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:
B
Step-by-step explanation:
Answer:
34 Braids
Step-by-step explanation:
.85 per braid means 1 is 85 cents, 2 is $1.70 and so on. So normally you would just divide the total amount of money, so for instance if you had $2.55 you would be able to afford 3 braids, since 3 braids cost $2.55. in fact $2.56, $2.57 aaaaaaaaaaall the way up to $3.39 would be 3 braids, then $3.40 would be 4 braids.
Here though you first pay 3 dollars. so you need 3 first, then an extra 85 cents to get 1 braid. 2 braids is 3 dollars plus 1.70, 3 braids is 3 + 2.55 4 braids is 3 + 3.40 and so on.
So what you want to do is first take away that 3 dollars you need before the braids, then divide by .85. for instance $6.40 would get you 4 braids as I showed bcause 3 + 3.40 = 6.40. now 6.40 - 3 = 3.40 then 3.40 divided by .85 = 4
The problem says we start with$32, so lets do those steps. first 32 - 3 = 29. then 29 divided by .85 = 34.11. well it's not whole number so lets try something. 34 braids would be 3 + .85*34 = 31.90 and 35 braids would be 32.75 So 31.90, 31.91 aaaaaaaaall the way up to 32.74 would be 34 braids then 32.75 would be 35 braids. well, $32 is in that in between space, so it is 34 braids.
When I did 32 - 3 = 29. then 29 divided by .85 = 34.11 that 34.11 does actually tell us we wouldn't get to 35, I just wanted to make it very clear. so the answer is 34 braids.
