Answer:
The equation for the variation is:
Step-by-step explanation:
The relationship is given by the quotient between the two variables: (1) distance of the storm, and (2) the number of seconds to hear the thunder. That is:
<h3>
Answer: C. p(x) = -5x-x^2</h3>
This is the same as p(x) = -x^2-5x
The degree is the largest exponent to determine what kind of polynomial we're dealing with.
For choice C, the degree is 2, so we have a quadratic here.
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Extra info:
- Choice A is cubic because the largest exponent is 3 (degree = 3)
- Choice B is a quartic of degree 4
- Choice D is the same story as choice B
It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram. A rhombus is defined as a parallelogram with four equal sides.
The answer is investment B.
Solution:
For investment A - the expected value of the investment is
($20,000) * 25% = ($5,000)
$80,000 * 25% = <u>$20,000</u>
$15,000
For investment B - the expected value of the investment is
($50,000) * 30% = ($15,000)
$180,000 * 20% = <u>$36,000
</u> $21,000
<u>
</u>So you can gain more by $6,000 if you choose investment B.<u>
</u>
Answer:
![\log_{2} [\frac{x^{3}(x + 4)}{3}]](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%28x%20%2B%204%29%7D%7B3%7D%5D)
Step-by-step explanation:
We have to write the following logarithmic expression as a single logarithm.
The given expression is
![3\log_{2} x - [\log_{2} 3 - \log_{2}(x + 4)]](https://tex.z-dn.net/?f=3%5Clog_%7B2%7D%20x%20-%20%5B%5Clog_%7B2%7D%203%20-%20%5Clog_%7B2%7D%28x%20%2B%204%29%5D)
= 
{Since, 
, from the properties of logarithmic function }
= 
{Since, 
, which also a logarithmic property}
= ![\log_{2} [\frac{x^{3}}{\frac{3}{x + 4}}]](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%7D%7B%5Cfrac%7B3%7D%7Bx%20%2B%204%7D%7D%5D)
= (Answer)
