Answer:
--- Vertex
--- Axis of symmetry
Step-by-step explanation:
Given

Solving (a): The vertex
For an equation written in

The vertex is:

By comparison:
and 

So, the vertex is:

Solving (b): The axis of symmetry
For an equation written in

The axis of symmetry is:
x = h
In (a):

So:

Answer:
The answer to your question is
Part A. Archimedes grades 6 1/4 tests per day
Part B. 8 19/32 days
Part C. 6 26/29 days
Step-by-step explanation:
Part A
Total time = 6 2/5 days
Number of tests = 40 tests
Process
1.- Convert the mixed fraction to improper fraction
6 2/5 = (30 + 2) / 5 = 32/5
2.- Divide 40 by 32/5
40/1 / 32/5 = (40 x 5) / (32 x 1)
= 200 / 32
Simplify
100 / 16 = 50/8 = 25/4
3.- Convert 25/4 to mixed fractions
6
4 25
1
25/4 = 6 1/4
Archimedes grade 6 1/4 tests per day
Part B
15 more tests
Total time = 32/5
Total tests = 40 + 15 = 55
Process
1.- Divide 55 by 32/5
55 / 1 / 32 /5 = (55 x 5) / (32 x 1)
= 275 / 32
2.- Convert 275/32 to a mixed fraction
8
32 275
256
19
Result 8 19/32 days
Part C
1.- Divide 55 by 7.25
50 / 7.25 = 5000 / 725
6
725 5000
- 4350
650
Result 6 650/750 = 6 26/29
0.0045, Bc that negative exponent makes the decimal point move to the left!
Heeelllllloooooo! :D
Okay this is a very similar question to the one I answered earlier....
I'll show you step by step so you will be able to do this in the future on your own
(y - y₁) = m(x - x₁) -----> point-slope form
(y + 6) = (-0.38)(x - 5)
y + 6 = -0.38x + 1.9
<u>y = -0.38x - 4.1</u><u />
There you go!
<u>Please vote me for Brainliest if there is a second answer!!!</u> ^__^