It is equilateral triangle, so the 3 sides have the same length
5x - 22 = 4x - 10
5x - 4x = -10 + 22
x = 12
The value of x is 12
Find Lim f(x) as x->0
for
f(x)=5x-8 ......x<0
f(x)=|-4-x|......x ≥ 0
Clearly
f(0)=|-4-0|=|-4|=4 exists.
The left-hand limit, as x-> 0- is f(0-)=5(0)-8=-8
The right hand limit, as x->0+ is f(0+)=|-4-0|=|-4|=4
Since the left and right limits do not both equal f(0), the limit does not exist.
The answer to the question is 25%
Hello!
The equation that represents this situation is A. 3t = 27.
Explanation:
This is because an equation is a "mathematical sentence" and this equation says that if you multiply the costs of the three friends' tickets, the total cost would be $27.
We are given the following function and want to find the y-intercept:

Just substitute the value x=0 into the equation to find the value of the y-intercept:

Simplify

Simplify again

Since the value of f(x), or y, when x=0 is 66, the y-intercept of this function is 66.
Let me know if you need any clarifications, thanks!
~ Padoru