Answer:
0.04
I rounded to one significant figures.
Answer: -2
Step-by-step explanation:
2(h -3.5) = -11 Distributive property
2h - 7 = -11. Add 7 to both sides
2h = -4. Divide both sides by 2
h = -2
Answer:
(a) The amount of ice cream increase as temperature increases
(b)
--- equation
--- y intercept
--- slope
Step-by-step explanation:
Given
See attachment for graph
Solving (a): The relationship between the variables
From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.
In other words;
The amount of ice cream increase as temperature increases
Solving (b): The line of best fit
First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).
From (2), we select any 2 points on the line:
The slope (m) is:
So, the line of best fit is:
Substitute known values:
The y-intercept is when
So, we have:
Let's take a look at the first few numbers in the sequence based on the given rule:
Inspecting this pattern it seems like the power
is being raised to is always one less than the number of the sequence, so if we were on the nth number in the sequence, that part of the expression would be
. We also know that we'll be multiplying whatever we get from that by 6, so we can write the full explicit rule for our sequence as
Where
is the nth number in our sequence.
To solve for m means to get it alone on a side
so..