Solve for b
<span>b² =81-36=45 </span>
<span>x²/a² - y²/b² =1 </span>
<span>plug in and choose</span>
Answer:
and then we have:

Step-by-step explanation:
From the info given by the problem we need an integer defined as the smallest positive integer that is a multiple of 75 and have 75 positive integral divisors, and we are assuming that 1 is one possible divisor.
Th first step is find the prime factorization for the number 75 and we see that

And we know that 3 =2+1 and 5=3+2 and if we replace we got:

And in order to find 75 integral divisors we need to satisify this condition:
such that 
For this case we have two prime factors important 3 and 5. And if we want to minimize n we can use a prime factor like 2. The least common denominator between 2 and 4 is LCM(2,4) =4. So then the need to have the prime factors 2 and 3 elevated at 4 in order to satisfy the condition required, and since 5 is the highest value we need to put the same exponent.
And then the value for n would be given by:
and then we have:

the function f(x) = 3x + 5 has a slope of 3 and a y-intercept of (0,5).
Table 1, reproduced below, shows that for every unit increase in x, y increases by 3, and that y=5 when x=0 (which is the y-intercept).
Table 1 is the correct answer.
.x y
-3 -4
-2 -1
-1 2
0 5
Answer:
pairs
Step-by-step explanation:
Given
Profit on selling 'x' pairs of shoes is 
Find the derivative of the function to find out the critical points

Thus, for 4 pair of shoes profit is maximize.