Answer:
The width which gives the greatest area is 7.5 yd
Step-by-step explanation:
This is an application of differential calculus. Given the area as a function of the width, we simply need to differentiate the function with respect to x and equate to zero which yields; 15-2x=0 since the slope of the graph is zero at the turning points. Solving for x yields, x=7.5 which indeed maximizes the area of the pen
Answer:
y = 11 1/2
Step-by-step explanation:
7y - 63 = y + 3
-y. -7
6y - 63 = 3
+ 63. + 63
6y = 69
/6. /6
y = 11 1/2
Answer:
3 gulps
Step-by-step explanation:
In this problem, f(x) = 3. Plug this into the equation:
3 = -3x + 12
Solve for x:
3 - 12 = -3x + 12 - 12
-9 = -3x
-9 / -3 = -3x / -3
3 = x
3 gulps
Answer:
8
Step-by-step explanation:
1. 3b - 2 (1 - b) / a - 2
2. 3(2) - 2 (1 - 2) / 3 - 2
3. 6 - 2 (-1) / 1
4. 6 + 2 / 1
5. 8 / 1
6. 8
Answer:
A) Rational
B) Irrational
C) Rational
D) Irrational
Step-by-step explanation:
Irrational numbers cannot be expressed as a ratio of two number, whereas rational numbers can be. 81 can be expressed as 9*9 whereas, 89 cannot be expressed as ratio of two numbers.