x + 2 is a factor of V(x) = x³- 10x²+ 11x + 70; and x = -5 is not a possible rational zero.
<h3>What is a
cubic equation?</h3>
A cubic equation is a polynomial of degree 3.
Given the volume (V) is given by:
V(x) = x³- 10x²+ 11x + 70; where x is the length of the hot tub
a) x cannot be -5 because we cannot have a negative length, also:
V(-5) = (-5)³- 10(-5)²+ 11(-5) + 70 = -360; Also the volume cannot be negative.
b) x + 2 is a factor, hence:
x + 2 = 0
x = -2
v(-2) = (-2)³- 10(-2)²+ 11(-2) + 70 = 0
x + 2 is a factor of V(x) = x³- 10x²+ 11x + 70; and x = -5 is not a possible rational zero.
Find out more on cubic equation at: brainly.com/question/20896994
Answer:
x² + 9x + 20
Step-by-step explanation:
Area of a rectangle can be found by multiplying the base with height (or length with width).
A(r) = l x h.
Multiply. Plug in:
x + 5 for l
x + 4 for h
A(r) = (x +5) * (x + 4)
Use the FOIL method to solve. Multiply the first terms of both parenthesis, the outside terms, the inside terms, and then the last terms. Combine like terms:
A(r) = (x + 5) * (x + 4)
x * x = x²
x * 4 = 4x
5 * x = 5x
4 * 5 = 20
x² + 4x + 5x + 20
x² + (4x + 5x) + 20
x² + 9x + 20
x² + 9x + 20 is your answer.
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Answer:
48.9
Step-by-step explanation:
Subtract 2 from 99.8 = 97.8
Divide 97.8 by 2 - 48.9
Answer:
Suppose there are 1,000 candies in a jar. There are 50 children in a room. If i want to share 1000 candies among all the children. How can i divide 1,000 candies equally in 50 children.
Step-by-step explanation:
Create a story line(word problem) means to create a fake or real story by translating an algebraic expression in english.
We can create a story by the given 1,000/r:
Suppose there are 1,000 candies in a jar. There are 50 children in a room. If i want to share 1000 candies among all the children. How can i divide 1,000 candies equally in 50 children.
Here r = 50....