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Alborosie
3 years ago
7

Which expression simplifies 6(2 + x + x + y) using only 3 terms

Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Answer: 6(2+2x+1y)

Step-by-step explanation:

i think that is the anwser

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The product of two irrational numbers is<br> ______ rational
Sonbull [250]

Answer:

The product of two irrational numbers will not be irrational.

Step-by-step explanation:

3 0
2 years ago
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Find the value of k if x-1 is the factor of x ^ 2 + x + k​
Ne4ueva [31]

Answer:

k = -2

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:

\displaystyle P(x) = x^2 + x + k

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 />\displaystyle \begin{aligned} P(1) = 0 & = (1)^2 + (1) + k \\ \\ 0 & = 2 + k \\ \\ k & = -2\end{aligned}

In conclusion, the value of <em>k</em> is -2.

4 0
2 years ago
Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
Leni [432]

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 = -\frac{3}{4}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(-\frac{3}{4}.x + 3)

A = -\frac{3}{4}.x^{2}  + 3x

To maximize, we have to differentiate the equation:

\frac{dA}{dx} = \frac{d}{dx}(-\frac{3}{4}.x^{2}  + 3x)

\frac{dA}{dx} = -3x + 3

The critical point is:

\frac{dA}{dx} = 0

-3x + 3 = 0

x = 1

Substituing:

y = -\frac{3}{4}x + 3

y = -\frac{3}{4}.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

6 0
3 years ago
Two sides of a triangle have lengths 5 and 12. What must be true about the length of the third side?
ehidna [41]

Answer:

LESS the seventeen

Step-by-step explanation:


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3 years ago
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HELP!!!!<br><br> If the probability of a getting 4/25 out of 200 people, what about 500 people?
mash [69]

Answer:

123

Step-by-step explanation:

5 0
2 years ago
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