<span>The answer two this question is C.
You can get this answer by multiplying the two polynomials and then simplifying. See the steps below:
(4x^2 - 5)(x + 3) ---> Now multiply the two parenthesis.
4x^3 - 5x + 12x^2 - 15 ---> Arrange the numbers by decreasing exponents.
4x^3 + 12x^2 - 5x - 15
No simplifying can be done since there are no like terms. </span>
Answer:
10 minutes = 1.047198 radians
10 minutes = 60 degree
Step-by-step explanation:
we know that
There is 60 minutes in an hour
so it is This is 2 Pi radians
so 10 minutes is
or
th of an hour
and here we know the hand will travel of the full circle
and we know A full circle measures 2 Pi radians
2 × pi radians = 360 degrees
10 minutes =
× 2 × pi radians
10 minutes =
× pi radians
10 minutes = 1.047198 radians
10 minutes = 60 degree
Answer:
.
Step-by-step explanation:
We have been given that a variable force of
pounds moves an object along a straight line when it is x feet from the origin. We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.
We know that
, where F represents force.

Now, we will integrate both sides of equation as:

Take the constant out:


Upon applying power rule of integrals, we will get:
![w =3\/[ \frac{x^{-2+1}}{-2+1} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5C%2F%5B%20%5Cfrac%7Bx%5E%7B-2%2B1%7D%7D%7B-2%2B1%7D%20%5D%5E%7B10%7D_1)
![w =3[ \frac{x^{-1}}{-1} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5B%20%5Cfrac%7Bx%5E%7B-1%7D%7D%7B-1%7D%20%5D%5E%7B10%7D_1)
![w =3[ -\frac{1}{x} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7Bx%7D%20%5D%5E%7B10%7D_1)
![w =3[ -\frac{1}{10} -(-\frac{1}{1})]](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7B10%7D%20-%28-%5Cfrac%7B1%7D%7B1%7D%29%5D)
![w =3[ -\frac{1}{10}+\frac{10}{10})]](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7B10%7D%2B%5Cfrac%7B10%7D%7B10%7D%29%5D)
![w =3[\frac{9}{10}]](https://tex.z-dn.net/?f=w%20%3D3%5B%5Cfrac%7B9%7D%7B10%7D%5D)

Therefore, the work done by the object is
.
Answer:
x < 22
Step-by-step explanation:
X - 8 < 14
Add x to each side
X - 8+8 < 14+8
x < 22
The answer is The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and <span>5x + 5y = 50 is (8, 2)
Harry's money is $ 32
He said that he spent ALL of his money buying 3 Notebooksx and 4 cards y, so the equation that represent this is </span>
3x + 4y = 32 .
He said that HE IS SHORT $18 if he wants to buy 5 notebook x and 5 cards y,
So the equation that represent this is
5x + 5y = 32 + (18)
5x + 5y = 50
And (8,2) is the only one that fit in both equation/