Answer: first problem 3rd choice The graph shifts vertically up 5 units
11.) the y intercept is -5
19.) f(-8) = -18
last item third choice All real numbers such that are ≥ 0 and ≤ 40
Step-by-step explanation:
19.) f(x)=2(-8 -3) + 4
2 (-11) + 4
-22 + 4
f(-8) = -18
Answer: Inconsistent
<u>Step-by-step explanation:</u>
y = 3x + 4 → m = 3, b = 4
y = 3x + 3 → m = 3, b = 3
These equations have the same slope but different y-intercepts so they are parallel lines <em>which means they will never intersect.</em>
NOTES
- one solution: consistent & independent <em>lines cross</em>
- infinite solutions: consistent & dependent <em>same line</em>
- no solution: inconsistent <em>parallel lines</em>
The total number of student tickets were sold is 183 if the theater production cost $18 for students and $25 for non-students.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the x number of students tickets were sold and
y number of tickets were sold for non students.
Then we can frame two linear equations:
x + y = 320 ...(1)
18x + 25y = 6719 ...(2)
From equation (1) take the value of y and plug into the equation (2)
18x + 25(320 - x) = 6719
18x + 8000 - 25x = 6719
7x = 1281
x = 183 tickets
Thus, the total number of student tickets were sold is 183 if the theater production cost $18 for students and $25 for non-students.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ1
Answer: C because that is the actual definition.
