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swat32
3 years ago
7

Can we combine different functions (quadratic, linear, exponential, cube root) into one piecewise function? If the answer is yes

, then why?
Plzzzz help
Mathematics
1 answer:
yanalaym [24]3 years ago
8 0

Answer: yes, because it is useful to describe changes in the behavior of the thing we are describing.

Step-by-step explanation:

A piecewise function f(x) is a function that is "different" depending on the range of the values of x, this is for example:

y = x -----> if x < 0

y = x^2 ----- if x ≥ 0

This is used to represent changes in the behavior of the thing we are describing.

For example, suppose an object that is moving with constant velocity, the velocity graph will be a constant line.

Now, the object suddenly, at a time t = t0 accelerates to a constant acceleration A, now the graph of the velocity is a linear graph with slope equal to A.

So this situation can be represent this with a piecewise function:

V(t) = c -----> if t < t0

V(t) = c + A*t -----> if t ≥ t0

So the answer is yes, we can.

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8 Darpan runs a distance of 12 km and then cycles a distance of 26 km. His running speed is x km/h and his cycling speed is 10 k
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The equation in terms of x, for the total time he takes in hours would be 2.48 = 12/x  + 26/10x

<h3>What is speed?</h3>

Speed can be calculated as the ratio of distance traveled to the time taken

Darpan runs a distance of 12 km and then cycles a distance of 26 km.

Total distance = 12 + 26 = 38km

The running speed is x km/h

A = x

The cycling speed is 10 km/h faster than his running speed

B = 10x

He takes a total time of 2 hours and 48 minutes.

So, the total time he takes

Time = Distance x speed

2.48 = 12/x  + 26/10x

10x(2.48) = 120 + 26

24.8x = 146

x = 5.8

Learn more about speed here;

brainly.com/question/7359669

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2 years ago
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3 years ago
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Dr. Ashby is studying the heart rate of adult men. Preliminary data suggests that the standard deviation of heart rates for adul
jok3333 [9.3K]

Answer:

n=42 adult men

Step-by-step explanation:

-The minimum sample size to get a desired margin of error, E is calculated using the formula:

n\geq( \frac{z\sigma}{E})^2

-Given that \sigma=7.5, \ \ E=3\ , \ z_{0.005}=2.58, we can substitute to solve for n in the above formula:

n\geq (\frac{z\sigma}{E})^2\\\\\therefore n=(\frac{z_{\alpha/2}\sigma}{E})^2\\\\=(\frac{2.58\times7.5}{3})^2\\\\=41.6025\approx42

Hence, the desired minimum sample size, n is 42 adult men.

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One ran 1240 yards the other ran 310 yards.

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1550/5=310

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