Show all work to multiply quantity 3 plus the square root of negative 16 end quantity times quantity 6 minus the square root of negative 64 end quantity

50

Explanation:

The equation would be (3+√-16)(6-√-64)

A negative square root can not be a real number, meaning that we have to use the imaginary number.

(3+4i)(6-8i)

How to multiply imaginary numbers...

Treat this like an equation looking like (x-a)(y-b)

Use FOIL

(3+4i)(6-8i)

= 18-24i+24i-32i²

= 18-32i²    (i²= -1 because i= √-1)

= 18- (-32)

= 18 + 32

= 50

solution

= 50

\/64 = \/ 2x2x2x2x2x2 = \/ 2^2 x2^2 x2^2 = 2x2x2=8

\/16 = \/ 2x2x2x2 = \/ 2^2 x 2^2 = 2x2 = 4

\/ -1 = i

=( 6 + 8i) *(3-4i)

=6 x 3 - 6 x 4i + 8i x 3 - 32i^2

=1-24i+24i-32(-1)

=18+32

=50

Step-by-step explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.