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stiv31 [10]
11 months ago
8

Which of the following represents the sum of the polynomials below?

Mathematics
1 answer:
zysi [14]11 months ago
3 0

Answer:

A

Step-by-step explanation:

First, you have to align the like terms next to each other so that it will be easier to combine like terms. (Like terms have the same variables and powers)

6x^3+(-2x^3)+2x^2+5x^2+9x+3x

Combine like terms:

(When combining like terms all you have to do is add/subtract the coefficients, number in front of variables, and leave the variable and exponents)

6x^3+(-2x^3)= > 6x^3-2x^3=4x^3

2x^2+5x^2=7x^2

9x+3x=12x

So, we get 4x^3+7x^2+12x

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Need help with number 19!!!
zhannawk [14.2K]
2+2a           1x4a
------           ------      
   b                b

LOL, idk if this is right, but it is how i think it should be solved


7 0
3 years ago
The total surface area of a cone whose radius is 2 r and slant height 2l is
vampirchik [111]

Answer:

A=4\pi r(l+r)

Step-by-step explanation:

The total surface area of a cone is given by :

A=\pi rl+\pi r^2\\\\=\pi r(l+r)

Put r = 2r and l = 2l in the above formula

A=\pi \times 2r(2l+2r)\\\\A=2\pi r(2l+2r)\\\\=2\pi r \times 2(l+r)\\\\=4\pi r(l+r)

Hence, the total surface area of the cone is 4\pi r(l+r).

7 0
2 years ago
A wire 6 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the
zhenek [66]

Answer:

Used wire in circle  x = 2.64 m

Used in square   L - x = 3.36 m

Total wire used 6 m

Step-by-step explanation:

We have a wire of 6 meters long.

We will cut it a distance x from one end, to get two pieces

x    and   6 - x

We are going to use the piece x  to get the circle then

So Perimetr of a circle is 2π*r    (r is the radius of the circle) then:

x = 2*π*r    ⇒    r = x/2*π

And area would be  A(c) = π* (x/2*π)²   ⇒ A(c) = x²/4π

From 6 - x we will get a square, and as the perimeter is 4 times the side

we have

( 6 - x )/ 4  is the side of the square

And the area is  A(s) = [( 6 - x ) /4]²

Total area as function of x is

A(t)  = A(c) + A(s)

A(x)  =  x²/4π  + [ ( 6  -  x  ) / 4 ]²

A(x)  =   x²/4π  + (36 + x² - 12x) /16

A(x)  = 1 / 16π [ 4x² + 36π + πx² -  12π x ]

Taking drivatives on both sides of the equation we get:

A´(x) = 1/ 16π [8x +2πx - 12π]

A´(x) = 0    ⇒      1/ 16π [8x +2πx - 12π]  = 0

[8x +2πx - 12π]  = 0

8x + 6.28x -  37.68  = 0

14.28x - 37.68 =  0      ⇒  x  = 37.68 /14.28

x = 2.64 m   length of wire used in the circle

Then the length L  for the side of the square is  

(6 - x )/4    ⇒ ( 6 - 2.64 )/ 4   ⇒ 3.36 / 4    

L = 0.84 m   total length of wire used in the square is

3.36 m

And total length of wire used is 6 m

The function is a quadratic  function and "a" coefficient is positive then is open upward parabola there is not a maximun

5 0
3 years ago
In 3 stores the same detergent is on special. Which store offers the Best Buy? explain
nikklg [1K]
$12.48/6= $2.08 
$14.42/7= $2.06 
$10.35/5= $2.07 
So you are looking for the best deal. 
The best deal would be: 
B.) 7 bottles for $10.35 
Hope that helps!! 
Have a wonderful day!! 
7 0
3 years ago
I need help with this question. Melissa is baking a birthday cake for her best friend and the preparation time is 12 minutes, wh
Otrada [13]

Answer:

I put all the steps down. I don't know which one you want. I hope you understand it now.

Step-by-step explanation:

b = baking time

p = preperation time

p = 1/3b

12 = 1/3b

b = 12*3

b = 36 minutes

5 0
2 years ago
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