Positive value of x for the given function 2h(x) = log₂(x² +2) is equal to √62.
As given in the question,
Function h is given by : 2h(x) = log₂(x² +2)
Using the definition of logarithm function
aˣ = y
⇒x= logₐy
For h(x) =3, Apply definition of logarithm function we get,
2× 3 = log₂(x² +2)
⇒6= log₂(x² +2)
⇒2⁶ = x² +2
⇒x² = 64-2
⇒x²= 62
⇒x = √62
Therefore, positive value of x for the given function 2h(x) = log₂(x² +2) is equal to √62.
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Let
x: represent the number of males on the ride
y: represent the number of females on the ride
We have the following system of equations:
x+y=36
x/y=5/4
rewritting:
y=(4/5)x
answer:
a system that you can use to find the number of males and the number of females on the ride is:
y=(4/5)x
x+y=36
Answer:
10x^2-11x-6
Step-by-step explanation:
To expand, we use the FOIL method. You do this by multiplying each number inside the parenthesis by the other numbers in the other set of the parenthesis. For example, on this problem, you would multiply 5x by 2x, and then 5x by -3.
Step by step, you would:
5x * 2x = 10x^2
5x * -3 = -15x
2 * 2x = 4x
2 * -3 = -6
In an equation, it would expand to 10x^2-15x+4x-6
To simplify, you add like terms (constants and those with the same variable). In this case, you would add together all the terms ending in x.
-15x+4x=-11x
Now, you have added like terms together, so your simplified answer is 10x^2-11x-6.
Choices for the measure of center that is best are: C. Rome data center is best described by the mean while that of New York data is best described by the median.
<h3>What are the Measures of Center?</h3>
The measures of center include the mean and the median. Mean is best for a symmetrical data distribution while median is good for a skewed data distribution with an outlier.
The data for New work has an outlier, while that of Rome does not. Therefore, the best choices for the measure of center is: C. Rome data center is best described by the mean while that of New York data is best described by the median.
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