Answer:
- x=8, x=2
- no solution
- no solution
Step-by-step explanation:
For the equation ...
y = a(x -h)² +k
you can find the x-intercepts by setting y=0 and solving for x.
0 = a(x -h)² +k
-k = a(x -h)² . . . . . . subtract k
-k/a = (x -h)² . . . . . divide by a
±√(-k/a) = x -h . . . . take the square root
h ± √(-k/a) = x . . . . add h . . . . this is the general solution
__
So, for each of your problems, fill in the corresponding numbers and do the arithmetic. If (-k/a) is a negative number, the square root gives imaginary values, so there is "no solution".
1. x = 5 ± √9 = {5 -3, 5 +3} = {2, 8} . . . . the x-intercepts are 2 and 8
2. x = -3 ± √(-2) . . . . . . no solution; the roots are complex
3. x = 5 ± √(-8/4) . . . . . no solution; the roots are complex
Answer:
6 years 4 months
Step-by-step explanation:
2 yrs+3yrs=5+1= 6
6m+10m= 16
There are 12 months in a year so 16-12=4. Add 1 more year to 5 and your left with 4 months.
Answer:
Explanation:
The sequence is: 
, where n = term wanted
Identify the transformation that was applied to this letter.
D. Rotation about the origin
Answer:
C. 
Step-by-step explanation:
Let be 
the excedent on annual sales and 
the bonus factor, to determine the bonus amount a composition of 
is 
must be done. That is:
Hence, the right answer is C.
