Answer:
54 - 10y
Step-by-step explanation:
Distribute each of the 3 parenthesis
= 12y + 24 - 32y + 32 - 10y - 2 ← collect like terms
= 54 - 10y
Answer:
i think the difference in height from the top to the bottom is 8ft
Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be
or
.
Since the shaded region A is above the line, the symbol is 
Observe that its y-intercept is:

The line of g(x) is solid. This means that the symbol of the inequality must be
or
.
Since the shaded region B is below the line, the symbol is
.
Observe that its y-intercept is:
.
Based on this, we can conclude that the graph represents the following System of Inequalities:

Answer:
Graph C
Step-by-step explanation:
y = .7x
For a direct variation, we know that the line has to go through the origin (0,0)
This eliminates graphs b and d. We also know that the slope is .7
When x = 1, y = .7. This eliminates graph a, because when x=1 y =1. This leaves us graph c
Answer:


Step-by-step explanation:
<u>Arithmetic Sequences
</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:

Where
an = nth term
a1 = first term
r = common difference
n = number of the term
The sum of the n terms of an arithmetic sequence is given by:

We are given the first two terms of the sequence:
a1=5, a2=8. The common difference is:
r = 8 - 5 = 3
Thus the general term of the sequence is:


The formula for the sum is:


Operating:
