One factor will be zero, hence y will be zero, when x=-3.
The other factor will be zero, hence y will be zero, when x=-5.
The zeros of the function are x ∈ {-5, -3}.
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This solution makes use of the "zero product rule," which states a product is zero if and only if one or more factors is zero.
The root -2 leads to the factor (x+2). The other 2 factors are (x-5) and (x-6).
Then the poly is f(x) = (x+2)(x-5)(x-6).
Given:
The given statement are:
a. Eight less than the product of seven and x.
b. The sum of six and the product of three and d.
To find:
The expression for the given statements.
Solution:
a.
Product of 7 and x is 7×x = 7x.
Eight less than the product of seven and x is 7x - 8.
Therefore, the required expression for the statement "Eight less than the product of seven and x" is 7x-8.
b.
Product of 3 and d is 3×d = 3d.
The sum of six and the product of three and d is 6+3d.
Therefore, the required expression for the statement "The sum of six and the product of three and d" is 6+3d.
A value that "lies outside" (is much smaller or larger than)
Answer: The required expected value is $3.46.
Step-by-step explanation:
Since we have given that
Number of value of 4 or less are
2,3,4
So, there are 12 in numbers.
So, probability would be

Since Aces are considered as the highest card in the deck.
So, remaining probability would be

Amount paid or value of 4 or less = $165
Amount not paid for other case = $45
So, the expected value would be

Hence, the required expected value is $3.46.