What are the leading coefficient and degree of the polynomial? 20-w^9+2w^3+12w

Mathematics

1 answer:

Ilya [14]4 years ago

6 0

I assume you want the leading coefficient because there is only 1.

The leading coefficient is always in front of the term with the greatest exponent.

Leading coefficient = -1.

The degree of this function is 9. It is a ninth degree polynomial function. Why 9? It is a 9th degree polynomial because 9 is the greatest power.

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*If 3 + 4(2x - 1) = 23, then 2x - 2 equals: * 2 4 6 8

Anarel [89]

Answer:

Step-by-step explanation:

3 + 4(2x - 1) = 23

4(2x - 1) = 20

8x - 4 = 20

8x = 24

x = 3

---------

2(3) - 2

6 - 2

7 0

3 years ago

Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can?

lutik1710 [3]

If the soda can is a cylinder, which is most likely, than that means we need to find the height of the cone. The formula for volume of a cylinder is V= пr^2h (look at the pic for clearer formula) and we know the diameter of the soda can is 6, we know the radius is 3 because diameter is a line reaching from one point of the circle to the other. Radius is a line reaching from the center of the circle to the outside as shown in the image. We divide pi (you can put in the calculator 3.14) from 21, then we get 6.688 (if we round up) and then you must look at the formula now

it looks like
6.688=r^2h

that means we must find 3^2
that basically means 3x3 which is 9

then you have to divide that from 6.688

then you get 0.743

that is your height.

now we must find the volume of the cone. The formula for that is

V=пr^2(h/3)

now lets plug in our info

V=(3.14)(9)(0.743/3)

you get 6.999