Answer:
a.) f(x) = -⅙(x+3)²+6
Step-by-step explanation:
The maximum value, our vertex, is at point (-3,6).
We can insert this value into the vertex form of a quadratic function and then solve for a as follows...

a equals -1/6... We can input this into the original equation we used...
f(x) = -1/6(x+3)^2+6
Good luck on the bellwork ;)
There is an app called photo math it might help you
41.00
25% off $45 is 33.75
You then add 7.25 to 33.75 which is $41
Answers:
- x = 21.25
- y = 22.5
- z = 23.75
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Work Shown:
AP = arithmetic progression, which is the same as arithmetic sequence
d = common difference
- x = 20+d
- y = 20+2d
- z = 20+3d
Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.
So that must mean 25 is the same as 20+4d
20+4d = 25
4d = 25-20
4d = 5
d = 5/4
d = 1.25
and therefore,
- x = 20+d = 20+1.25 = 21.25
- y = 20+2d = 20+2*1.25 = 22.5
- z = 20+3d = 20+3*1.25 = 23.75
We could convert these to fraction form, but I find decimal form is easier in this case.