Answer: Absolute minimum: f(-1) = -2
Absolute maximum: f(
) = 12.5
Step-by-step explanation: To determine minimum and maximum values in a function, take the first derivative of it and then calculate the points this new function equals 0:
f(t) = 
f'(t) = 
f'(t) = 
f'(t) = 
= 0
For this function to be zero, only denominator must be zero:
t = ±
≠ 0
t = ± 5
Now, evaluate critical points in the given interval.
t = 
and t = - 5 don't exist in the given interval, so their f(x) don't count.
f(t) =
f(-1) = 
f(-1) = 
f(-1) = 
f() = 
f() = 12.5
f(5) = 
f(5) = 0
Therefore, absolute maximum is f() = 12.5 and absolute minimum is
f(-1) = .
Answer:
28,882.87
Step-by-step explanation:
20,157.50
+ 8,725.37
28,882.87
5,687.50 mg are in 1/2 a tsp
Answer:1=1
Step-by-step explanation:Let your no.= x
double the number=2x
add 4 = 2x+4
subtract same number=2x+4-x
subtract 3=2x+4-x-3
I get my number plus 1=x+1
so equation we get
2x+4-x-3=x+1
x+1=x+1
x=x
it means x is equal to all real number
So your number can be any real number
Step-by-step explanation:
Given that,
a + 2b = 17
Also,
2a + b = 4
By adding the above expressions we get,
a + 2b + 2a + b = 17 + 4
3a + 3b = 21.
3 (a + b) = 21
a + b = 21/3
a + b = 7 Let us take 'b' = 10
a + 10 = 7
a = 7 - 10
a = -3
Now let's check by verifying by putting a = -3 and b = 10 in the previous expressions
a + 2b = 17
-3 + (2 × 10) = 17
-3 + 20 = 17
17 = 17
2a + b = 4
(2 × -3) + 10 = 4
-6 + 10 = 4
4 = 4
Therefore, a = -3 and b = 10 [(-3,10)] is the solution.
