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Elza [17]
3 years ago
10

100 POINTS!!! The table shows the values of a function f (x), What is the average rate of change of f (x) over the interval from

x = 5 to x = 9? Show your work.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

1. (f(x)-f(a))/(x-a) **A(x)=(f(x)-f(a))/(x-a) This average rate of shift attribute is designated by the letter A. *f(x) - f(a) represents the difference in the function f as the input transitions from a to x. x - a represents the change in the input of the function f.

f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 (f(5)-f(9))/(5-9)=(-2-14)/-4=4

Over the range of x = 5 to x = 9, the average rate of change is 4.

2. g(x)=2x2+13x+1, f(x)=4x2+6x

(f/g)(x)=(4x2+6x)/(2x2+13x+1) (f/g)(x)=(4x2+6x) (f/g)(x)=(4x2+6x)

f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85

3. f(x)=x2-6x+8, g(x)=x-2, g(x)=x-2, f(x)=g (x)

x2-6x+8=x-2, x2-6x-x+8+2=0, x2-7x+10=0, x2-6x-x+8+2=0

x1,2=(7+(72-4*10))/2=(7+3)/2 x1=5, x2=2 x1=5 x2=2

Step-by-step explanation:

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What are the values of mode and median in the following set of numbers? 1,3,3,6,6,5,4,3,1,1,2 Mode: 1, 2, Median: 2 Mode: 1,3, M
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<h3><u>given</u><u>:</u></h3>

<u>1 \: 3 \: 3 \: 6 \: 6 \: 5 \: 4 \: 3 \: 1 \: 1 \: 2</u>

<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>

the mode and median of the given numbers set.

<h3><u>solution</u><u>:</u></h3><h3><u>mode</u><u>:</u></h3>

the most frequently occurred number.

mode = 1 \: and \: 3

<h3><u>median</u><u>:</u></h3>

first arrange all the numbers in either decending or ascending order, then find the number in the middle.

1 \: 1 \: 1 \: 2 \: 3 \: 3 \: 3 \: 4 \: 5 \: 6 \: 6

median = 3

<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>median</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>following</u><u> </u><u>data</u><u> </u><u>set</u><u> </u><u>is</u><u> </u><u>3</u><u> </u><u>and</u><u> </u><u>the</u><u> </u><u>mode</u><u> </u><u>is</u><u> </u><u>1</u><u> </u><u>and</u><u> </u><u>3</u>

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Step-by-step explanation:

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5/$3.00 is the unit rate. Hope it helps!
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Answer:

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Step-by-step explanation:

SX =SM + MX

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      Combine like terms

        = 10x -11

8 0
3 years ago
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