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Leokris [45]
3 years ago
13

Find the average rate of change of f(x) = -x² + 5x+2 from x=3 to x=6.

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The points at the ends of the interval are ...

  (3, f(3)) = (3, 8)

  (6, f(6)) = (6, -4)

The slope is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -8)/(6 -3) = -12/3 = -4

The average rate of change is -4.

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Answer:

(4 x 3) / 2

Step-by-step explanation:

3 0
3 years ago
564 in scientific notation
MAXImum [283]

Answer:  5.64 *10^2

Step-by-step explanation:

3 0
3 years ago
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Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffe
evablogger [386]

Answer:

Algebraic expression representing number of coffee B = 100-x

Step-by-step explanation:

An algebraic expression is an expression that contains unknowns denoted with alphabets or symbols and natural numbers.

Coffee blend is 100 pounds and x represent number of pounds of coffee A

Hence coffee B = 100-x

Algebraic expression representing number of coffee B = 100-x

8 0
2 years ago
When Hailey commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 21 minutes and a
miskamm [114]

Answer: 135 days

Step-by-step explanation:

Since the amount of time it takes her to arrive is normally distributed, then according to the central limit theorem,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 21 minutes

σ = 3.5 minutes

the probability that her commute would be between 19 and 26 minutes is expressed as

P(19 ≤ x ≤ 26)

For (19 ≤ x),

z = (19 - 21)/3.5 = - 0.57

Looking at the normal distribution table, the probability corresponding to the z score is 0.28

For (x ≤ 26),

z = (26 - 21)/3.5 = 1.43

Looking at the normal distribution table, the probability corresponding to the z score is 0.92

Therefore,

P(19 ≤ x ≤ 26) = 0.92 - 28 = 0.64

The number of times that her commute would be between 19 and 26 minutes is

0.64 × 211 = 135 days

8 0
3 years ago
if 20 men can finish a piece of work in 30 days how many additional numbers of mains will be employed to finish the work in 24 d
Cerrena [4.2K]

Answer:

Step-by-step explanation:

no of days                                                   no of men

30                                                                         20

24                                                                             20

30/24=x/20

24 x=30*20

24x=600

x=600/24

x=25

therefore  5 more men are needed to complete the work in 24 days                

8 0
3 years ago
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