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3 years ago

Factor the following n^2 + 6n

Mathematics

2 answers:

Veronika [31]3 years ago

4 0

Answer:

n(n + 6)

Step-by-step explanation:

n² + 6n = n(n + 6)

masha68 [24]3 years ago

3 0

Answer:8n?

Step-by-step explanation:

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Janet has 23 cups of potting soil for her new plants. she evenly distributes the soil into 5 pots. which location on a number li

larisa [96]

We have to divide 23 by 5.
23/5=4.6
B. Between 4 and 5, is correct.

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2 years ago

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Why is -16 the leading coefficient in quadratic applications

Lady bird [3.3K]

Answer:

Step-by-step explanation:e equation has a leading coefficient of 1 or if the equation is a difference of squares. The zero-factor property is then used to find solutions. ... Another method for solving quadratics is the square root property. The variable is squared.

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2 years ago

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A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square

kondaur [170]

This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

$V = xxy = x^{2}y$

We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:

Surface area of the square base = $x^{2}$

Surface area of the rectangular sides = $4xy$

Therefore, the total area of the cube is:

$A = 48 ft^{2} = x^{2} + 4xy$

Isolating the variable y in terms of x:

$y = \frac{48- x^{2} }{4x}$

Substituting this value in V:

$V = x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3}$

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

$\frac{dv}{dx} = 48-3x^{2} =0$

Solving for x:

$x = \sqrt{\frac{48}{3}} = \sqrt{16} = 4$

Solving for y:

$y = \frac{48- 4^{2} }{(4)(4)} = 2$

Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ft
Width = 4 ft
Height = 2 ft

And its volume is:

$V = (4^{2} )(2) = 32 ft^{3}$

8 0

3 years ago

Can please answer these 3 questions

kupik [55]

So it would be 32 lol if

6 0

2 years ago

Please answer this question only if you know the answer! 30 points and brainliest!

Allisa [31]

Answer:

(4, 3)

Step-by-step explanation:

If this point is reflected about the x-axis, the x-coordinate does not change. The original y-coordiate, -3, becomes +3.

A': (4, 3)

5 0

2 years ago