Answer:
17
Step-by-step explanation:
To evaluate the expression substitute x = - 1 and y = 3 into it
3(- 3)² - 2(- 1) - 12
= 3 × 9 + 2 - 12 = 27 + 2 - 12 = 29 - 12 = 17
Answer:
<u>Step-by-step explanation:</u>
Answer:
See below ↓
Step-by-step explanation:
3.
4.
- Draw a number of spacing 0.25 each
- Start from -1 to 1
- -2/8 = -0.25 [mark on line]
- 3/6 = 0.5 [mark on line]
5.
- Midpoint of -2/5 and 1/2
- M = [-2/5 + 1/2] / 2
- M = [1/10] / 2
- M = 1/20
Hey there mate ;)
Note that the quadratic function
A(x) = x(100-2x) gives the area.
Now, this equation is equivalent to:
A(x) = 100x - 2x²
To find maximum value of A, we first find the derivative of the given function:
Now find the critical value by setting dA/dx=0, that is:-
Solving for x, we get:
Hence, the critical point is x=25
Now, Find 2nd derivative to check if the equation has maximum value:
Noting that the 2nd derivative is negative, hence, we have a maximum value. Infact, the maximum value in this case is when the value of x = 25.
The maximum area is therefore,
→ The Correct answer is: