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HACTEHA [7]
3 years ago
11

briefly explain the process by which you would determine whether or not x-6 a factor of 3x^3-16x^2-72

Mathematics
2 answers:
MissTica3 years ago
5 0
Using the remainder theorem, substitute 6 in for any x in the equation and it will equal the remainder if it has been divided by (x-6). If the remainder is zero, then it would have divided evenly...making it a factor. If it equals anything but zero then it would not be a factor
storchak [24]3 years ago
3 0
X-6=0,x=6
put x=6 in the given eq. 3 x^{3} -16 x^{2} -72=3( 6^{3} )-16( 6^{2} )-72
=3(216)-16(36)-72

=648-576-72
=648-648
=0
hence x-6 is a factor of the given polynomial
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ladessa [460]
To find the value of C: Use the Pythagorean Theorem

4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

sqrt of 25 = c

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7 0
3 years ago
Dorothy's dietary intake for one day consisted of 250 grams of carbohydrate, 60 grams of protein, and 40 grams of fat. What perc
tester [92]

Answer:

\%Percent = 17.14\%

Step-by-step explanation:

Given

Carbohydrate = 250\ g

Protein = 60\ g

Fat = 40\ g

Required

Determine the percentage of protein

First, we need to calculate the total:

Total = Carbohydrate + Protein + Fats

Total = 250\ g + 60\ g + 40\ g

Total = 350\ g

Percentage of protein is calculated as thus:

\%Percent = \frac{Protein * 100\%}{Total}

\%Percent = \frac{60 * 100\%}{350}

\%Percent = \frac{6000\%}{350}

\%Percent = 17.14\%

4 0
3 years ago
Does anyone know what the answer is
Natali5045456 [20]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
How much fencing does Farmer Gump need?
Agata [3.3K]

For the first field, he will need 40 m for the fence, this will cost £640 and he can have 10 sheep. For the second field, he will need 60 m for the fence, this will cost  £960 and he can have 12 sheep.

<h3>What does this problem require?</h3>

This problem requires you to calculate the perimeter and area of each field and based on this information you can find the total of the fence the farmer requires, the cost, and the number of sheep.

<h3>How to calculate the perimeter?</h3>

You can calculate the perimeter by adding all the sides.

  • Field 1: 10m + 10m + 10m + 10m = 40 m
  • Field 2: 25m + 5m + 25m + 5m = 60 m

<h3>How to calculate the area?</h3>

To calculate the area, multiply the height by the width.

  • Field 1: 10 x 10 = 100m2
  • Field 2: 25 x 5 = 125m2

<h3>How much fencing does the farmer need?</h3>

The fencing needed is equal to the perimeter.

  • Field 1: 40 m of fencing
  • Field 2: 60 m of fencing

<h3>How much will it cost?</h3>

Multiply the number of meters needed by the price per meter ( £16 per meter).

  • Field 1: 40m x  £16 per meter = £640
  • Field 2: 60 m x £16 per meter = £960

<h3>How many sheep can there be in each field?</h3>

To calculate this divide the area into the space required by each sheep (10m2).

  • Field 1: 100m2 / 10m2 = 10 sheep
  • Field 2: 125m2 /10m2 = 12 sheep

Note: This question is incomplete; here is the missing information:

Farmer Gump has two problems. His first problem is to work out how much fencing he needs to buy for his fields so his sheep don’t escape. His second problem is to work out how many sheep each field can hold—each sheep needs a minimum of 10m² of grass!

Sheep cost £65 each.

The fence is £16 per meter.

Learn more about perimeter in: brainly.com/question/6465134

4 0
3 years ago
If a pair of pants costs $30.00 and is marked 15% off, what is the sale price
belka [17]
$25.50
15% of 30 is 4.5 which if you subtract it'll make $25.50 <span />
5 0
3 years ago
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