Answer:
1) D. 
2) E. The coefficient of 
is -16.
Step-by-step explanation:
1) A polynomial is an algebraic expression of the form 
, where 
is the grade of the polynomial. In this case, the only equation that satisfies this definition is:
Correct answer: D
2) Let 
, we proceed to expand the expression by algebraic means:
We see that coefficients for 
and are -16 and 0, respectively. Hence, the incorrect answer is E.
Answer:
+120/169 or -120/169
Step-by-step explanation:
- let
![cos^{-1}[\frac{5}{13} ] = \alpha](https://tex.z-dn.net/?f=cos%5E%7B-1%7D%5B%5Cfrac%7B5%7D%7B13%7D%20%20%5D%20%3D%20%5Calpha)
where, alpha is some angle that satisfies the assumed condition.
- so,
[ taking cos to the other side or applying cos on both sides]
- now, substitute this in the given expression
as sin
= 
[by general trigonometry formula: ![cos^{2}[\beta] +sin^{2}[\beta]=1](https://tex.z-dn.net/?f=cos%5E%7B2%7D%5B%5Cbeta%5D%20%20%2Bsin%5E%7B2%7D%5B%5Cbeta%5D%3D1)
]
so if , we can get sin
from the above formula as + or - 12/13
(because, after taking square root on both sides we keep + or -]
- as, sin
![2\beta = 2*sin[\beta ]*cos[\beta ]](https://tex.z-dn.net/?f=2%5Cbeta%20%20%3D%202%2Asin%5B%5Cbeta%20%5D%2Acos%5B%5Cbeta%20%5D)
[by general trigonometry formula]
- here, now
![sin[2\alpha ]=2*(+or- 12/13)*5/13\\](https://tex.z-dn.net/?f=sin%5B2%5Calpha%20%5D%3D2%2A%28%2Bor-%2012%2F13%29%2A5%2F13%5C%5C)
so, the final value can be 120/169 or -120/169.
Answer: a) the dependent variable is y, the amount he earns depending on x, the independent variable. x is the number of hours.
b) y = 5x + 10
c) Bobby earns $27.50 for the 3.5 hour job
Step-by-step explanation: use the function y=5x + 10 substitute 3.5 for x
y = 5(3.5) + 10
y = 17.5 + 10
y= 27.5
Answer:
It has 0 distinct real number zeros. The function does not touch the x-axis
Answer: Quadrant 4
Step-by-step explanation:
