3rd root of 2 6 times the 3rd root of 2 12 times the 3rd root of 2 27 times the 3rd root of 2 5 use the table below to answer this question: x y −1 −3 0 −1 2 3 find the average rate of change for the given function from x = −1 to x = 2. −2 −1 1 2

1. Concept: Complex numbers of the form (a+bi) and (a-bi) which have the same real parts and whose imaginary parts differ in sign only, are called conjugate of each other.

Correction: 5 is a real part and -2i is an imaginary number(not imaginary part) (but -2 is known as imaginary part :)

in this question,

z= 5-2i

z* = 5+2i ( conjugate of z with real part as it is and imaginary part(opposite in sign))

A is the correct answer.

2.

first simplify the denominator which is √-9 = √9 *√-1 = 3*i = 3i

now simplify the denominator which is 3-2i+(1+5i) = 4+3i

now multiply and divide it by (4-3i)(which is the conjugate of 4+3i)

⇒ i² = -1 so

C is the correct answer.

3. 4√24 -4√8 +√98

you can write 24 as 6*4, 8 as 4*2, 98 as 49*2.

= 4√(6*4) -4√(4*2) +√(49*2)

= 4*√6 *√4 -4*√4 *√2 +√49* √2

= 4*2*√6 -4*2 *√2 + 7* √2

= 8√6 -8√2 +7√2

= 8√6 +√2(-8+7)

= 8√6 -√2

D is the correct answer.

4. 3∛16

you can write 16 as 2*2³ and ∛ as .

=

= *

= 3* 2 * ∛2

= 6∛2

B is the correct answer.

5. The average rate of change for a given function from x=-1 to x=2 = Δy/Δx

so,

Δy/Δx = (-1-(-3))/ (0-(-1))

Δy/Δx = (-1+3)/ (0+1)

Δy/Δx = 2/ 1

average rate of change of given function=Δy/Δx = 2

D is the correct answer.

abde or 1,2,4, 5 is the answer

step-by-step explanation:

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.