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>
1/2 to 1/4
You can read fractions a few different ways:
1/2 = 50% or .50
1/4 = 25% or .25
If you divide 50 (1/2) by 2, you get 25 (1/4)
So to find 1/4 of 1/2, you would divide, and in this case by 2.
Hope that helped!
Answer:
8 ohms
Step-by-step explanation:
given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use either of the given conditions
y = 10 when x = 12 or y = 5 when x = 24, hence
k = 10 × 12 = 120
y = ← equation of variation
when x = 15, then
y = = 8
It’s a 75 percent decrease
Answer:
384 possible combinations are available.
Step-by-step explanation:
Types of sandwiches = 3
Types of bread = 2
Available toppings = 6
Choices for each topping = 2
Total combinations available = 3.2.2.2.2.2.2.2
= 3(128)
= 384