Evaluate the expression when a=−15a=−15 and b=−5b=−5. b + 14a=
1 answer:
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The length of the rectangular delivery box must be equal to 4 inches.
Let the length of the box be L.
Let the width of the box be W.
Let the height of the box be H.
<u>Given the following data:</u>
- Volume of box = 224 cubic inches.
Translating the word problem into an algebraic expression;
......equation 1
......equation 2.
Mathematically, the volume of a rectangular solid is given by the formula;
.....equation 3.
Substituting the values into equation, we have;
Rearranging the polynomial, we have;
We would apply the remainder theorem to solve the polynomial.
According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.
When x = 3
We would try with 4;
Therefore, 4 is one of its roots.
Hence, the length of the rectangular delivery box must be equal to 4 inches.
Find more information on polynomial here: brainly.com/question/10689855
<u>Given</u>:
The given expression is
We need to simplify the given expression.
<u>Simplification</u>:
Let us simplify the given expression.
Rewriting the given expression, we have;
Let us apply the exponent rule , we get;
Taking LCM, we have;
Simplifying, we get;
Thus, the simplified value of the given expression is
Hence, Option a is the correct answer.