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.
Answer:
The answer is C, First you must find the length of the diagonal gravel path and you can use Pythagorean Theorem to do this. 24^2+32^2=c^2 and solve for c which will get you 40 feet. Now, solve for the area of the path by multiplying 40*2 (2 feet wide) which will get you an area of 80 square feet. Multiply 80 by 3.5 and then the answer is $280. Hope this helped you :)
Step-by-step explanation:
Answer:
0.004
Step-by-step explanation:
4 x 1
4
<-- move decimal 3 to the left
0.004
Brainliest?
a) The formula for compound interest is:
Total = starting amount x (1 + interest rate)^ number of years
b)
Using the given information you have:
1200 = 500 x (1+0.045)^x where x is the length of time you want to find.
1200 = 500 (1.045)^x
Divide both sides by 500:
2.4 = 1.045^x
Use natural logarithms:
ln(1.045^x) = ln(2.4)
Solve for x:
X = ln(2.4) / ln(1.045)
X = 19.889 years ( Round the answer as needed).
Hope this helps i spent around fourty minutes trying to figure it out, but im still in my younger ages of highschool so yeah.