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PIT_PIT [208]
3 years ago
7

Find the average rate of change for f(x) = x2 − 3x − 10 from x = 4 to x = 6

Mathematics
1 answer:
cluponka [151]3 years ago
6 0
I believe you meant f(x) = x^2 - 3x - 10.
                                                              f(b) - f(a)
The ave. r. of c. formula is     a. r. c = -----------------
                                                                 b -a
                               (6)^2 - 3(6) - 10 - [(4)^2 - 3(4) - 10]
Here,   a. r. c. =   ------------------------------------------------------        
                                                      6-4
                                           36 - 18 -10 - 16 + 12 + 10
     ... which comes out to ---------------------------------------
                                                                2

                a. r. c. = 7             for x^2 - 3x - 10 on the interval [4,6]


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The answer is D. Think of the Pythagorean Theorem which states that a^2 + b^2 = c^2. The Pythagorean Identities used in trigonometry are the angle version which can be used to simplify expressions.
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3 years ago
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A boy bought a sandwhich 49 inches long. He want to cut it into 3 pieces. the middle piece is 5 inches longer than the shortest
miss Akunina [59]
S+M+L=49

(L-8)+(S+5)+L=49

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You are researching the price of MP3 players. You found an average price of $58.80. One MP3 player costs $56 and another costs $
Butoxors [25]

The price of third MP3 player is $58.40

Step-by-step explanation:

Given,

Cost of one MP3 palyer = $56

Cost of another MP3 player = $62

Average price of MP3 player = $58.80

Let,

Cost of third MP3 player = x

Average = \frac{Sum\ of\ costs}{Number\ of\ items}

{58.80}=\frac{56+62+x}{3}

Multiplying both sides by 3

3*{58.80}=\frac{56+62+x}{3}*3\\176.40=118+x\\176.40-118=x\\58.40=x\\x=58.40

The price of third MP3 player is $58.40

Keywords: average, division

Learn more about division at:

  • brainly.com/question/8907574
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Answer:

12

Step-by-step explanation:

4 0
3 years ago
how do I solve this quadratic simultaneous equation 2y+2x=7 and x^2-4y^2=8 it has two sets of solutions and I'm solving by both
Ghella [55]
These are all the possible answers i know from experience.

2x + 2y = 7
x^2 - 4y^2 = 8

2x = -2y + 7
x = -y + 7/2

(-y + 7/2)^2 - 4y^2 = 8

y^2 - 7y + 49/4 - 4y^2 = 8

0 = 3y^2 + 7y + 8 - 49/4

0 = 12y^2 + 28y + 32 - 49

0 = 12y^2 + 28y - 17

y = (-b ± √(b^2 - 4ac))/(2a)

y = (-28 ± √(28^2 - 4(12)(-17)))/(2(12))

Dividing by 2 is like dividing by √(4):

y = (-14 ± √(7*28 + (12)(17)))/(2*6)

y = (-7 ± √(7*7 + (3)(17)))/6

y = (-7 ± 10)/6 = 1/2 or -17/6

x = -y + 7/2 = 3 or 19/3

<span>Solutions are (3,1/2) and (19/3,-17/6)</span>
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3 years ago
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