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: -260
Step-by-step explanation:
7x +2x+27 = 180
9x +27 = 180
-27 -27
9x = 153
÷9. ÷9
x = 17
ANSWER: B
In 1 meter there are 1,000 millimeter.
When you go from small (mm) to big (m) you always divide the small (mm) by what the equivalent of 1 big (m) but in terms of the small (mm)
^^^That's a bit confusing so I will work it out so it makes more sense...

^ this is the equivalent to 1 meter (the big in this case)
3 m = 3,000 mm
Hope this helped! Let me know if there is anything else that I can do!