Answer with explanation:
→→→Function 1
f(x)= - x²+ 8 x -15
Differentiating once , to obtain Maximum or minimum of the function
f'(x)= - 2 x + 8
Put,f'(x)=0
-2 x+ 8=0
2 x=8
Dividing both sides by , 2, we get
x=4
Double differentiating the function
f"(x)= -2, which is negative.
Showing that function attains maximum at ,x=4.
Now,f(4)=-4²+ 8× 4-15
= -16 +32 -15
= -31 +32
=1
→→→Function 2:
f(x) = −x² + 2 x − 3
Differentiating once , to obtain Maximum or minimum of the function
f'(x)= -2 x +2
Put,f'(x)=0
-2 x +2=0
2 x=2
Dividing both sides by , 2, we get
x=1
Double differentiating the function,gives
f"(x)= -2 ,which is negative.
Showing that function attains maximum at ,x=1.
f(1)= -1²+2 ×1 -3
= -1 +2 -3
= -4 +2
= -2
⇒⇒⇒Function 1 has the larger maximum.
Answer:
only after you have done this an infinite amount of times, so, no not really.
Step-by-step explanation:
This is a geometric series also used in Zeno's paradox: Achilles and the tortoise.
Answer:
<u>The probability of winning three games in a row is 1/64 or 1.6%</u>
Step-by-step explanation:
Probability of winning a game = 1/4
Probability of winning two games in a row = 1/4 * 1/4 = 1/16
Probability of winning three games in a row = 1/4 * 1/4 * 1/4 = 1/64
Probability of winning three games in a row = (1/4)³ = 1/64
1/64 = 0.015625
1/64 = 1.6% (rounding to the next tenth)
Answer: No they are not. The first one is 54 and the second one is 51.
Step-by-step explanation: