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
Answer:
a ratio is a comparison of two numbers or measurements
the objects being compared are called the terms of the ratio.
if the tow terms are different units this is called a rate.
example:
David covers 600 miles in 8 hours and John covers 380 miles in 5 hours. Who is driving faster ?
solution:
Distance covered by David in 1 hour is
= 600 / 8
= 75 miles per hour
Distance covered by John in 1 hour is
= 380 / 5
= 76 miles per hour
When we compare the above unit rates (Distance covered in 1 hour), John is driving faster than David.
Answer:
perimeter = 16x+9x+8x+11
simplified perimter = 33x+11
Step-by-step explanation:
this isnt even close to 100 pts but okay
Using the first derivative test, it is found that the graph is increasing on the interval is (-5, ∞).
<h3>What is Function?</h3>
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.
Here, the function is given by:
f(x) = x²/2 + 5x + 6
On differentiating both sides, with respect to x we get
f'(x) = x + 5
Then, we test the signal of the derivative, which is the first derivative test.
x + 5 ≥ 0
x ≥ -5
Thus, It is found that the Function is increasing on the interval is (-5, ∞).
Learn more about Function from:
brainly.com/question/12431044
#SPJ1
Answer:
48
Step-by-step explanation:
