Answer: B. 7d + 18
Step-by-step explanation:
7 ( d + 3 ) - 3
expanding , we have :
7d + 21 - 3
= 7d + 18
Answer: 1

g(x) is in the form f(x)+k where k = 1. To go from f(x) to g(x), shift the entire graph up 1 unit.
Answer:
We have the system:
x ≤ 7
x ≥ a
Now we want to find the possible values of a such that the system has, at least, one solution.
First, we should look at the value of a where the system has only one solution:
We can write the 2 sets as:
a ≤ x
x ≥ 7
So, writing both together:
a ≤ x ≤ 7
if a is larger than 7, we do not have solutions.
then a = 7 gives:
7 ≤ x ≤ 7
Here the only solution is 7.
Now, if a is smaller than 7, for example 5, we have:
5 ≤ x ≤ 7
Now x can take different values, so we have a lot of solutions.
Then the restrictions for a, such that the system has at least one solution, is:
a ≤ 7.
Answer:
0.5
Step-by-step explanation:
From the figure the line passes through the points (0,2) and (4,4).
The slope of the line that passes through the points
and
is always

Therefore, the slope of the graphed line is
