Answer:
Ask: Which two numbers add up to -1 and multiply to -6
-3 and
2. Rewrite the expression using the above.
(x-3)(x+2)
Step-by-step explanation:
The formula for area of a circle is (pi)*radius^2
Radius is half of diameter so the radius is 2.
2 squared is 4, then multiply by pi to get an answer of 4(pi) or 12.56.
Answer:
Step-by-step explanation:
mean- add up all numbers and divide by how many numbers there are
median- the middle number out of the list of numbers
mode- the number you see most often
increases by 11.1% and his raise £18 and £2 less than what he wants
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.
