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.
1500 members have a contributor membership.
64.8% of the noncontributory memberships are individual memberships.
<u>Step-by-step explanation:</u>
There are 20,000 members of a zoo.
⇒ Total members = 20,000
From the graph shown,
7.5% of the members have a contributor membership.
<u>To find the number of members who have contributor membership :</u>
⇒ 7.5% of 20,000
⇒ (7.5/100) × 20,000
⇒ 7.5 × 200
⇒ 1500 members.
Therefore, 1500 members have a contributor membership.
<u>To find the percentage of the noncontributory memberships are individual memberships :</u>
The percentage of noncontributory memberships = 100% - 7.5% ⇒ 92.5%
The percentage of individual memberships = 60%
∴ What percentage of the noncontributory memberships are individual memberships ⇒ (60 / 92.5) × 100 = 64.8%
c. (x + 5)(x - 7) use the FOIL method.
x² + 5x - 7x - 35
x² + (5x - 7x) - 35 collect like terms.
x² - 2x - 35
hope that helps, God bless!
Answer:
5
8
20
Step-by-step explanation: