A zero, or a solution of the quadratic function is c) x = 6 1/3
Write -54x as a difference
9x^2 + 3x - 57x - 19
Factor 3x out
{ 9x^2 + 3x } - 57x - 19
3x (3x + 1)
Factor -19 out
3x (3x + 1) -19 (3x + 1)
Group the equations
( 3x - 19 ) ( 3x + 1 )
Solve for the zeroes
(3x+1) = 0
-1 -1
3x = -1
3x / 3 = x
-1 / 3 = -1/3
x = - 1/3
(3x - 19) = 0
+19 +19
3x = 19
3x / 3 = x
19 / 3 = 6 1/3
x = 6 1/3
Okay so basically, i’m pretty sure you have to make them catch up with each other, if i’m correct), so if it’s 30 to each student plus 2500 then 2 students is 60 bucks, 3 students is 90 and so on so forth......then if 1 student - 60 then 2 is 120 and vice versa ya know. So keep adding on the amount due for each student plus the extra amount which doesn’t change and make them catch up with each other. Keep on adding student after student and adding the fee until they match up. Sorry it’s not the exact answer but i hope this explains it... if i’m right
Answer:
(B)72 fluid ounces
Step-by-step explanation:
To convert cups to fluid ounces, Sari wrote the equivalent ratios.

Let the question mark be represented by x.
We then have:

We conclude that there are 72 fluid ounces in 9 cups.
Answer:there are 16 goats and 22 chickens.
Step-by-step explanation:
Let x represent the number of goats in the field.
Let y represent the number if chicken in the field.
After a quick count, you determine there are 38 heads and 108 feet in the field. A goat has one head. A chicken also has one head. It means that
x + y = 38
A goat has four legs. A chicken has 2 legs. It means that
4x + 2y = 108 - - - - - - - - - - - 1
Substituting x = 38 - y into equation 1, it becomes
4(38 - y) + 2y = 108
152 - 4y + 2y = 108
- 4y + 2y = 108 - 152
- 2y = - 44
y = - 44/ - 2
y = 22
x = 38 - y = 38 - 22
x = 16
Answer:
Answer is 0.44
Step-by-step explanation:
44/100=0.44