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Sliva [168]
3 years ago
7

A trail from City A to City B is 588 miles long. Manfred hikes 2/7 of the trail over a few weeks. How many miles does he ​hike?

Mathematics
1 answer:
Alenkinab [10]3 years ago
7 0
If Manfred hiked 2/7 of a 588 mile trail, then to find how many miles he has hiked all we need to do is multiply the total miles (588) by what fraction of the miles he has traveled (2/7):
588 * 2/7 = 1176 / 7 = 168

Therefore, Manfred hiked 168 miles.
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If cheese is $4.40 per kilogram, what should i pay for 200 grams
Contact [7]
1 kg is 1,000 grams.


200 grams are 1/5 of 1000 grams, that is 1/5 of 1 kg.

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3 years ago
Read 2 more answers
Factorize of 2a³-a²+a-2​
IrinaK [193]
<h3>Answer:  (a - 1)(2a² + a + 2)</h3>

=========================================================

Explanation:

Use the rational root theorem to determine this list of possible rational roots: 1, -1, 1/2, -1/2

Plug each possible root one at a time into the original expression given. If the simplified result is 0, then that possible root is an actual root.

If we tried say a = -1, then,

2a³-a²+a-2​ = 2(-1)³-(-1)²+(-1)-2​ = -6

The result is not zero, so a = -1 is not an actual root.

But if we tried say a = 1, then,

2a³-a²+a-2​ = 2(1)³-1²+1-2​ = 0

We get 0 so a = 1 is an actual root. I'll let you try the other values, but you should find that a = 1 is the only rational root.

Since a = 1 is a root, this makes (a-1) to be a factor.

From here, use either synthetic or polynomial long division to determine the other factor. Refer to the diagram below for each method.

Regardless of which method you pick, the quotient is 2a² + a + 2 which is the other factor needed. The remainder of 0 tells us we have (a-1) as a factor. For more information, check out the remainder theorem.

5 0
1 year ago
Write y=-3x^2+12x-21 in vertex form
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<span>y = 3(x - 2)^2 - 8</span>
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