In order to answer this question, we must break this mathematical expression up into a series of mathematical operations (exponent, multiplication,division, addition, and/or subtraction):
"4 times a number" - The word "times" implies that we have to multiply 4 by an unknown number. We can simply label this unknown number as x.
"cubed" - In order to "cube" a number, we must raise it to the third power, or have an exponent of 3. Our unknown number of x now becomes x3 because we raised it to the third power.
"decreased by 7" - The word "decreased" implies that we must subtract 7 from the product of 4 multiplied by x3
With all of the information we now have, we can form an algebraic expression for this problem.
"4 times a number cubed decreased by 3" now becomes:
4x3 - 7
2 to the 12th power should be correct
First, you want to get x by itself on one side. We write the equation as
. Since 14 is being subtracted from
, we add it to both sides to cancel it out,
or
.
Your answer would be D.
Answer:
a cone would be formed due to the point on the graph forming a triangle, and when a triangle is spun around an axis on one of its sides it will form a cone
Step-by-step explanation:
