Answer:
f(x) = 10(10)+3 = 103 when x = 10
Step-by-step explanation:
Given a function piecewise as
f(x) = 2x-4 if -3<x<10
= x^2+3, if 10<=x<13
We see from the definition of f(x) that the function has domain as (-3,13) and two sets defined from (-3,10) and [10,13).
Since 10 less than or equal to sign is there in the second function interval, we find that 10 is included in that.
Hence for finding f(10) we use the function defined for interval including 10 i.e. x^2+3
Substitute 10 for x in x^2+3
f(10) = 10^2+3
=103
Hence answer is 103
Answer:
Approx. 2140.16 cubic centimeters
Step-by-step explanation:
The coins differ in value by 5¢, so swapping the numbers of them will change the value by 5¢ for each unit difference in the numbers of coins. Since
40¢ = 8 * 5¢
there must be 8 more dimes than nickels.
There are (22 +8)/2 = 15 dimes and 7 nickels.
_____
You could write some equations for this problem. Let n, d represent numbers of nickels and dimes.
.. n +d = 22
.. 10d +5n - (10n +5d) = 40 . . . . . . . cents
.. 5(d -n) = 40 . . . . . . . . . . . . . . . . . . reversing the coin count changes the total by 5 cents for each unit of difference (d -n), as stated above.
.. d -n = 8 . . . . . . . . . . . . . . . . . . . . . . divide the preceding equation by 5
Adding this last equation to the first gives
.. 2d = 22 +8
.. d = 30/2 = 15
.. n = 22 -15 = 7
There are 15 dimes and 7 nickels.
K=45
Hope that helped you!
880 is the answer for this arithmetic sequence
