Answer:
A
Step-by-step explanation:
x + 4 = ± 2
x = -2
x = -6
Hello,
f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)
lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11
Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11
at point(1,-7)
0.06x+0.09 (1200-x)=96
Solve for x
X=400 at 6%
1200-400=800 at 9%
<h3>Answer:</h3>
C. The playable area has a width of 9 inches and a height of 6 inches.
<h3>Explanation:</h3>
There are a number of ways you can get there.
1. Check the answers to see which have the right area and aspect ratio.
- A: area = 24 in² — does not match 54 in²
- B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio
- C: area = 54 in², aspect ratio 9:6 = 3:2 — <em>matches problem statement</em>
- D: area = 121.5 in² — does not match 54 in²
2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.
3. You can write equations for width and height and solve.
Substituting w=3/2·h into the second equation gives
... (3/2)h·h = 54
... h² = 36 . . . . . multiply by 2/3
... h = √36 = 6 . . . . square root, result in inches . . . . matches selection C
