Solve for x over the real numbers:
2 x^2 - 4 x - 3 = 0
Divide both sides by 2:
x^2 - 2 x - 3/2 = 0
Add 3/2 to both sides:
x^2 - 2 x = 3/2
Add 1 to both sides:
x^2 - 2 x + 1 = 5/2
Write the left hand side as a square:
(x - 1)^2 = 5/2
Take the square root of both sides:
x - 1 = sqrt(5/2) or x - 1 = -sqrt(5/2)
Add 1 to both sides:
x = 1 + sqrt(5/2) or x - 1 = -sqrt(5/2)
Add 1 to both sides:
Answer: x = 1 + sqrt(5/2) or x = 1 - sqrt(5/2)
Answer:
33 boxes.
Step-by-step explanation:
We have been given that a freight elevator can safely hold no more than 2000 pound. Weight of elevator operator is 165 pound. Weight of each box is 55 pound.
Let n be number of boxes. We will write an inequality as weight of elevator operator and weight of all boxes should be no more than 2000 pound.

Now we will solve our inequality to find number of boxes that could be moved safely at one time.



Therefore, 33 boxes can be moved safely at one time.
Answer:
B. 1 and D. 3.
Step-by-step explanation:
The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).
The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.
The solutions are at x = 1 and x = 3.
Check:
3 × 1 - 1 = 2¹ 3 × 3 -1 = 2³
3 - 1 = 2 9 - 1 = 8
2 = 2 8 = 8
There are only 1*26 and 2*13 so there is no answer unless you allow decimals.
Answer:
X 1 for Y 4
X 5 for Y 8
X 2 for Y 5
Step-by-step explanation:
We can substitute the values of Y in the formula and then subtract three from both sides.