Answer:
f(–5) = 20, f(0) = 10
Step-by-step explanation:
f(-5):
f(-5) = 2|-5 -5|
f(-5) = 2|-10|
f(-5) = 2(10)
f(-5) = 20
f(0):
f(0) = 2|0 - 5|
f(0) = 2|-5|
f(0) = 2(5)
f(0) = 10
The range is the set of Y values. In this function it would be(-5,+5)
This is not a difficult question and I will help you solve it :)
When calculating 1/10 from 40, what we have to do is this:
(1/10) * 40 = 4
This means that we have to multiply 40 by 1 and divide by 10 :)
So the answer in this case is 4.
We know that the perimeter of a rectangle can be represented by the expression 2l +2w, where l represents the length of the rectangle and w represents the width of the rectangle.
If we substitute in the values given in this problem, we get the expression:
2(2x+6) + 2(x)
Another equivalent expression we can use to express the perimeter is w + w + l + l.
If we substitute in the values given in this problem into this expression, we get:
x + x + 2x + 6 + 2x + 6
Overall, we know that these expressions are equivalent and represent the same value (the perimeter of the rectangle), because if you combine like terms, both expressions simplify to 6x + 12.
Hope this helps!
Answer:
-1.
Step-by-step explanation:
First find the derivative of f(x):
f'(x) = -3x^2 + 12x - 9 = 0 for a maximum or minimum.
-3(x^2 - 4x + 3) = 0
(x - 1)(x - 3) = 0
x = 1, 3.
To find which gives a relative maximum we find the second derivative:
f"(x) = -6x + 12
When x = 1 f"(x) = 6, positive.
when x = 3, f"(x) = -6, negative.
So x = 3 gives a maximum value of f(x).
f(3) = -(3)^3 + 6*(3)^2 - 9(3) - 1 = -1 (answer).
