Which relation is a function? A. X -14,-9-1,4,6 Y 6,2,-3,2,4 B. X -2,1,9,9,15 Y -3,-3,0,-8,12 C. X -4,6,6,7,9 Y -1,-3,-1,15,1 D.
Butoxors [25]
❅☃ To find a function you need to look at the x values, if one of the same x value is repeated more then once, it is considered a non function.
❅☃ Option A:
-14
-9
-1
4
6
As you can see no repeated values.
Therefore A is already our function but lets look at the others just in case.
❅☃ Option B
-2
1
9
9
15
9 was repeated therefore it is a non function.
❅☃ Option C
-4
6
6
7
9
6 was again repeated. Non function.
❅☃ And lastly, D.
-16
-11
10
10
16
10 was reapted. Non function.
❅☃ Your answer is A
The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: <span><span>d2</span>=(x−0<span>)^2</span>+(y−0<span>)^2
</span> =<span>x^2</span>+<span>y^2
</span></span>
To minimize this function d^2 subject to the constraint, <span>2x+y−10=0
</span>If we substitute, the y-values the distance function can take will be related to the x-values by the line:<span>y=10−2x
</span>You can substitute this in for y in the distance function and take the derivative:
<span>d=sqrt [<span><span><span>x2</span>+(10−2x<span>)^2]
</span></span></span></span>
d′=1/2 (5x2−40x+100)^(−1/2) (10x−40)<span>
</span>Setting the derivative to zero to find optimal x,
<span><span>d′</span>=0→10x−40=0→x=4
</span>
This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).
Then y = 10 - 2(4) = 2.
So the point, P, is (4,2).
What do you need for this one???
The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.
Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)
We have to find second factor of given equation
First we will be rational root theorem to given expression so will get following expression:
So one factor is (x-1) and now simplifying 
we get 2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)
Hence the expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
Learn more about Polynomial here:
brainly.com/question/4142886
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Answer:
The cost of the sweater before the markup is $24.50.
Step-by-step explanation:
The percent markup of an item is calculated by subtracting the original cost of the item from the sale price and then dividing by the original cost. In this case, we are trying to find the original cost, so we know that the percent markup is 40%, or 0.4. Since the sale price of the item would be 100% of the original cost multiplied by an additional 40% markup, we can take the sale price of the item divided by 140%, or 1.4: 34.30/1.4 = 24.50.
