Answer:
The correct option is C
Step-by-step explanation:
The simplified function of ![f(x) = \frac 14(\sqrt[3]{108^x})](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%2014%28%5Csqrt%5B3%5D%7B108%5Ex%7D%29)
is ![f(x) = \frac {3^x}4(\sqrt[3]{4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%20%7B3%5Ex%7D4%28%5Csqrt%5B3%5D%7B4%7D%29%5Ex)
<h3>How to simplify the base function?</h3>
The function is given as:
Expand 108
![f(x) = \frac 14(\sqrt[3]{27 * 4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%2014%28%5Csqrt%5B3%5D%7B27%20%2A%204%7D%29%5Ex)
Take the cube root of 27
![f(x) = \frac 14 * 3^x(\sqrt[3]{4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%2014%20%2A%203%5Ex%28%5Csqrt%5B3%5D%7B4%7D%29%5Ex)
Evaluate the product
Hence, the simplified function of is
Read more about functions at:
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Answer:
18 dollars
Step-by-step explanation:
multiply 30 by .4 to get 12 dollars. 30-12=18
Hope this helps :)
Answer:
p(x) = (x - 5)(x + 5) + 20
Step-by-step explanation:
(x² - 5) ÷ (x - 5) ⇒ we put zero in place of x in the dividend
(x² + 0 - 5) ÷ (x - 5) = x + (5x - 5) ÷ (x - 5)
= (x + 5) + 20 ÷ (x - 5)
The quotient = (x + 5) ⇒ q(x)
The remainder = 20 ⇒ r(x)
The divisor = (x - 5) ⇒ d(x)
∴ p(x) = (x - 5)(x + 5) + 20
Based on the fact that the chance of having a boy or a girl is 50%, the probability of the Smiths having two girls is 25%.
<h3>What is the probability of having two girls?</h3>
When you are faced with two independent events happening one after the other, the way to find their probability is:
= Probability of first event x Probability of second event
The probability of the Smiths getting two girls is therefore:
= 50% x 50%
= 25%
Find out more on independent probability at brainly.com/question/1374659
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