How to do this?

1 answer:

7 0

This equation uses two properties of logarithms:

$\ln(g^x) = x \ln(g)$

$\ln(a) + \ln(b) = \ln(ab)$

So you could take the ln from left and right hand side in the equation, and get:

(2-x)ln 3 = x ln 5

then

2 ln 3 - x ln 3 - x ln 5 = 0 =>

x(ln 3 + ln 5) = 2 ln 3

so x = 2 ln 3 / (ln3 + ln5)

Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15

so x= ln9 / ln15

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What is the intercept form of the equation y=6x^2+12x-144

Stells [14]

Answer:

y = 6(x + 6)(x - 4).

Step-by-step explanation:

y = 6x^2 + 12x - 144

y = 6(x^2 + 2x - 24) Factoring the trinomial in the parentheses ,we get:

y = 6(x + 6)(x - 4)

4 0

2 years ago

7. (05.02 MC)

Diano4ka-milaya [45]

Considering the Central Limit Theorem, we have that:

a) The probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.

b) The probability can be calculated, as the sample size is greater than 30.

<h3>What does the Central Limit Theorem state?</h3>

It states that the sampling distribution of sample means of size n is approximately normal has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ , as long as the underlying distribution is normal or the sample size is greater than 30.