This is false.
The f(3x) means you are multiplying the input 'x' by 3 before plugging into the equation.
3f(x) means you are going to multiply your answer (output) by 3 after you've plugged the input value in and gotten the output.
Answer:
a) 
, b) 
.
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.
b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:
The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:
According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:
The exact solution is , indicating that graphic solution leads to a good approximation.
Answer:
$75.08
Step-by-step explanation:
x over 57.75 = 30 over 100
57.75 * 30
1732.5 / 100
17.325
57.75 + 17.325
75.075
Simplify = $75.08
Answer:
BC = 2
Step-by-step explanation:
We first need to use triangle BAD to find BD,
BD is the hypotenuse, so use pythagorean theorem...
(√23)² + (√13)² = (BD)²
23 + 13 = (BD)²
36 = (BD)²
6 = BD
Now BD is the hypotenuse of triangle BCD, so use pythagorean theorem agian to find BC
(4√2)² + (BC)² = 6²
32 + (BC)² = 36
(BC)² = 4
BC = 2
Answer:
Option 3: mean increases by 3
Step-by-step explanation:
Current mean:
[50+76+78+2(79)+80+81+2(82)+83] ÷ 10
= 77
Without the outliers:
[76+78+2(79)+80+81+2(82)+83] ÷ 9
= 80
80 - 77 = 3 (increase)
