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:
A = 28.3 cubic inches; P = 20.1 inches
Step-by-step explanation:
<em>Looks like 3/4 of a full circle</em>
<em>The area of a circle is calculated with the formula: </em>
<em>Since the problem wants pi = 3.14, we use 3.14 instead of pi in the equation.</em>
<em>The radius is given as 3 inches</em>
Area = 
cubic inches = 28.3 cubic inches
------------------------
<em>Perimeter is calculated with </em>
<em>.</em>
<em>But this is 3/4 of a circle with an additional two 3-inch sides</em>
Perimeter = 
+ 2(3) = 14.1 + 6 = 20.1 inches
Step-by-step explanation:
1) Ans 3
2) Ans 6
3) Ans 4
4) Ans 1/5
5) Ans 1/23
The answer is 6
- hope this helps ♡
Answer:
The correct answer is:
44% (B.)
Step-by-step explanation:
number of times flipped = 50 times
number of times red landed face-up = 22 times
∴ frequency of chip landing with red side face up = (number of times red landed face-up) ÷ (number of times flipped) × 100
= (22 ÷ 50) × 100 = 44%
