Mathematics, 25.06.2019 09:00 vanswol42

Solve the equation that models the volume of the shipping box, 8(n + 2)(n + 4) = 1,144. if you get two solutions, are they both reasonable?

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Answer from: starfox5454

$n=9\\n=-15$

n=9 is reasonable.

n=-15 is not reasonable, because the volume of the shipping box can't be negative.

Step-by-step explanation:

1. Apply the Distributive property to the given equation. Then, you have:

$8n^{2}+32n+16n+64=1,144\\8n^{2}+48n-1080=0$

2. You obtain a quadratic equation, then you can use the quadratic formula to solve it:

$n=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}\\a=8\\b=48\\c=-1080$

3. Then, you obtain:

$n=\frac{-48+/-\sqrt{(48)^{2}-4(8)(-1080)}}{2(8)}\\n=9\\n=-15$

4. The volume of the shipping box can't be negative. Therefore, n=9 is reasonable and n=-15 is not reasonable.

Answer from: Usman458

$n=-15\text{ or }n=9$

Only n=9 is reasonable.

Step-by-step explanation:

We have been given that the volume of the shipping box is: 8(n + 2)(n + 4) = 1,144 .

First of all we will distribute 8 to (n+2).

(8n+16)(n+4) = 1,144

Using FOIL we will get,

8n^2+32n+16n+64= 1,144

8n^2+48n+64= 1,144

8n^2+48n+64-1,144=0

8n^2+48n-1080=0

Upon dividing our equation by 8 we will get,

n^2+6n-135=0

Now we will factor out our given equation by splitting the middle term.

n^2+15n-9n-135=0

n(n+15)-9(n+15)=0

(n+15)(n-9)=0

$(n+15)=0\text{ or }(n-9)=0$

$n=-15\text{ or }n=9$

Since the volume of a box can not be negative, therefore, only one solution is reasonable, that is n=9.

Answer from: Quest

it should be a and d. lmk if i'm wrong xd

These dot plots show the ages (in years) for a sample of sea turtles and a sample of sharks.

Answer from: Quest

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

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Solve the equation that models the volume of the shipping box, 8(n + 2)(n + 4) = 1,144. if you get t...