Answer:
D'(-6,-4)
Step-by-step explanation:
When making this non rigid transformation about a point, keep in mind that a dilation by a certain scale factor can be represented by:
The solution to the problem is as follows:
<span>7(4)/4(4) = 28/16
28+16= 44
</span>
Therefore, the size of the graduating class would be 44 students in all.
I hope my answer has come to your help. God bless and have a nice day ahead!
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)
The equation has one solution, x = -7.
I’m pretty sure it’s, D, if not, it’s C, I haven’t done this in a few years so correct me if I’m wrong, but I’m more sure it’s D.