The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.
Answer:
1. $8.30
Step-by-step explanation:
so 3 hats were purchased and each cost 15.50 so
15.50*3=46.50
and the rest of the 96.30 is 6 keychains so
96.30-46.50=49.80
and there is 6 keychains
49.80/6=8.30
Each key chain was $8.30
Claire's answer is unreasonable because when we got the price of the keychains all together in Claire's mind the total for the keychains would be $4.98, which we clearly got the total for the keychains at $49.80.
We need to calculate a TIME. Here, TIME = job / rate
Here,
1 JOB 1 1
------------------------------------- = ------------------ = ---------------
JOB/5 min + JOB/15 min 1/5 + 1/15 3/15+1/15
1
= ------------ minutes = 15/4 minutes = 3 3/4 minutes (answer)
4/15
Answer:
2/3
Step-by-step explanation:
Time it would take Sarah to complete the work in one hour = work completed in 1/4 hours x 4
We are multiplying by 4 because there are 4, 1/4 in an hour
1/4 + 1/4 + 1/4 + 1/4 = 1 hour
× 4 = 
To transform to the simplest form. divide both the numerator and the denominator by 2
= 
The musicians straight time pay is $107.75
