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kkurt [141]
2 years ago
12

A rectangle has a height of 4x^34x 3 4, x, cubed and a width of x^3+3x^2+2xx 3 +3x 2 +2xx, cubed, plus, 3, x, squared, plus, 2,

x. Express the area of the entire rectangle. Your answer should be a polynomial in standard form. A rectangle with a height of 4 X cubed and a width of X cubed plus 3 X squared plus 2 X. The rectangle has 3 sections, one for each term of the width.
Mathematics
1 answer:
kirill115 [55]2 years ago
4 0

Answer:

4x^6+12x^5+8x^4

Step-by-step explanation:

Height of the rectangle=4x^3

Width of the rectangle =x^3+3x^2+2x

Area of a rectangle = Height X Width

=4x^3(x^3+3x^2+2x)\\=4x^3*x^3+4x^3*3x^2+4x^3*2x\\=4x^{3+3}+12x^{3+2}+8x^{3+1}\\=4x^6+12x^5+8x^4

The area of the entire rectangle is: 4x^6+12x^5+8x^4 in standard form.

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This is possible for a smaller watering can. 3 liters is about 3/4 of a gallon (imagine a jug of milk).

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3 years ago
ou are having a meeting with the CEO of a technology company. You have interpreted the number of laptops produced versus profit
Mama L [17]

Answer:  We can plot the graph with help of below explanation.

Step-by-step explanation:

Since, given equation of polynomial,

P(x) = x^4 - 3x^3 - 8x^2 + 12x + 16

End behavior : Since, the leading coefficient of the polynomial is positive and even.

Therefore, the end behavior of the polynomial is,

f(x)\rightarrow -\infty as x\rightarrow -\infty

And, f(x)\rightarrow +\infty  as  x\rightarrow +\infty

Points of the curve : since, P(4) = 0

Therefore, (x-4) is the multiple of P(x),

And we can write,  x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x^3+x^2-4x-4)

x^4 - 3x^3 - 8x^2 + 12x + 16=(x-4)(x+1)(x^2-4)

x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x+1)(x+2)(x-2)

Thus, the roots of equation are 4, 2, -1 and -2.

Therefore, x-intercepts of the polynomial are (4,0) (2,0) (-1,0) and (-2,0)

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4 0
3 years ago
Is h(x)=23 a linear function or no? Explain.
svet-max [94.6K]
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... so when we draw a chart it will be line on 23 coordinate ;)
4 0
2 years ago
Read 2 more answers
If there are 400 ounces in 25 pounds, how many ounces are in 8 pounds
ladessa [460]
The answer is:  " 128 oz. " . 
_________________________________________________________
There are:  " 128 oz. " (in " 8 lbs." ) .
_________________________________________________________
Explanation:
________________________________________________________
Set up a proportion;  as a fraction; as follows:
________________________________________________________

 400/ 25  = x / 8 ; 

in which:  "x" = the number of "ounces [oz.] there are in "8 lbs." ;
________________________________________________________
We shall solve for "x" , the answer to the problem:

Cross-factor multiply:

25x = (400) * 8 ; 

→ 25x = 3200 ; 

Divide each side of the equation by "25" ; to isolate "x" on one side of the equation; & to solve for "x" ; 

→ 25x / 25 = 3200 / 25 ; 

→  x = 128 .
_________________________________________________________
Answer:  " 128 oz. " . 
_________________________________________________________
There are:  " 128 oz. " (in " 8 lbs." ) .
_________________________________________________________

Note of interest:  " 16 oz. =  1 lb. " (exact conversion). 

So;  "8 lbs.  <span>=  ?</span>  oz. " ; 

→  " 8 lbs. * (16 oz/ 1 lb)  =   ( 8 * 16) oz.  =  128 oz. ;  →  which is our answer!
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3 0
2 years ago
Read 2 more answers
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