The volume of a rectangular prism is its length times width times height, or algebraically, 
. You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute 
into the formula for volume. You get 
, and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get 
. It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule 
, if n is non-negative. The opposite applies so that 
. For your final answer, you write 
. This corresponds to answer choice B.
What are the solutions for x when y is equal to 0 in the quadratic function y= x2 + x - 72?
1 answer:
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Answer:
First tangent line:
Second tangent line:
Notice: slope of -1 means that both are equal to -1, so
Answer: d.
Explanation:-
- The fundamental theorem of algebra tells that every non-constant single-variable polynomial with complex coefficients has at least one complex root.
- Corollary to the fundamental theorem tells that every polynomial of m>0 degree has exactly m zeroes.
Thus only option d. with degree 6 has exactly 6 roots.