Answer:
The zeros of the given function are -9,-1 and 12.
Step-by-step explanation:
The given function is
It is given that the x-intercept of the graph is -9, therefore -9 is a zero of the function.
Since -9 is the zero of the function, therefore (x+9) is a factor of f(x). Use synthetics method or long division method to divide the function by (x+9).
Use zero product property and quote each factor equal to 0.
Therefore zeros of the given function are -9,-1 and 12.
Part A: (no overtime) E = 18x. Please note that x cannot exceed 35, thus E cannot exceed $630.
Part B: T = 25y + 18x where x = 35 hours. Thus, T = 25y + 630.
Part C: T = $730. 730 = 630 + 25y. Subtract 630 from both sides. 100 = 25y. Divide both sides by 25. y = 4. This is the number of overtime hours -- remember that Dominic has already worked 35 hours non-overtime. 35 + 4 = $730.
Standard form: ax^2 + bx + c = y
Steps to simplify:
2x^2 - 1 = 3x + 4
~Subtract (3x + 4) to both sides
2x^2 - 1 - 3x + 4 = 3x + 4 - 3x + 4
~Simplify
2x^2 - 3x - 5 = 0
(a = 2, b = -3, c = -5)
Now that we know what these values are, we can use the quadratic formula to solve.
Answer: x = 5/2 or x = -1
Best of Luck!
30 percent of 16 is 4.8 so you actually get 4.8 fluid ounces of juice
