Answer:
23
Step-by-step explanation:
Answer:
9/16
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + 3 x - 3 = 0
Divide both sides by 2:
x^2 + (3 x)/2 - 3/2 = 0
Add 3/2 to both sides:
x^2 + (3 x)/2 = 3/2
Add 9/16 to both sides:
x^2 + (3 x)/2 + 9/16 = 33/16
Write the left hand side as a square:
(x + 3/4)^2 = 33/16
Take the square root of both sides:
x + 3/4 = sqrt(33)/4 or x + 3/4 = -sqrt(33)/4
Subtract 3/4 from both sides:
x = sqrt(33)/4 - 3/4 or x + 3/4 = -sqrt(33)/4
Subtract 3/4 from both sides:
Answer: x = sqrt(33)/4 - 3/4 or x = -3/4 - sqrt(33)/4
I think the answer is 19683
Answer:
t = 6 days
Step-by-step explanation:
We can model both cases with linear equations in the form:
y = ax + b
Sophie was on page 20 and she reads 10 pages per day, so her equation is:
S = 20 + 10t
Jackson was on page 50 and he reads 5 pages per day, so his equation is:
J = 50 + 5*t
The graph of those equations are in the image attached (The blue line is for Sophie and the orange line is for Jackson)
To find after how many days they will be on the same page, we can make S = J and then find the value of t:
20 + 10t = 50 + 5t
5t = 30
t = 6 days
B. If you were to solve for a, the a values would be 12 and 16 in the equation.