42 and 63 both are at the rate of 2 to 3 and they add up to 105
Answer:
Part 1) Is a cubic expression
Part 2) The quadratic expression is 12x² + 8x − 1
Step-by-step explanation:
Part 1) Classify the expression: 5x³ + 2x − 3
we know that
Polynomials can be classified two different ways - by the number of terms and by their degree.
so
a) <u>By the number of terms</u> is a trinomial, because has three terms
b) <u>By their degree</u> The degree of the polynomial is found by looking at the term with the highest exponent on its variable
The highest exponent is 3 so this is a 3rd degree trinomial
therefore
Is a cubic expression
Part 2) Choose the expression that represents a quadratic expression
we know that
If the expression is a quadratic equation , then the highest exponent of the variable is 2
therefore
The quadratic expression is 12x² + 8x − 1
Answer:
V = 523.6 yd³
Step-by-step explanation:
The equation for the volume of a sphere of radius r is
V = (4/3)πr³
and if we substitute 5 yds for r, we get
V = (4/3)*π*(5 yd)³, or
V = (4/3)·π·125 yd³, or approxomately
V = 523.6 yd³
