Answer:
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Step-by-step explanation:
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f(x) = x³ + x² - 5x + 3
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)
Number of hot dogs sold = 56
Number of hamburgers sold = 52
Let
Number of hot dogs sold = x
Number of hamburgers sold = y
We can make equation from given equations:
(Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )
(Together you sold 108 hot dogs and hamburgers.)
Now we cam solve these system of equations to find value of x and y
Subtract both equations to get value of x:
We get value of x = 56
Now putting value of x in equation 2 to find value of y
So, we get y = 52
Therefore,
Number of hot dogs sold = x = 56
Number of hamburgers sold = y = 52
The answer is 1,785,815