To find points, we use the graphing technique or analytic algebra.
Answer:
f(x) = x³ + x² - 5x + 3
Step-by-step explanation:
The cubic polynomial has zeros at 1, 1, - 3.
Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.
Hence, we can write the polynomial as a function of x as
f(x) = (x - 1)(x - 1)(x + 3)
⇒ f(x) = (x² - 2x + 1)(x + 3)
⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3
⇒ f(x) = x³ + x² - 5x + 3
So, this is the cubic polynomial function in standard form. (Answer)
<span>Together they wrap 14+12 = 26 boxes per hour.
t hours × 26 boxes/hour = 65 boxes
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Answer: A. y = 16 x
B. 8 days
Step-by-step explanation:
A) Here, 16 Fluid ounces of milk is used for breakfast every morning.
In one day the consumption of milk = 16 fluid ounces
In x days the consumption of milk = 16 x fluid ounces
Thus, if y be the total milk in ounces that is used in x days,
The required function,
y = 16 x
B) In 1 day, consumption of milk = 16 ounces
⇒
⇒
⇒
Since, 128 ounces = 1 gallon
⇒
In 8 days, 1 gallon of milk will consumed.
Answer: plot a point at (-8, -5)
The y coordinate flips from positive to negative, or vice versa, when we reflect over the horizontal x axis. The x coordinate stays the same.
The rule can be written as