Answer:
We start with the equation:
(x^2 - 1)/(x + 1) = 2
We want to rewrite this in standard form.
We can multiply both sides by (x + 1) to get:
((x^2 - 1)/(x + 1))*(x + 1) = 2*(x + 1)
x^2 - 1 = 2*(x + 1) = 2*x + 2
Now we can move all the terms to one side to get:
x^2 - 1 - 2 - 2*x = 0
x^2 - 2*x - 3 = 0
And this is a standard quadratic equation, that we can solve by using the Bhaskara's formula, this will give us the solutions:
Then the two solutions are:
x = (2 + 4)/2 = 3
x = (2 - 4)/2 = -1
Answer:
6 glasses.
Step-by-step explanation:
Mark drank a total of 10 glasses of water and iced tea yesterday.
Each glass of water contained 8 ounces.
Each glass of iced tea contained 12 ounces.
All together he drank 96 ounces.
Given a system of simultaneous equations:
x + y = 10
8x + 12y = 96
This depicts that there are x glasses of water and y glasses of iced tea.
Solving the simultaneous equations:
x + y = 10 ... (i)
8x + 12y = 96 ... (ii)
Multiplying (i) by 8 and (ii) by 1 gives;
8x + 8y = 80 ... (i)
8x + 12y = 96 ... (ii)
Subtracting (i) from (ii) gives;
4y = 16 , y = 16/4 = 4
So mark drank 4 glasses of iced tea and 10 - 4 = 6 glasses of water.
First 3/8, second 2/3, and third 19/24
F(x) = 2(x)^2 + 5 * sqrt(x + 2)
f(2) = 2(2)^2 + 5 * sqrt(2 + 2)
f(2) = 2 * 4 + 5 * sqrt(4)
f(2) = 8 + 5 * 2
f(2) = 8 + 10
f(2) = 18
Answer:
2432
Step-by-step explanation:
If you mean rectangular prism and those measurements are its x, y, and z lengths then the area is 8 times 16 times 19 = 2432