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Ksenya-84 [330]
2 years ago
15

A rectangle has a length of x and a width of 5x^3+4-x^2. What is the polynomial that models the perimeter of the rectangle

Mathematics
1 answer:
sveticcg [70]2 years ago
8 0

Answer:

L= x

And the width for this case is:

W= 5x^3 +4 -x^2

And we know that the perimeter is given by:

P= 2L +2W

And replacing we got:

P(x) = 2x +2(5x^3 +4 -x^2)= 2x +10x^3 +8 -2x^2

And symplifying we got:

P(x)= 10x^3 -2x^2 +2x+8

Step-by-step explanation:

For this problem we know that the lenght of the rectangle is given by:

L= x

And the width for this case is:

W= 5x^3 +4 -x^2

And we know that the perimeter is given by:

P= 2L +2W

And replacing we got:

P(x) = 2x +2(5x^3 +4 -x^2)= 2x +10x^3 +8 -2x^2

And symplifying we got:

P(x)= 10x^3 -2x^2 +2x+8

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Step-by-step explanation:

5 times x (a number) subtract 7

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7 0
2 years ago
Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in ye
sdas [7]

Answer:

10 + (\frac{2}{3}) a = 50 is the CORRECT equation.

Step-by-step explanation:

The given question is INCOMPLETE.

Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.” Javier writes the equation { 10 + 2/3} where a is the tree’s age in years. His equation is not correct. What error did he make?

Now here:

a:  The tree’s age in years.

Also,  “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”

⇒ 10 +  two-thirds of that tree’s age  = 50

\implies 10 + (\frac{2}{3}) a = 50

But in the equation written by Javier, the the third fraction is NOT MULTIPLIED by the age of the tree a in Years.

So, the written equation by Javier is Incorrect.

Now, solving the written correct equation for the value of a, we get:

\implies 10 + (\frac{2}{3}) a = 50\\\implies  (\frac{2}{3}) a = 40\\\implies a = 40 \times  (\frac{3}{2})  = 60\\\implies a  = 60

Hence the correct  age of the tree = 60 years

5 0
3 years ago
Which expression is equivalent to s - 0.78s +0.28s?<br> 0.58<br> 1.5s<br><br> O 1-0.55<br> s – 0.5
Andrej [43]

Answer:

0.5s

Step-by-step explanation:

5 0
3 years ago
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