Answer:
A. f(x) = −2|x| + 1
Step-by-step explanation:
The larger of the two roots of the equation
would be 28.59.
<h3>How to find the roots of a quadratic equation?</h3>
Suppose that the given quadratic equation is

Then its roots are given as:

The given quadratic equation is

now, the roots of the equation are

The two roots are 0.27 and 28.59.
Thus, the larger of the two roots of the equation
would be 28.59.
Learn more about finding the solutions of a quadratic equation here:
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We are given a volume of 160 fluid ounces of chemical which is added to a container that holds 120,000 gallons of water. Assuming that the chemical has the same density as water, we just need to convert 120,000 gallons to ounces.
A conversion factor is taken from literature, 1 gallon is equivalent to 128 fluid ounces. So 160 fluid ounces is only 1.25 gallons, thus occupying minimal space in the container. The employee could add more of the chemical in the container. He can actually add 15360000 fluid ounces in total.
Answer:
$190.50
Step-by-step explanation:
Expected value is the sum of each possible income multiplied by its probability.
There's a 5% chance that the vendor makes $200 and loses $190 (net gain of $10).
There's a 95% chance that the vendor makes $200 and loses $0 (net gain of $200).
So the expected value is:
Exp(RS) = $10 × 0.05 + $200 × 0.95
Exp(RS) = $190.50
Sequence will look like this:
Term 1: 20 --------- 20 + 5(0)
Term 2: 25 --------- 20 + 5(1)
Term 3: 30 --------- 20 + 5(2)
Term 4: 35 --------- 25 + 5(3)
ETC.
It cab noted that the numbers in the bracket (that is, 0, 1, 2, 3, 3, etc) = n-1
Then, the explicit formula will be;
an = 20 + 5(n-1).
The correct answer is D.