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Goshia [24]
3 years ago
15

Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions were to use 34.5 inche

s of the rope to tie a tarp on top of the tent. Then, the remaining rope should be cut into 8 1/4 inch sections to tie the tent to stakes in the ground. Mario will use al the rope as instructed. Write and solve an equation to determine the number of 8 1/4 inch sections of rope Mario can cut from the rope.
Mathematics
1 answer:
OverLord2011 [107]3 years ago
3 0

Answer:

Mario could solve using the following equation:  x=(84-34.5)/8.25 which equals 6.  

Step-by-step explanation:

If the tent comes with 7 feet of rope, we need to first convert that measurement to inches.  Since there are 12 inches in one foot, then 7feet of rope= 7 x 12 = 84 inches.  Of the 84 inches of rope, 34.5 inches of that will be used to tie a tarp on the top of the tent.  With the remaining rope, Mario will need to cut sections that measure 8 1/4 or 8.25 inches.  If 'x' represents the number of sections he can cut, he can set up the equation such that: x = (84-34.5)/8.25, or 6.

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Answers are in bold

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<u></u>

<u>Part 1A</u>

Use the Zero Product Property to find the x-intercepts:

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<u>Part 1B</u>

In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k

For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:

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