Answer:
- 1, 3, 7, 11, 15
Step-by-step explanation:
Substitute n = 1, 2, 3, 4, 5 into the rule, that is
a₁ = 4(1) - 5 = 4 - 5 = - 1
a₂ = 4(2) - 5 = 8 - 5 = 3
a₃ = 4(3) - 5 = 12 - 5 = 7
a₄ = 4(4) - 5 = 16 - 5 = 11
a₅ = 4(5) - 5 = 20 - 5 = 15
The first 5 terms are - 1, 3, 7, 11, 15
The answer to this question is b
Answer:
D: ![\frac{3}{(6-6)}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B%286-6%29%7D)
Step-by-step explanation:
Option A equates to ![-\frac{0}{2}=0](https://tex.z-dn.net/?f=-%5Cfrac%7B0%7D%7B2%7D%3D0)
Option B equates to ![\frac{(-4+0)}{8}=\frac{-4}{8}=-\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-4%2B0%29%7D%7B8%7D%3D%5Cfrac%7B-4%7D%7B8%7D%3D-%5Cfrac%7B1%7D%7B2%7D)
Option C equates to ![0\div11 =0](https://tex.z-dn.net/?f=0%5Cdiv11%20%3D0)
Option D equates to
which cannot be defined as division by 0 is impossible
Answer:
Cost function = 40a + 500
Cost of 90 articles = $4,100
Step-by-step explanation:
The fixed cost is $500 and it will.not change regardless of production level.
The Variable cost is $40 and increases by every additional unit produced.
Assume the number of articles produced is a.
Cost function would be:
Total cost = Variable cost * Number of articles + Fixed cost
TC = 40a + 500
Using this, the cost of 90 articles is:
= 40 * 90 + 500
= $4,100
A product is the answer that you get when you multiply numbers together. So for this problem, you have 2 groups to multiply together. Since I cannot show a square or cubed x, I will put an x2 for x squared and an x3 for x cubed. You have to multiply each number in the first parentheses by each number in the second parentheses. Then combine any like sets.
(8x-3)(x2-4x+8)
8x3-32x2+64x-6x+12x-24
8x3-32x2+70x-24
So the answer is 8x cubed minus 32x squared plus 70x minus 24. Whew! That's a long one. Hope I didn't miss anything.