Answer:
The product of two irrational numbers will not be irrational.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Recall from the Factor Theorem that if (<em>x</em> - <em>a</em>) is a factor of a polynomial <em>P</em>, then P(<em>a</em>) must equal 0.
Our polynomial is:

And we know that (<em>x</em> - 1) is a factor.
Therefore, by the Factor Theorem, P(1) must equal 0. Hence solve for <em>k: </em>
<em />
In conclusion, the value of <em>k</em> is -2.
The question is incomplete. Here is the complete question.
Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -
x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.
Answer: L = 1; W = 9/4; A = 2.25;
Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:
A = x.y
A = x(-
)
A = -
To maximize, we have to differentiate the equation:
=
(-
)
= -3x + 3
The critical point is:
= 0
-3x + 3 = 0
x = 1
Substituing:
y = -
x + 3
y = -
.1 + 3
y = 9/4
So, the measurements are x = L = 1 and y = W = 9/4
The maximum area is:
A = 1 . 9/4
A = 9/4
A = 2.25
Answer:
LESS the seventeen
Step-by-step explanation:
Answer:
123
Step-by-step explanation: