A box without a top is made from a rectangular piece of cardboard, with dimensions 25 inches by 20 inches, by cutting out square
corners with side length x inches.
Which expression represents the volume of the box in terms of x?
Which expression represents the volume of the box in terms of x?
2 answers:
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Answer:
x > 3
interval notation: (3, ∞)
Step-by-step explanation:
Given the inequality statement: 4x - 5 > 7,
The goal is to isolate x and find its solution.
Start by adding 5 to both sides:
4x - 5 + 5 > 7 + 5
4x > 12
Divide both sides by 4:
4x/4 > 12/4
x > 3
The solution can also be expressed in the following interval notation:
(3, ∞).
In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.
Answer:
see explanation
Step-by-step explanation:
One way to divide is to use the divisor as a factor in the numerator
Consider the numerator
x²(x - 3) + 3x² - x + 6
= x²(x - 3) + 3x(x - 3) + 9x - x + 6
= x²(x - 3) + 3x(x - 3) + 8(x - 3) + 24 + 6
= x²(x - 3) + 3x(x - 3) + 8(x - 3) + 30
quotient = x² + 3x + 8 , remainder = 30
= x² + 3x + 8 +