A.
- There are no critical points because the graph is neither continuous nor smooth. There is a discontinuity at x = 2.
B.
- The absolute maximum is f(lim⇒-2_-) = infinity. The absolute minimum is f(lim⇒-2_+) = -infinity. This applies to the interval [-10, 7].
C.
- The absolute maximum is f(5) = 26/7 or 3.714. The absolute mimimum is f(0) = 1.75. This applies to the interval [0, 5]. Proof: graph f(x) at [0, 5] on a graph or graphing calculator.
Answer:
36
Step-by-step explanation:
First: add 24and 30 to get 54
Second: subtract 54 from 90
Third: then you get 36 as an answer
Answer:
15 and 27 are composite
Step-by-step explanation:
prime numbers only factor into 1(x) and x(1)
13 = 1(13), 13(1)
15 = 1(15), 3(5), 5(3), 15(1)
17 = 1(17), 17(1)
27 = 1(27), 3(9), 9(3), 27(1)
hope this helps
Answer:
Width = 16(√5) - 1
Step-by-step explanation:
We are told that the golden rectangle is 32 cm long.
Thus, length = 32 cm
We are also told that the ratio of the length to the width is; (1 + √5):2
Thus;
If a length of (1 + √5) yields a width of 2
Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)
So corresponding width = 64/(1 + √5)
We want to reduce this width to it's simplest radical form which means the denominator should have no square root.
Thus, let's multiply top and bottom by (1 - √5);
Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]
Width = 64(1 - √5)/(1 - 5)
Width = 64(1 - √5)/(-4)
Width = -16(1 - √5)
Width = 16(√5 - 1)
Width = 16√5 - 1
