H(arold) = 2 + 2*K(enneth)
H = 2 + 2K
H + K = 38
Substitution:
2 + 2K + K = 38
3K = 36
K = 12
Kenneth solved 12 problems and Harold solved (2(12) + 2 = 24 + 2 =) 26 problems
Answer:
1
Step-by-step explanation:
The production cost of company 1 never gets below 340 (at x=20), found e.g., by equating the derived function to 0.
You can figure out that g(x) = 0.05x^2 -7x + 300, but you already know that company 1 has higher cost based on the example values for g(x).
Answer:

Step-by-step explanation:
The recursive rule tells you the initial term of the sequence is a1 = -3, and the common difference is d=7. (7 is the value added to one term to get the next term.)
Putting these values into the formula for the explicit rule gives ...
an = a1 +d(n -1)
an = -3 + 7(n -1)
Answer:
11/238
Step-by-step explanation:
To find this, you must multiply the numerator by numerator (so in this case, -11 x -1; since you're multiplying a negative by a negative, they cancel out and it gives you a positive. So 11 x 1 is 11) Then, you multiply denominator by denominator. (14 and 17 is 238) So your fraction is 11/238. This can't be simplified any further.
Answer:
c = 2.25
Step-by-step explanation:
f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.
The average slope is ...
m = (f(4) -f(1))/(4 -1) = (24 -12)/3 = 4
The point at which the derivative is 4 is ...
f'(c) = 6/√c = 4
√c = 6/4
c = 2.25