Answer:
-2
Step-by-step explanation:
To solve you need to replace the variables with their numbers.
3(-1) - (-1^2)
-1 x -1 = -1
3 x (-1) = -3
-3 - (-1) =
-2
-20 because after the the thermometer hits zero the more negative the temperature gets the colder it is
F(x) = x
stretch by 3:
f(x) = 3x
flip over x-axis
g(x) = -3x
answer is C. g(x) = -3x
Answer:
The first statement is true.
Step-by-step explanation:
The function is f(x) = - (x + 6)(x + 2)
⇒ f(x) = - x² - 8x - 12
Now, condition for a function f(x) to be increasing at x = a is f'(a) > 0.
Now, f(x) = - x² - 8x - 12
⇒ f'(x) = -2x - 8 {Differentiating with respect to x}
Now, f'(a) = -2a - 8 {Here a can be any real value}
And, the condition for increasing function at x = a is
- 2a - 8 > 0
⇒ - 2a > 8
⇒ a < - 4
Therefore, the first statement is true i.e. the function is increasing for all real values of x where x < – 4. (Answer)
Answer:
12
Step-by-step explanation:
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Then the greatest common factor is 12.
