Answer:
The slope is -2
Step-by-step explanation:
(-4,6) (3,-8)
(y₂ - y₁) / (x₂ - x₁)
((-8) - (6)) / ((3) - (-4))
(-8 - 6) / (3 + 4)
-14/7 = -2
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: with what
Step-by-step explanation:
Answer:
The speed of the private airplane is 770 mph, the speed of the commercial airplane is 980 mph.
Step-by-step explanation:
Let x mph be the speed of private airplane. If the speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane, then the speed of commercial airplane is (x+210) mph.
It takes the commercial jet 1.1 hours for the flight, then it covered the distance of

It takes the private airplane 1.8 hours for the flight, then it covered the distance of

The distances are the same, so

The speed of the private airplane is 770 mph, the speed of the commercial airplane is 770 + 210 = 980 mph.