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.
Answer:
Step-by-step explanation:
2a. f(-3) = (-3)^2-4(-3)+6 = 9+12+6 = 27
2b. f(-2) = 3(-2)^2-(-2)^3 -2 +1 = 3(4) - (-8) -2 +1
= 12+8-1 = 19
6n + 8n
Which is 6 * n + 6 * 8, n being a number.
Answer:
b. both functions have a negative slope
Step-by-step explanation:
The given function is

This function is of the form
, where
is the slope and
is the y-intercept.
We can also determine the slope of the function in the table using any two points, say
.
The slope formula is given by,
.
If
, then,

.
We can see that both functions have a negative slope.
The correct answer is B.