Ok got it. If you have any questions just ask in the chat below :)
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
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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
To find the inverse of a function, we swap x and y then solve for y
So with this, we take y = 3x + 4 and make it x = 3y + 4. Now we solve for y
x = 3y + 4
Subtract 4 from both sides
x - 4 = 3y
Divide both sides by 3
Answer:
$26
Step-by-step explanation:
15+15 +30
30% of 20 is 6
add the tax and tip to the initial $20 and you have $26
