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ziro4ka [17]
3 years ago
5

Divide the following polynomials and then complete the quotient. Write your answer in order of decreasing powers of x.

Mathematics
1 answer:
NikAS [45]3 years ago
8 0
The easiest way to do this is to put each term in the numerator over the denominator and do the division/reducing for each one.  Like this: \frac{10 x^{6} }{5 x^{2} } + \frac{20 x^{4} }{5 x^{2} } - \frac{15 x^{2} }{5 x^{2} }.  The first term reduces to 2 x^{4}, the second to 4 x^{2}, and the third to 3.  Putting them all together with the signs in between we have 2 x^{4} +4 x^{2} -3
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Petra made the following observation:
AleksandrR [38]

Answer:A ratio compares two numbers or two quantities that are measured with the same unit. The ratio of a to b is written a to b,ab,ora:b. ... When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number.

Step-by-step explanation:

A ratio compares two numbers or two quantities that are measured with the same unit. The ratio of a to b is written a to b,ab,ora:b. ... When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number.

3 0
3 years ago
A company will make a cereal box with whole number dimensions and a volume of 100 cubic centimeters. if carboard cost $0.05 per
Lelu [443]
Possible dimension of a box with a volume of 100 cubic cm
10 x 10 x 1 = 100
10 x 5 x 2 = 100
5 x 5 x 4 = 100

Surface area:
10 x 10 x 1 dimensions: 
10 x 10 = 100 x 2 = 200 sq.cm
10 x 1 = 10 x 4 = 40 sq. cm
240 sq. cm * $0.05 / 100 sq.cm = $0.12 per box
0.12 per box * 100 boxes = $12

10 x 5 x 2 dimension
10 x 5 = 50 x 2 = 100 sq. cm
10 x 2 = 20 x 2 = 40 sq. cm
5 x 2 = 10 x 2 = 20 sq. cm
160 sq. cm * $0.05/100 sq. cm = $0. 08 per box
0.08 per box * 100 boxes = $8

5 x 5 x 4 dimension
5 x 5 = 25 x 2 = 50 sq. cm
5 x 4 = 20 x 4 = 80 sq. cm
130 sq. cm * $0.05/100 sq. cm = $0.065 per box
0.065 per box * 100 boxes = $6.50

The best dimension to use to have the least cost to make 100 boxes is 5 x 5 x 4. It only costs $6.50 to make 100 boxes.
8 0
3 years ago
The time t required to drive certain distance varies inversely with the speed r. It takes 2 hours to drive the distance at 40 mi
Roman55 [17]

Answer:

\frac{16}{9}  hours

Step-by-step explanation:

Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:

a=\frac{k}{b}

Since, here t is INVERSELY PROPORTIONAL to r, we can say:

t=\frac{k}{r}

Firstly, we have t = 2 hour and r = 40 mph, so we find k:

t=\frac{k}{r}\\2=\frac{k}{40}\\k=2*40\\k=80

Now, secondly, we have r = 45 and k = 80, we need to find t:

t=\frac{80}{45}\\t=\frac{16}{9}

So, it would take  \frac{16}{9}  hours

4 0
3 years ago
Compute the perimeter of the figure given below. All angles are right angles.
Mashcka [7]

Answer:44

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fix
dimulka [17.4K]

Let X be the number of energy drinks sold.

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fixed cost each month of $8000.

The manufacturing cost for X energy drinks is

1.20x

Fixed cost is $8000.

Therefore, cost function is

C(x)=1.20x+8000

Selling price of each drink is $2.

Therefore, the revenue function is

R(x)=2x

Hence, the revenue function is

R(x)=2x

6 0
1 year ago
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