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3 years ago

Solve the equation

Mathematics

1 answer:

erastova [34]3 years ago

6 0

Look at the picture.

$|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for&a < 0\end{array}\right\\\\|9-8x|=\left\{\begin{array}{ccc}9-8x&for&x\in\left(-\infty,\ \dfrac{9}{8}\right]\\-(9-8x)&for&x\in\left(\dfrac{9}{8},\ \infty\right)\end{array}\right$

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Step-by-step explanation:

When f(x) = f(x - 4), 3x² = 3(x - 4)².

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2 years ago

I have a stamp collection. 70% of my stamps are Canadian and 30% are international. I have 500 more Canadian stamps than interna

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Answer: N= 375, C= 875

Step-by-step explanation: Let Canadian stamps=C

Let International stamps=N

C=875 and N=375

C - 500=N, .70(N + C) =C

Solve the following system:

{C-500 = N | (equation 1)

0.7 (C+N) = C | (equation 2)

Express the system in standard form:

{-N+C = 500 | (equation 1)

0.7 N-0.3 C = 0 | (equation 2)

Add 0.7 × (equation 1) to equation 2:

{-N+C = 500 | (equation 1)

0 N+0.4 C = 350 | (equation 2)

Divide equation 2 by 0.4:

{-N+C = 500 | (equation 1)

0. N+C = 875. | (equation 2)

Subtract equation 2 from equation 1:

{-N+0 C = -375. | (equation 1)

0 N+C = 875. | (equation 2)

Multiply equation 1 by -1:

{N+0 C = 375. | (equation 1)

0 N+C = 875. | (equation 2)

Collect results:

Answer: | N = 375 and C=875

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Binomial probability distribution

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$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$