Answer:
The possible parking lengths are 45.96 feet and 174.031 feet
Step-by-step explanation:
Let x be the length of rectangular plot and y be the breadth of rectangular plot
A rectangular parking lot must have a perimeter of 440 feet
Perimeter of rectangular plot =2(l+b)=2(x+y)=440
2(x+y)=440
x+y=220
y=220-x
We are also given that an area of at least 8000 square feet.
So, 
So,
So,
General quadratic equation : 
Formula : 
So, The possible parking lengths are 45.96 feet and 174.031 feet
Answer:
B. 200 doses
Step-by-step explanation:
Given,
1 dose is required for 100 mg,
Since, 1 mg = 0.001 g,
⇒ 100 mg = 0.1 g
⇒ 1 dost is required for 0.1 g,
Thus, the ratio of doses and quantity ( in gram ) is 
Let x be the doses required for 20 grams,
So, the ratio of doses and quantity is 
Hence, 200 doses can be obtained from 20 grams of the drug.
Option 'B' is correct.
Answer will be D. Absolute value can never be negative.
Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
