The graph of
is shown in the graph below.
The graph is of ∩-shape when the constant
of the quadratic equation
is negative
Answer:
B) 10 cm
Step-by-step explanation:
Hello!
We can use the Pythagorean theorem to solve for the hypotenuse.
Formula: 
- a = leg
- b = leg
- c = hypotenuse
We can plug in the values for each leg to solve for the hypotenuse.
<h3>Solve for c</h3>
The answer is Option B: 10 cm
Answer:
absolute max is 120 and absolute min is -8
Step-by-step explanation:
Find critical numbers
f'(x) = 3x^2 - 12x + 9 = 0
= 3(x^2 - 4x + 3) = 0
3(x-3)(x-1) = 0
(x-3) = 0 or (x-1)=0
x = 1,3
Test them!
x<1 Sign of f' on this interval is positive
1<x<3 Sign of f' on this interval is negative
x>3 Sign of f' on this interval is positive
f(x) changes from positive to negative at x = 1 which means there is a relative maximum here.
f(x) changes from negative to positive at x = 3 which means there is a relative minimum here.
Test the endpoints to find the absolute max and min.
f(-1) = -8
f(1) = 12
f(3) = 8
f(7) = 120
The absolute maximum value of f is 120 and the absolute minimum value of f is -8.
(2x - y = -2)2
5x - 2y = -7
4x - 2y = -4
Subtract both
x = -3
5(-3) - 2y = -7
-15 - 2y = -7
-2y = 8, y = -4
Solution: (-3,-4)
20/21 (WORK AND EXPLANATION PROVIDED)
