The answer is C. Since the sum is less than seven, we need to subtract a fraction. -6 over three is -2. 7-2 is five
It would be: (y2-y1) / (x2-x1) = (9-(-9)/5-5 = 18/0 = undefined
OPTION D IS YOUR ANSWER.........
There isn't a quotient of the division sign
Answer:
- geometric sequence with initial value 20 and common ratio 1/2
- average rate of change on [1, 3] = -7.5
Step-by-step explanation:
(a) The given points have sequential values of x and values of y that are each 1/2 the value before. The common ratio tells us the sequence is a geometric sequence.
(b) The first given point is (2, 10), so extrapolating backward, we determine the previous point to be ...
... (2-1, 10/(1/2)) = (1, 20)
Thus, we have enough information to determine the average slope between n=1 and n=3.
... (difference in y)/(difference in n) = (5 -20)/(3 -1) = -15/2 = -7.5
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.