Hello from MrBillDoesMath!
Answer:
(y+ 5/6)^2 = 169/36
Discussion:
3y^2+5y=12 => (divide both sides by 3)
y^2 + (5/3)y = 12/3 = 4 =>
Add\subtract the square of one-half the coefficient of y:
( y^2 + (5/3)y + (5/6)^2) - (5/6)^2 =4 (add (5/6)^2 to both sides)
(y^2 + (5/3)y + (5/6)^2 = 4 + (5/6)^2 =>
(y+ 5/6)^2 = 4 + (5/6)^2 = 4 + (25/36) =
(144+25)/36 = 169/36
So
(y+ 5/6)^2 = 169/36
We can also solve for y by taking the square root of both sides:
(y + 5/6) = sqrt(169/36)
= +\- 13/6 ( as 169 = 13*13 and 36 = 6*6)
y = (-5/6) +\- 13/6
Thank you,
MrB
A.In Step 2, 90 should be multiplied by the quantity 10 – 12, not by 10.
correct:
90(10 - 12) = 90 · 10 - 90 · 12 or 90(10 - 12) = 90 · (-2)
Let the numbers be a, b and c in order of size.
b is 14 as it is in the middle
c - a = 12 so c = a + 12
(a + b + c)/3 = 10
a + b + c = 30
a + 14 + (a + 12) = 30
2a + 26 = 30
2a = 30 - 26 = 4
a = 2
c = 2 + 12 = 14
So the three numbers are 2, 14 and 14
Answer:
0.010423315 x 109 = 1.04 x 107 people
Step-by-step explanation:
(19 x 109) = (6.7 x 109) (e100k)
and solve for k
(19 x 109) / (6.7 x 109) = e100k
2.835820896 = e100k
ln 2.835820896 = ln e100k
ln 2.835820896 = 100k
k = (ln 2.835820896) / 100
Answer:
13 weeks
Step-by-step explanation:
1500 - 785 = 715
715/55 = 13