Answer:
Given f(-2)
= -5 -7(-2)
= -5+14
= 9
Thus f(-2) of f(x)= 5-7x is 9
A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
Answer:
23.55
Step-by-step explanation:
The answer is actually a repeating decimal with an infinite amount of 5s but you only really need to show 2 or 3 to show that it's repeating
<span>-5p^3(4p^2 + 3p - 1) = -20p^5 - 15p^4 + 5p^3
answer is
A. first one
</span>-20p^5 - 15p^4 + 5p^3
Answer:
i believe the answer is a. There are no solutions to the system because the equations represent parallel lines.
Step-by-step explanation: