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3 years ago

Is the following expression true or false? Show your work.

Mathematics

1 answer:

Paul [167]3 years ago

3 0

Answer: True

Solution:

Rearrange the equation to the LHS:

[x^2 + 8x + 16] · [x^2 – 8x + 16] - (x^2 – 16)^2 = 0

Factoring x^2+8x+16

x^2 - 4x - 4x - 16

= (x-4) • (x-4)

= = (x+4)2

So now we have an equation

(x + 4)^2 • (x - 4)^2 - (x^2 - 16)^2 = 0

Step 2: Evaluate the following:

(x+4)2 = x^2+8x+16

(x-4)2 = x^2-8x+16

(x^2-16)2 = x^4-32x^2+256

(x^2+8x+16) (x^2-8x+16 ) - (x^4-32x^2+256 )

0 = 0

Hence True

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Sholpan [36]

Answer:

240 = 2 x 2 x 2 x 2 x 3 x 5 or 2^4x3x5

Step-by-step explanation:

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6 0

4 years ago

Read 2 more answers

Solving equations <br><br> 3(2x-1)=6

Lubov Fominskaja [6]

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

distribute 3 to the 2x and -1 by multiplying

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3 years ago

A rare form of malignant tumor occurs in 11 children in a million, so its probability is 0.000011. Four cases of this tumor occ

Shkiper50 [21]

Answer:

a) The mean number of cases is 0.14608 cases.

b) The probability that the number of cases is exactly 0 or 1 is 0.990.

c) The probability of more than one case is 0.010

d) No, because the probability of more than one case is very small

Step-by-step explanation:

We can model this problem with a Poisson distribution, with parameter:

$\lambda=r*t=0.000011*13,280=0.14608$

a) The mean amount of cases is equal to the parameter λ=0.14608.

b) The probability of having 0 or 1 cases is:

$P(k=0)=\frac{\lambda^0 e^{-\lambda}}{0!}=\frac{1*0.864}{1} =0.864\\\\ P(k=1)=\frac{\lambda^1 e^{-\lambda}}{0!}=\frac{0.14608*0.864}{1} =0.126\\\\P(k\leq1)=0.864+0.126=0.990$

c) The probability of more than one case is:

$P(k>1)=1-P(k\leq 1)=1-0.990=0.010$

d) The cluster of 4 cases can not be due to pure chance, as it is a very high proportion of cases according to the average rate. Just having more than one case has a probability of 1%.

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3 years ago

What is 10m-2?

sineoko [7]

Answer:

tytyty

Step-by-step explanation:

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3 years ago

Does the taxable capital gains added to the banker’s income move them to a higher tax rate?

Nina [5.8K]

The taxable capital gains added to the banker’s income move them to a higher tax rate. the statement is true.

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Tax rates will be higher in the future with the increment of time, but the benefits of the tax-deferred savings plan will overcome higher tax rates over time.

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2 years ago