Answer:
Step-by-step explanation:
The inequality that represents the situation is
where 
is the time in seconds
So, the time after which there will be less than 100 gallons of water is .
<span>You could set up the relation as a table of
ordered pairs. Then, test to see if each element in the domain is
matched with exactly one element in the range. If so, you have a function!</span>
Answer:
(-2,1)
Step-by-step explanation:
add 3 to x,(-5 + 3 = -2) and subtract 2 from y,(3 - 2 = 1)
Answer is 39 explanation I’m smart
2x2 + -4x + -3 = 0 Reorder the terms: -3 + -4x + 2x2 = 0 Solving -3 + -4x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -1.5 + -2x + x2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -2x + 1.5 + x2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -2x + x2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2x + x2 = 0 + 1.5 -2x + x2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -2x + x2 = 1.5 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = 1.5 + 1 Reorder the terms: 1 + -2x + x2 = 1.5 + 1 Combine like terms: 1.5 + 1 = 2.5 1 + -2x + x2 = 2.5 Factor a perfect square on the left side: (x + -1)(x + -1) = 2.5 Calculate the square root of the right side: 1.58113883 Break this problem into two subproblems by setting (x + -1) equal to 1.58113883 and -1.58113883.
Subproblem 1
x + -1 = 1.58113883 Simplifying x + -1 = 1.58113883 Reorder the terms: -1 + x = 1.58113883 Solving -1 + x = 1.58113883 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 1.58113883 + 1 Combine like terms: -1 + 1 = 0 0 + x = 1.58113883 + 1 x = 1.58113883 + 1 Combine like terms: 1.58113883 + 1 = 2.58113883 x = 2.58113883 Simplifying x = 2.58113883
Subproblem 2
x + -1 = -1.58113883 Simplifying x + -1 = -1.58113883 Reorder the terms: -1 + x = -1.58113883 Solving -1 + x = -1.58113883 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -1.58113883 + 1 Combine like terms: -1 + 1 = 0 0 + x = -1.58113883 + 1 x = -1.58113883 + 1 Combine like terms: -1.58113883 + 1 = -0.58113883 x = -0.58113883 Simplifying x = -0.58113883
Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.58113883, -0.58113883}
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