
The property above is distribution property where we distribute x-term in the function.
Substitute both f(x) and g(x) in.

Évaluate/Combine like terms.

The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)

<u>Alternative</u>

<u>Answer</u>
- (f+g)(x) = 2x²-2x-2
- (f+g)(x) = 2(x²-x-1)
Both answers work. The second answer is in factored form.
Let me know if you have any doubts!
Answer:
that answer u put is correct and r u in K12 to lol
Answer:
The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes
Step-by-step explanation:
We have the standard deviation for the sample, but not for the population, so we use the students t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 35 - 1 = 35
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of
). So we have T = 2.0322
The margin of error is:
M = T*s = 2.0322*30 = 60.97
The upper end of the interval is the sample mean added to M. So it is 204 + 60.97 = 264.97
The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes
Answer:1/81
Step-by-step explanation:
Answer:
A = 36.8°
B = 23.2°
a = 7.6
Step-by-step explanation:
Given:
C = 120°
b = 5
c = 11
Required:
Find A, B, and a.
Solution:
✔️To find B, apply the Law of Sines

Plug in the values

Cross multiply
Sin(B)*11 = sin(120)*5
Divide both sides by 11


Sin(B) = 0.3936
B = 
B = 23.1786882° ≈ 23.2° (nearest tenth)
✔️Find A:
A = 180° - (B + C) (sum of triangle)
A = 180° - (23.2° + 120°)
A = 36.8°
✔️To find a, apply the Law of sines:

Plug in the values

Cross multiply
a*sin(23.2) = 5*sin(36.8)
Divide both sides by sin(23.2)

a = 7.60294329 ≈ 7.6 (nearest tenth)