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Yuki888 [10]
1 year ago
11

What is the distance between the y-intercept of the function f (x) = 5(2) and they-intercept of the linear function, g, represen

ted by the table below?

Mathematics
1 answer:
zlopas [31]1 year ago
7 0

We need to calculate first the function g(x)

First we calculate the slope

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-5+11}{-6+9}=2g(x)=2(x+9)-11g(x)=2x+7

the y-intercept of the function g(x) is 7

the y-intercept of the function f(x) is 10

the distance between the y-intercepts of both functions is 3 units

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4 years ago
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.
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Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.0 minutes.

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=\dfrac{1}{60-50}=\dfrac{1}{10}

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\int^{51.5}_{51.25}f(x)\ d(x)\\\\ \int^{51.5}_{51.25}\dfrac{1}{10}\ dx\\\\=\dfrac{1}{10} [x]^{51.5}_{51.25}\\\\=\dfrac{1}{10}(51.5-51.25)=0.0250

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