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3 + 4i - 8 + 2i

= -5 +6i

(-5+6i)^2  =25 -60i + 36i^2

                 = 25 - 36 - 60i               you can finish

78%   represents 80% of the final  course grade

   the final exam represents 20%     the max score on the exam would be 100

78 (.80)    +  100 (.20)  = best final course grade

78(.80) + x (.20)  = 75       solve for 'x' to find score needed on exam to get 75 for the course

See the graph below....

 the trapezoid represents  x + y < 4     area =  7.5

   total double shaded rectangle area = 24

7.5/ 24 = 15/48    = 5/16

A friend has a 78% average before the final exam for a course. That score includes everything but the final, which counts for 20% of the course grade.

What is the best course grade your friend can earn? ?  %

What is the minimum score your friend would need on the final to earn a 75% for the course?  ? %
 

Mark down of price, x , means you pay 60%   or  .6x

  an ADDITIONAL 50% off would be   .3x         you pay 30% of original price

Need more info.....what is the question?

Need more info.....

Need more info.....

The equation of the dashed line can be found to be    y = 2x-1 

   the shaded are does NOT include the dashed line and is LESS THAN the dashed line

     y < 2x-1

P : T = 8 : 3

8 / 3 = (x + 20) / x

x = 12

2x + 20 = 44

The equation is y = 3x - 1, so the inequality is y <= 3x - 1, or 3x - y - 1 >= 0.

4.9089

18 000 x .042 = ...........                       (6.2 % of 18000 will be paid by employer)

100 km/hr   x     1000 m/km    x   1hr / 3600 sec    x     2 sec   =                 meters

19/3   x    17/3     x    6/36   =               yd³

Show steps plz

Eleven

35 beads left in the box

Hmmmm      44 440 ?

I THINK this is what you are looking for to answer your Q:

*** editing ***

x - 1/6x - 1/4x   = flour left to make cupcakes

1 - 1/6 -1/4

12/12  - 2/12 - 3/12 = 7/12

she needs 1/12 for each cupcake   ....   so 7 cupcakes can be made

n = nickels                      value =   5n

d = dimes = (53-n)      value = 10 ( 53-n)           summed, the values = 400

5n       +    10(53-n)         = 400        solve for 'n'

sqrt(25 - x^2)    <====== this term limits the domain....it must be positive (or zero)

                                 so the domain is   [-5,5]         width = 10

As follows: