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.
1:9.....this is basically saying that for every 1 hr she works, she makes $ 9
5 hrs ..(5 * 9) = 45..... 5:45 or 5 to 45 or 5/45
6 hrs...(6 * 9) = 54......6:54 or 6 to 54 or 6/54
8 hrs...(8 * 9) = 72......8:72 or 8 to 72 or 8/72
Answer:
option d
Step-by-step explanation:
The cross section of the rectangular prism is parallel to the base.
So, the length and width is congruent to the base. So, same length and width
Answer:
1571 in
Step-by-step explanation:
Given data
Diamter= 25 in
radius= 25/2= 12.5in
Circumference= 2πr
substitute
C=2*3.142*12.5
C=78.55in
In 1 revolution the bike will travel 78.55in
in 20 revolutions the bike will travel
=78.55*20
=1571 in
4x - 8 + 6x + 13 = 90
4x + 6x = 90 + 8 - 13
10 x = 85
10x/10 = 85/10
x = 8.5
