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Marina86 [1]
3 years ago
11

Number 2 and please explain

Mathematics
1 answer:
exis [7]3 years ago
4 0
Part of it is cut out
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For the function, f(x)=(9x+7)/(2x+4)
AVprozaik [17]
A. f(x)=\frac{9x+7}{2x+4}\\f'(x)=\frac{(9)(2x+4)-(9x+7)(2)}{(2x+4)^2}\\f'(x)=\frac{(18x+36)-(18x+14)}{(2x+4)(2x+4)}\\f'(x)=\frac{22}{4x^2+16x+16}\\f'(x)=\frac{11}{2x^2+8x+8}\\\frac{11}{(2x+4)(x+2)}=0\\\frac{1}{(2x+4)(x+2)}=0\\x=-\infty,\infty - There are no critical points because the graph is neither continuous nor smooth. There is a discontinuity at x = 2.

B. \frac{1}{(2x+4)(x+2)}=0\\x=-\infty,\infty - The absolute maximum is f(lim⇒-2_-) = infinity. The absolute minimum is f(lim⇒-2_+) = -infinity. This applies to the interval [-10, 7].

C. f(x)=\frac{9x+7}{2x+4}\\f(0)=\frac{9(0)+7}{2(0)+4}\\f(0)=\frac{7}{4}\\f(0)=1.75\\f(5)=\frac{9(5)+7}{2(5)+4}\\f(5)=\frac{45+7}{10+4}\\f(5)=\frac{52}{14}\\f(5)=\frac{26}{7}\\f(5)=3.714 - 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.
5 0
3 years ago
Use the given zero to find all the zeros of the function.
Hitman42 [59]

Answer:

11x + 5

Step-by-step explanation:

8 0
3 years ago
HELP <br> Tell wether the angles are adjacent,vertical, or neither.
mote1985 [20]

Answer:

  • 1. Adjacent, 2. Vertical, 3. Neither

Step-by-step explanation:

1.

  • The first pair is adjacent as they have common side.

2.

  • The second pair is vertical as opposite angles of the crossed lines.

3.

  • The third pair has no relationship with each other, so neither is the answer.
6 0
2 years ago
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Find the probability that a randomly selected card from a Euchre deck is a jack or a spade. (Enter the fraction reduced to the l
vivado [14]

Answer:

3/8

Step-by-step explanation:

There are 24 cards in a euchre deck with 4 Jack and 6 spade

P (J U S) = 4/24 + 6/24 - 1/24 = 1/6 + 1/4 - 1/24 = 3/8

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3 years ago
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeee!
Anestetic [448]

Answer:

D) 5x+1+ -3x - (-1)

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