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rjkz [21]
3 years ago
14

3. Which polynomial is equal to

Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0

Which polynomial is equal to  (-3x^2 + 2x - 3) subtracted from  (x^3 - x^2 + 3x)?

<h3><u><em>Answer:</em></u></h3>

The polynomial equal to (-3x^2 + 2x - 3) subtracted from  (x^3 - x^2 + 3x) is x^3 + 2x^2 + x + 3

<h3><u><em>Solution:</em></u></h3>

Given that two polynomials are: (-3x^2 + 2x - 3) and (x^3 - x^2 + 3x)

We have to find the result when (-3x^2 + 2x - 3) is subtracted from  (x^3 - x^2 + 3x)

In basic arithmetic operations,

when "a" is subtracted from "b" , the result is b - a

Similarly,

When (-3x^2 + 2x - 3) is subtracted from  (x^3 - x^2 + 3x) , the result is:

\rightarrow (x^3 - x^2 + 3x) - (-3x^2 + 2x - 3)

Let us solve the above expression

<em><u>There are two simple rules to remember: </u></em>

  • When you multiply a negative number by a positive number then the product is always negative.
  • When you multiply two negative numbers or two positive numbers then the product is always positive.

So the above expression becomes:

\rightarrow (x^3 - x^2 + 3x) + 3x^2 -2x + 3

Removing the brackets we get,

\rightarrow x^3 - x^2 + 3x + 3x^2 -2x + 3

Combining the like terms,

\rightarrow x^3 -x^2 + 3x^2 + 3x - 2x + 3

\rightarrow x^3 + 2x^2 + x + 3

Thus the resulting polynomial is found

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3 years ago
Harold Wagner pays a $325.00 premium annually. This represents 40% of the total premium. The rest of the premium is paid by his
tigry1 [53]

Answer:

a). The company's percentage=60%

b). The total premium=$812.50

c). The company's payment=$487.50

Step-by-step explanation:

a).

The total premium can be expressed as;

T=H+R

where;

T=proportion of total premium

H=proportion paid by Harold Wagner

R=remaining proportion

In our case;

T=100%

H=40%

R=r

replacing;

100%=40%+r

r=100%-40%

r=60%

The company's percentage=60%

b).

The total premium, if 40%=$325.00

Let total premium be=t

40% of t=325

(40/100)×t=325

0.4 t=325

t=325/0.4

t=$812.50

The total premium=$812.50

c).

The company's payment=60% of total premium

The company's payment=(60/100)×812.5

The company's payment=$487.50

5 0
3 years ago
Penny is going to fly her plane to her sister's house, which is 544.32 miles away. Penny's airplane flies at an average speed of
Sedbober [7]

Answer:

0.81 hour

Step-by-step explanation:

Given data

Distance=  544.32 miles

Speed=  672 miles per hour.

We know that

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Substitute

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cross multiply

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3 0
3 years ago
Tania took selfies with her 8 cousins. Each cousins is in 2 or 3 picture. There are exactly 5 cousins on each picture. How many
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Answer:

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Step-by-step explanation:

How many selfies did Tania take? (my first answer would be too many, but that's probably not the answer you're looking for :-) )

We know that each cousin appear 2 or 3 times overall.

If she would have taken each cousin exactly 2 times, that would be 16 cousins/photos

If she would have taken each cousin exactly 3 times, that would be 24 cousins/photos

We know there's exactly 5 cousins per photo...

so we have to find a multiple of 5 cousins/photos that is between 16 and 24.

The only possibility is 20 cousins/photos.  20 / 5 = 4 photos.

8 0
3 years ago
Write an algebraic expression for the phrase the sum of g and 3
Paraphin [41]
The sum of g and 3. 

The sum of two values is added together. 

g+3

You would add g to 3 since it is their sum the statement is asking for.

I hope this helps!
~kaikers
3 0
3 years ago
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