You would best do this by completing the square on the quadratic and subbing in the vertex they give you, like this:
Since the y coordinate of the vertex is 1/2 and we need to solve for c, set the
equal to 1/2 and solve for c, which is the whole point of what we are doing, right?
and
and c = 4. So that's our answer!
Answer:
You = bronze
Your brother = silver
Your sister = gold
Step-by-step explanation:
Your marks: 40/60
Your brother's marks: 46/60
Your sister's marks: 49/60
You can simplify the fractions, but you don't have to:
40/60 = 2/3
46/60 = 23/30
49/60 = 49/60
Now, divide each of the numerators by the denominators (turn the fraction into a decimal).
2/3 = 0.6667
23/30 = 0.7666667
49/60 = 0.8166667
(Note that these are all approximations as the real answers go on forever)
Lastly, multiply them all by 100 to get the percent.
0.6667 x 100 = 66.67% - bronze
0.76667 x 100 = 76.667% - silver
0.816667 x 100 = 81.6667% - gold
4s+7a=861
s+a=168
This can be solved using either elimination or substitution. I am going to use substitution.
Solve s+a=168 for s
s=168-a
Replace 168-a for s in 4s+7a=861
4(168-a)+7a=861
672-4a+7a=861
Solve for a
672+3a=861
3a=189
a=63
Substitute 63 for a in s=168-a
s=168-63=105
So, s=105 student tickets and a=63 adult tickets
Answer:
25
Step-by-step explanation:
#14 is 4
#15 is 11 and
#16 is adding 3
