The right answer is Option D: S>$300,000.
Step-by-step explanation:
Given,
Base salary of Alan = $18000
Commission = 9% =
Amount Alan wants to earn = $45000 or more
Let,
s be the worth he needs to sell.
Therefore,
Base salary + Commission*Total sales>Amount Alan wants to earn
18000+0.09s>45000
Dividing both sides by 0.09
Alan must sold items that worth at least $300,000.
The right answer is Option D: S>$300,000.
Keywords: inequality, division
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The answer is A. When you put it into slope-intercept form it is the only equation that turns out parallel, and when you plug in the x value 5 you get the y value of 1, which means it passes through the point (5,1)
The set X is convex.
In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.
b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.
c)set X is not a closed set as the compliment of the set is not an open set.
d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.
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The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).
<h3>How to factor the polynomial?</h3>
From the graph, the zeros of the polynomial of given graph are:
x = -3
x = 1
x = 4
Equate the above equations to zero
x + 3 = 0
x - 1 = 0
x - 4 = 0
Multiply the equations
(x + 3)(x - 1 )(x - 4 ) = 0
Express as a function gives;
y = (x + 3)(x - 1 )(x - 4 )
Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .
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