Answer:
f(x) = { x, -5 ≤ x < 0 and 3x - 3, 1 ≤ x < 5
Step-by-step explanation:
The equation of one line is y = x
The equation of the other line is y = 3x - 3
Altogether,
f(x) = { x, -5 ≤ x < 0 and 3x - 3, 1 ≤ x < 5
Answer:
m1=43
Step-by-step explanation:
78-35=43
Answer:
a = z/mb
Step-by-step explanation:
Given:

To solve for a, divide both sides by the variables mb to isolate a-term.

Simplify the expression and we finally have solved for a-term.

Therefore, the answer to this question is a = z/mb.
Please let me know if you have any questions regarding my answer or explanation!
Its gonna be 229/12, u r gonna find the lcm of the 3 denominators which is 12 and complete the work
Answer:
Rita paid 47,500 dollars for the purchase price.
Step-by-step explanation:
We are given the sales tax on a new car is directly proportional to the purchase price of the car which means there is is something k such that
when you multiply it to the sales tax you get the purchase price.
Let's set this equation:
y=kx
Let y represent the purchase price and x the sales tax.
The second sentence tells us that (x,y)=(1500,30000).
We can plug this into y=kx to find the constant k. (Constant means it stays the same no matter what the input and output is).
So we have:
30000=k(1500)
300 =k(15) I went ahead and divided previous equation by 100.
Now divide both sides by 15:
300/15=k
Simplify:
20=k
So the equation to use the answer the question is
y=20x
where y is purchase price and x is sales tax.
So we want to know the purchase price on a car if the sales tax is 2375.
So replace x with 2375:
y=20(2375)
y=47500