9514 1404 393
Answer:
x = 8 1/3
Step-by-step explanation:
Put the known values into the equation and solve for x.
f(x) = 3x -1
24 = 3x -1 . . . . . use 24 for f(x)
25 = 3x . . . . . . . add 1 to both sides
25/3 = x . . . . . . divide both sides by 3
The input is x = 8 1/3.
You have to move variables on one side and constants on the other
aby - b + b = c + b
aby = c + b
y = (c + b)/ab
Answer:
Answer: D (3 or 4)
Step-by-step explanation:
This is a stupid question. The teacher who asked this needs to go back to school.
A = x⁴ - 9y²
That's going to be a number. As long as it's positive we can choose any length for our rectangle L and we can compute the width by W=A/L. So the correct answer is the dimensions are L by (x⁴ - 9y²)/L.
They don't want the correct answer. They want you to factor this expression. We'll do it, but don't believe for a second this factoring somehow constrains the possible dimensions of some rectangle.
We use the difference of two squares, a²-b² = (a+b)(a-b)
A = x⁴ - 9y² = (x²)² - (3y)² = (x²+3y)(x²-3y)
Answer: x²+3y by x²-3y
A pair of numbers is a solution of y = -3x if the second number, y, is -3 times the first number, x.
What about the pair (-1, 4)? If you replace x with -1, you get y = -3(-1) = 3, not 4. So (-1, 4) is NOT a solution.
For each answer choice, you have to check all three of the given pairs.
(0, 0) is a solution because if x = 0, then y = -3(0) = 0.
(3, -9) is a solution because if x = 3, then y = 3(-3) = -9.
Can you finish it?
