Answer:
Between 1000 and 5000 snowboards will make the function AP(x) >0.
Step-by-step explanation:
Since x can only take possitive values, we have that AP(x) = P(x)/x > 0 if and only if P(x) > 0.
In order to find when P(x) > 0, we find the values from where it is 0 and then we use the Bolzano Theorem.
P(x) = R(x) - C(x) = -x²+10x - (4x+5) = -x²+6x - 5. the roots of P can be found using the quadratic formula:

Therefore, P(1) = P(5) = 0. Lets find intermediate values to apply Bolzano Theorem:
- P(0) = -5 < 0 ( P is negative in (-∞ , 1) )
- P(2) = -4+6*2-5 = 3 > 0 (P is positive in (1,5) )
- P(6) = -36+36-5 = -5 < 0 (P is negative in (5, +∞) )
The production levels that make AP(x) >0 are between 1000 and 5000 snowboards (because we take x by thousands)
Answer:
Y=4
Step-by-step explanation:Solve for yy in (y=4)(y=4).
y=4y=4
2 Substitute y=4y=4 into 1-1/2=2
2
No Solution
Answer:
Step-by-step explanation:
option 2
Answer:
$60
Step-by-step explanation:
If it is increasing annually then next year the savings will be $50+20% of $50
=>$50+$10
=>$60
I'm going to assume you need this inequality solved.
First, write it as numbers, not words.
7/10n + 14 < 49
where "n" is the unknown number.
Second, if I were you, I'd change that fraction into a decimal, as it'll make life easier later on.
7/10 = 0.7
Now, solve it like you would any other equation.
0.7n + 14 < 49
0.7n +14 - 14 < 49 - 14
0.7n < 35
0.7n ÷ 0.7 < 35 ÷ 0.7
n < 50
The answer is n < 50