Answer:
625 ft^2
Step-by-step explanation:
Given
--- perimeter
Required
The largest area
The perimeter is calculated as:
So, we have:
Divide both sides by 2
Make L the subject
The area is calculated as:
Substitute
Open bracket
Differentiate with respect to W
Set to 0; to get the maximum value of W
Collect like terms
Divide by -2
So, the maximum area is:
An equation is formed of two equal expressions. The equation of the exponential graph is A=100(0.5)ˣ.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation of an exponential function is given by the formula,
y = A (B)ˣ
Now as per the graph, there are two points (1, 50) and (2, 25).
50 = A (B)¹
50 = AB
A = 50/B
Substitute another point in the equation,.
25 = A (B)²
25 = (50/B) (B)²
25 = 50B
B = 0.5
Substitute the value of B,
A = 50/0.5 = 100
Hence, the equation of the exponential graph is A=100(0.5)ˣ.
Learn more about Equation:
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Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Remember that the denominator cannot be equal to zero
so
The value of x cannot be equal to x=-2
<em>Simplify the numerator</em>
----> by difference of squares
substitute
simplify
The domain is all real numbers except the value of x=-2
The y-intercept is the point (0,-6) ---> value of y when the value of x is equal to zero)
The x-intercept is the point (2,0) ---> value of x when the value of y is equal to zero)
therefore
The graph in the attached figure
Answer: 23.6
Step-by-step explanation:
The admission fee at a fair is $2.00 for children and $4.00
for adults.
On Saturday 2,500 people entered the fair and $7,000.00 were
collected.
How many children and how many adults attended? Give your
answer, using x for children, y for adults.
Form of: x =, and y =
Let K = no. of children
Let A = no. of adults
2500 people mean
Kids + Adults
K + A = 2500
K = 2500 – A
2K + 4A = 7000
K + 2A = 3500
(2500 – A) + 2A = 3500
A = 3500 – 2500
(A = 1000, adults)
K = 2500 – A
K = 2500 -1000
(K = 1500, Kids)
CHECK:
1500*2 = $3000
1000*4 = $4000
<span>(Total = $7000, people.). </span>
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<span>Hope this helps:</span>
