The sequence of numbers decrease by 6 each time, so we can write:
f(1) = 5
f(2) = -1
f(3) = -7
f(1) - f(2) = 6
or:
f(2) = f(1) - 6
which means:
f(n + 1) = f(n) - 6
Answer:
Yes
Step-by-step explanation:
The points will be on the same line if they have the same slope. Calculate the slope of each pair. If the slopes are the same, then they lie on the same line.



The slope is the same.
Answer:
Step-by-step explanation:
<em>Step 1: Determine quantity per liquid</em>
liquid 1=7/8 cup
liquid 2=9/10 cup
<em>Step 2: Derive expression to calculate total amount of mixture</em>
The expression below can be derived;
T=a+b
where;
T=total amount of mixture
a=total amount of liquid 1
b=total amount of liquid 2
In our case;
a=7/8 cup
b=9/10 cup
replacing;
T=(7/8)+(9/10)=1 31/40 cups
The total amount of mixture=1 31/40 cups
Given that:
(x+2)(2x-5)=54
We have:

Using the quadratic formula, this is approximately 5.66, so rounded to the nearest whole number, our answer is 6.