Answer: 19
If the floor space of the garage is increased by 50%, that means its area is increased by that amount
So we have 228 + .50(228) = 228 + 114 = 342 ft²
Since the original garage is square-shaped with an area of 228 ft², then we can find the length of each side. If we let x = the side length, then we have:
x² = 228
x = 15.1 ft
Assuming that the garage will remain square-shaped with sides of uniform dimensions, then we can label each side of the expanded garage as 15 + y. We need to solve for y. Again, we use the area formula. Remember that the expanded garage will have an area of 342 ft², we now have:
(y + 15)² = 342
y² + 30y + 225 = 342
y² + 30y - 117 = 0
This can be solved using the Quadratic Formula. Remember that dimensions must always be positive. Once you determine y, then you will know what the length will be of the expanded garage
Not 100% but 3.5 second it takes to return to the ground.
1)
x^2 + 4 = 0 Subtract 4 from each side
x^2 = -4
You cannot square a number to get a negative number. No real solution. (If you have learned about imaginary numbers, answer is 2i)
2)
<span>x^2+x-6=0 Factor. 3 and -2 add up to 1, and multiply to -6
(x+3)(x-2) = 0
Zero Product Property: Which numbers would put a zero in one of the parentheses?
x = -3 or x=2
3) </span><span>x^2-6x+7=0
Completing the Square:
Take half of b (-6), square it, and add/subtract that coefficient
x^2 - 6x + 9 - 9 + 7 = 0
(x -3)^2 - 2 = 0 Add 2 to both sides
(x-3)^2</span> = 2 Take the square root of both sides
<span>(x-3) = </span>√2 or -√2 Add 3 to both sides
<span>x = 3 + </span>√2 or 3 - √2<span>
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Let the number of bags to be sold be x, then
5.5x ≥ 5225
x ≥ 950
Therefore, it need to sell at least 950 bags to make a profit of no less than $5225.
