Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
</span>
Step-by-step explanation:
We must realise that the image of the quadratic curve shown is not showing the full curve. Instead it extends further out.
For all quadratic curves, the domain is all x-values.
We see here that this quadratic curve has an absolute minimum at y = -4 and the curve stretches towards positive infinity.
Hence the range is y >= 4.
The correct answers are the 1st and 5th options.
Answer:
The Answer is: 10.
Step-by-step explanation:
2x - 4 = x + 6
Subtract x from both sides:
2x - x - 4 = x - x + 6
x - 4 = 6
Add 4 to both sides:
x -4 + 4 = 6 + 4
x = 10
Subtracte 198 then add what was taken off to 5
