Answer:
Step-by-step explanation:
Given the function
We can find the inverse function by exchanging x and y, and then solve for y.
Replace x with y.
square both sides
Hence,
<span>We can safely assume that 1212 is a misprint and the number of seats in a row exceeds the number of rows by 12.
Let r = # of rows and s = # of seats in a row.
Then, the total # of seats is T = r x s = r x ( r + 12), since s is 12 more than the # of rows.
Then
r x (r + 12) = 1564
or
r**2 + 12*r - 1564 = 0, which is a quadratic equation.
The general solution of a quadratic equation is:
x = (-b +or- square-root( b**2 - 4ac))/2a
In our case, a = 1, b = +12 and c = -1564, so
x = (-12 +or- square-root( 12*12 - 4*1*(-1564) ) ) / 2*1
= (-12 +or- square-root( 144 + 6256 ) ) / 2
= (-12 +or- square-root( 6400 ) ) / 2
= (-12 +or- 80) / 2
= 34 or - 46
We ignore -46 since negative rows are not possible, and have:
rows = 34
and
seats per row = 34 + 12 = 46
as a check 34 x 46 = 1564 = total seats</span>
A) 8 chocolate chip cookies
B) The ratio of sugar to oatmeal is 2:3 because there are 12 sugar and 18 oatmeal. 12/18 simplified is 2/3.
I'm not to sure if I know the other ones but number 12th Is 6
Step-by-step explanation:
Since the two lines intersect at point Q(x,y) the x & y values of both lines must be equal at point Q. so 3x+14=7x-10. Solving for x yields x = 6.
Answer:
900
Step-by-step explanation:
Hope this helps!
