Answer:
x = 9
Step-by-step explanation:
6 × 9 = 54
54 + 15 = 69, which is less than 70.
Ok so
8000=cost
profit-8000
then
another cost is 15rand per mug
but profit of 35 rand
35-15=20
profit of 20rand per mug
profit=R20m-8000
where m=number of mugs sold
(R20 means 20 rand)
f(m)=R20m-8000
You can determine this by doing b² - 4ac (using the values in the quadratic function) and see if it is greater than zero, less than, or equal to. If it is greater, then it has 2 x-intercepts or zeroes. If it equals zero, then you have one x-intercept. If it equals less than zero, you have no x-intercepts.



so if you notice yours

now.. normally the function

has a D value of 0, or no vertical shift, and the amplitude and the period simply make the wave taller and thinner, but the midline is still the x-axis
now, with D = 6.1, that moves the midline up vertically that much
now.. the period, well, B = 5/3, normal period of cosine is

so, the new period will be

notice the picture below
the vertical shift by the D component, or 6.1, moved the midline to y = 6.1 :)
The answer is 1 and 1/12 because you have to have a common denomonator.