2% as a reduced fraction is 2/100 = 1/50
So the first one would be 171/50 and the second would be -7/20
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>
Answer:
The maximum height of the watermelon is 74 feet.
Step-by-step explanation:
The watermelon reaches its maximum height when its velocity is zero. Mathematically speaking, velocity is the first derivative of the function height, that is:
(1)
Where 
is the velocity, in feet per second.
If we know that 
and 
, then the time associated with maximum height is:
(2)
Now we evaluate the function height at time found in the previous step: ()
The maximum height of the watermelon is 74 feet.
Answer:
always true
Step-by-step explanation:
Given
2(x + 3) = 5x + 6 - 3x ← distribute left side
2x + 6 = 2x + 6
Since both sides are equal then any real value of x is a solution.
Thus the equation is always true
