Make your own of the following v

Mathematics

1 answer:

damaskus [11]3 years ago

5 0

I hope this helps ;)

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Find A and C for both questions

Andre45 [30]

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3 years ago

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Fiesta28 [93]

For this case we have the following function:
$f (x) = 0.01 * (2) ^ x
$
By definition, the average rate of change is given by:
$AVR = \frac{f(x2) - f(x1)}{x2 - x1}$
We evaluate the function for the given values:
For x = 7:
$f (7) = 0.01 * (2) ^ 7

f (7) = 1.28$
For x = 14:
$f (14) = 0.01 * (2) ^ {14} f (14) = 163.84$
Then, replacing values we have:
$AVR = \frac{163.84 - 1.28}{14 - 7}$
$AVR = 23.22$
Answer:
the average rate of change from x = 7 to x = 14 is:
a. 23.22

7 0

3 years ago

A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures

Alekssandra [29.7K]

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

$\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9$

$\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9 \\ \because \: AB = x \\ \huge \red{ \therefore AB = 9} \\ \\ \because \:BC = x + 6 \\ \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}$