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3 years ago

Given f(x) = 3x - 2, find f(-6).

Mathematics

1 answer:

aliina [53]3 years ago

8 0

X=-6 so you have to plug it into x

3(-6)-2

You should get -20

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Step-by-step explanation:

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What is 78 ÷ 5 and the remainder

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Answer:

The answer is: (15) and the remainder is (6)

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Step-by-step explanation:

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2 years ago

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A surveyor wishes to lay out a square region with each side having length L. However, because of measurement error, he instead l

RoseWind [281]

Step-by-step explanation:

Area, A = Length,x × Breadth,y

A=xy

When x and y are independent, E(xy) = E(x)E(y)

As x and y have the same distribution, U[L-A,L+A], they have the same mean.

We could argue by symmetry that E(x) = L and E(y) + L, also.

We can also reason this from the fact that, if X ~ U[L-A, L+A], f(x) = 1/(2A) from L-A to L+A

Therefore

$E(x)= \int\limits {f(x)} \, dx \\\\=\int\limits^{(L+A)}_{(L-A)} {\frac{1}{2A}x } \, dx$

$=\int\limits^{(L+A)}_{(L-A)} {\frac{1}{2A}x } \, dx \\\\=[\frac{1}{4A}x^2 ]\limits^{(L+A)}_{(L-A)}$

=1/(4A)(L+A)2 - 1/(4A)(L-A)2

= 1/(4A)(L2 + 2AL + A2) - 1/(4A)(L2 - 2AL + A2)

=1/(4A)(2AL+2AL)

= 1/(4A)(4AL)

= L

Thus, E(xy) = E(x)E(y) = L×L = L²

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3 years ago