Answer:
Undefined
Step-by-step explanation:
Slope of the line
On her first three 5-point math quizzes, Ami’s scores were 4,3, and 5. She will take 3 more quizzes this semester. What three scores would give her an average that is a whole number? A repeating decimal?
Answer: The three scores 2, 5, and 5 would give her an average that is a whole number.
The three scores 5, 5, and 3 would give her an average that is a repeating decimal
9, 0, -7
Answer:
x³ - 2x² - 63x
Step-by-step explanation:
Zeroes = 9 , 0 , -7
Factors = (x - 9) x (x + 7)
Polynomial = x (x - 9)(x + 7)
Polynomial = x (x² -2x - 63)
= x³ - 2x² - 63x
To find the polynomial f(x) of degree 3 with zeros 9, 0, and -7, we can use the zero-product property. The polynomial can be written as f(x) = (x-9)(x-0)(x+7), which simplifies to f(x) = (x-9)(x)(x+7). Expanding the expression and multiplying the remaining factors, we obtain f(x) = x^3 - 2x^2 - 63x.
To find the polynomial f(x) of degree 3 with the given zeros 9, 0, and -7, we can use the zero-product property. This property states that if a polynomial has a zero a, then (x-a) is a factor of the polynomial. Therefore, the polynomial can be written as:
f(x) = (x-9)(x-0)(x+7)
Simplifying further, we get:
f(x) = (x-9)(x)(x+7)
Expanding this expression, we have:
f(x) = (x^2 - 9x)(x+7)
Finally, multiplying the remaining factors, we obtain the polynomial:
f(x) = x^3 + 7x^2 - 9x^2 - 63x
= x^3 - 2x^2 - 63x
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