(p of q)(x) means that q(x) is inserted into p(x).
p(q(x)) = 2(x - 3)^2 - 4
Expand (x - 3)^2.
p(q(x)) = 2(x^2 - 6x + 9) - 4
p(q(x)) = 2x^2 - 12x + 14
Answer:
6) 48/52
7)48/73
Step-by-step explanation:
SohCahToa
- Sine of an angle = Opposite side/Hypotenuse
- Cosine of an angle = Adjacent side/Hypotenuse
- Tangent of an angle = Opposite side/Adjacent side
These three operators can be thought of as ratios of certain sides of a triangle. A ratio is just a comparison of two quantities; or lengths of the sides in this case.
Answer: quotient is 2x^2 + 10x - 5
Solution:
The first polynomial is miswritten.
The right one is: 2x^3 + 4x^2 - 35x + 15.
So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)
The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.
So, in this case it is:
3 | 2 4 -35 15
---------------------------------
2 10 - 5 0
So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.
I like to show it in this other way:
| 2 4 -35 15
|
|
3 | +6 +30 -15
--------------------------------
2 10 - 5 0
Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
Answer:
The volume of a right circular cone is 
.
Step-by-step explanation:
The circumference of the base of a right circular cone is 125.6 ft.
Height of cone is 75 ft.
Circumference of base is :
, r is radius
The volume of a cone is given by :
So, the volume of a right circular cone is .
