A) y=(-0.49)x²+23.38x+996.03
B) 1267.63
Use technology for part A.
Using the equation from part A, substitute 20 in place of x:
y=(-0.49)(20²)+23.38(20)+996.03
y=1267.63
We want to multiply the monomial
by the monomial
.
Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents:
,
. Also, is worth pointing out that the exponent of a variable with no exponent is 1:
.
Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so
. Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.
Let's apply all of that to our multiplication:

We can conclude that 2x times x squared is 2x cubed.
<span>B. Square the number of the term, n</span>