Answer:
a. True
b. False
c. True (I'm not 100% certain but I believe that it is true)
d. True
Step-by-step explanation:
It represents a proportional and linear relationship.
It costs $9.75 for each ticket.
An inequality can be formed by simply translating the problem statement to numerical expressions.
From the problem we know that

added with

hours should be equal or greater than

(helpful insight from the keyword "at least"). Therefore, it's inequality would look like:

(>= is used instead of ≥ for constraints in formatting)
The inequality above best models the situation.
(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1
-4x - 6y = -24
4x - 3y = 6
You can cancel out the x values by adding the two equations together.
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2
Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3
Check... (x = 3, y = 2)
2(3) + 3(2) = 12
6 + 6 = 12
12 = 12 <- this works!
4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
Hey!
A function in slope-intercept form would look like y=mx+b; with the x and y values on the opposites of the equation.
A function in standard form would look like ax+by=c; with the x and y values on the same side of the equation.
Hope this helps!
Answer:
5040
Step-by-step explanation:
7!
= 1 × 2 × 3 × 4 × 5 × 6 × 7
= 5040