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wlad13 [49]
3 years ago
15

Does the table represent a proportional or a nonproportional linear relationship?​

Mathematics
1 answer:
fredd [130]3 years ago
3 0

Answer:

nonproportional

Step-by-step explanation:

proportional would mean that the y intercept is 0 but it's 3

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A rectangle has a width of 12 ft and a length of 4 ft.
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A candy box is made from a piece of cardboard that measures 23 by 13 inches. Squares of equal size will be cut out of each corne
wolverine [178]

Answer:

2.67 inches.

Step-by-step explanation:

Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).

The formula for a rectangular box = L × B × W

= (23 -2y)(13-2y) (y)

= (299 - 46y - 26y + 4y²)y

= 299y - 72y² + 4y³

Now for the maximum volume:

dV/dy = 0

This implies that:

299y - 72y² + 4y³ = 299 - 144y + 12y² = 0

By using the quadratic formula; we have :

= \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}

where;

a = 12; b = -144 and c = 299

= \dfrac{-(-144) \pm \sqrt{(-144)^2 -4(12)(299)}}{2(12)}

= \dfrac{144 \pm \sqrt{20736 -14352}}{24}

= \dfrac{144 \pm \sqrt{6384}}{24}

= \dfrac{144 \pm79.90}{24}

= \dfrac{144 + 79.90}{24} \ \  OR  \ \   \dfrac{144 - 79.90}{24}

= 9.33 \ \  OR  \ \ 2.67

Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33

Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.

3 0
3 years ago
How do you do this? I need help ASAP!
mario62 [17]
A) get rid of the fraction by finding the common denominator, 4. multiplying by 4 on both sides, I usually have it turned into a fraction, 4/1. The 2x=3/4, is now 8x=12/4 will be set as 8x=3. Divide 8, x=3/8.
B) The common denominator is 15. Multiply on both sides, -2/5 times 15/1 is -30/5 which becomes -6. And m/3 times 15/1 is 15m/3, 5m. divide the 5 and your answer is m=-5/6
3 0
3 years ago
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