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:
First question, x= 10^10.
Second question is 10!. or 362880
Step-by-step explanation:
First Question:
Simple logx has a base of 10, i.e log10 x,
the question will be 10 = log10 x,
when taking the base "10" from the right side to the left, the number on the left side becomes the power of the base, in this case 10 from the right will be base and 10 from the left will power and log will vanish.
x=10^10.
Another example with different numbers
Y=logx if Y= 12, What is x?
The base is ten when not given,so:
12=logx
10^12=x
Second Question;
simple multiplication just multiply the numbers.
10! is pronounced as 10 factorial,
5! will be 5x4x3x2x1=120
Answer:
I believe it is 60 degrees
Step-by-step explanation:
90 degrees plus 30 is 120 then plus x will be 180 so 180 - 120 is 60
The number that expresses 6.72 as a fraction is simplest form is...
6.72= 168/25
Formula used: 40+x = 4x-3 x is used for <em>ET</em>
Step-by-step explanation:
40+x = 4x-3
<u>+</u><u>3</u> <u>+</u><u>3</u>
43+x = 4x
<u>-</u><u>x</u> <u>-</u><u>x</u>
<u>43</u> = <u>3x</u>
3 3
14.3 = x
then substitude this on 5x+3 on <em>W</em><em>T</em> and you arr good
