7x³ = 28x is our equation. We want its solutions.
When you have x and different powers, set the whole thing equal to zero.
7x³ = 28x
7x³ - 28x = 0
Now notice there's a common x in both terms. Let's factor it out.
x (7x² - 28) = 0
As 7 is a factor of 7 and 28, it too can be factored out.
x (7) (x² - 4) = 0
We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.
x (7) (x - 2) (x + 2) = 0
Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.
x = 0 -----> so x = 0
7 = 0 -----> no solution
x - 2 = 0 ----> so x = 2 after adding 2 to both sides
x + 2 = 0 ---> so = x - 2 after subtracting 2 to both sides
Thus the solutions are x = 0, x = 2, x = -2.
Answer:
Green: 15/49
Yellow: 18/49
Orange: 16/49
Step-by-step explanation:
Add the total amt. of balls, then divide a specific group of balls by the total # of balls to get the ratios.
She regrouped the numbers instead of multiplying like 8b(2b-r) -4r(2b-r).
Answer:
54
Step-by-step explanation:
keep multiplying by 3
Answer:
C(x) = 0.1x+23000
Step-by-step explanation:
Given that a company sells doughnuts. They incur a fixed cost of $23000 for rent, insurance, and other expenses. It costs $0.1 to produce each doughnut. The company sells each doughnut for $0.2.
Let X be the no of units produced
Then we have variable cost = 0.1x
Fixed cost = 23000 (irrespective of value of x)
Total cost

where C represents the total cost and x no of units produced.
Revenue function would be
assuming all doughnuts are sold.
Profit function would be
