The answer is 0 < x <span>≤ 7
</span>
First, we know that width = x
Which means that length = x +18
So, the possible equation for the Table's area is
X (X + 18) ≤ 175
X^2 + 18x - 175 <span>≤ </span>0
Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <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
Since the width couldn't be negative, we can change -25 with 0,
so it become
</span> 0 < x ≤ 7
I'm not following. What's the question?
That would be 8, its in the center so forget 9 or 7.
Answer:
This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6
Step-by-step explanation:
Step 1
Given the equation;
(x-6)(x+3)
Step 2
To determine the values of x that make the equation positive, the equation can be expressed as;
(x-6)(x+3)>0
x-6>0/(x+3)
x-6>0
x>0+6
x>6
This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6
