In piecewise linear functions, the endpoint of one segment and the initial point of the next segment can have the same x-coordinate but a different value of f(x).
Such difference in values is called a step or discontinuity and such a function is called a discontinuous function.
Here in this case, there are 3 discontinuities: x=-3, x=3 and x = 5.
x = -3 because x is smaller than or greater than -3 but not equal.
x = 3 since greater than 3 in one of the inequalities.
x = 5 since x is smaller than 5 in one of the limits.
Step-by-step explanation:
A:B:C
2:3
6:7
12:18:42
I think...
X = y + 12. You then substitute or plug in that from the first equation into the second equation. You get (y+12)+y=18, then you simplify to get your y value. In this case y = 3. The you can plug your y value into either equation. (x+3=18) or (x-3=12) or (x=3+12) either way you get x=15 and y=3.
Answer:
4322 ft^2
Step-by-step explanation:
First, we need a formula. The formula is (50*110) - (3.14*18^2) - (4*40). The answer is 4322 ft^2 (This is the rounded answer)
Answer:
I would rather do the second option of which uses Compound interest that will give a profit of $47.85
Step-by-step explanation:
In this problem we will be exploring the two formulas
1. simple interest
A= P(1+r*t)
2. compound interest
A= P(1+r/n)^nt
Where A= final amount
P= initial amount
r= rate
t= time.
n= number of periods Compounded
1.given data
P= $600
r= 3%= 3/100= 0.03
t= 2 years
A= 600(1+0.03*2)
A= 600(1+0.06)
A= 600(1.06)
A= $636
Interest = 636-600= $36
2. Given data
P= $600
r= 4%= 4/100= 0.04
n= 24
t= 2
A= 600(1+0.04/24)^24*2
A=600(1+0.0016)^48
A=600(1.0016)^48
A= 600*1.07975
A= 647.85
Interest = 647.85-600= $47.85
