Answer:
d = 6
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 23 and a₁₁ = 65 , then
a₁ + 3d = 23 → (1)
a₁ + 10d = 65 → (2)
Subtract (1) from (2) term by term to eliminate a₁
10d - 3d = 65 - 23
7d = 42 ( divide both sides by 7 )
d = 6
Answer:
If you are trying to simplify this, the answer would be: 
Hope this helps! If not, feel free to comment below and I'll see what else I can do to help. Thanks and good luck!
Answer:
y = -2.8x +69.4
Step-by-step explanation:
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
Answer:
D
Step-by-step explanation:
The line-of best fit is where a line would be drawn if there was one. The line goes through the majority of the dots and doesn't touch the outliers. Also the line is strait.
For one thing, Cal and Martha are <em>technically</em> in agreement; 0.1 and 0.10 are the exact same value. To see whether they're right, or whether Angela had it correct, let's take a look at the numbers 0.5 and 0.2.
As fractions, those two values would be
and
, or
and
when reduced. When you cut the original pizza in half, you cut it into <em>2 equal slices</em>. Cutting each of those two pieces into <em>5 equal pieces</em>, we get a total of 5 x 2 = <em>10 equal slices</em>. So, taking one of those slices at that point - as Angela did - would be taking
- or 0.1 - of the whole pizza.
So,
both Cal and Martha are correct.
