The range of the equation is 
Explanation:
The given equation is 
We need to determine the range of the equation.
<u>Range:</u>
The range of the function is the set of all dependent y - values for which the function is well defined.
Let us simplify the equation.
Thus, we have;
This can be written as 
Now, we shall determine the range.
Let us interchange the variables x and y.
Thus, we have;
Solving for y, we get;
Applying the log rule, if f(x) = g(x) then 
, then, we get;
Simplifying, we get;
Dividing both sides by 
, we have;
Subtracting 7 from both sides of the equation, we have;
Dividing both sides by 2, we get;
Let us find the positive values for logs.
Thus, we have,;
The function domain is
By combining the intervals, the range becomes
Hence, the range of the equation is
There is not alot information to answer the question.
Answer:
I think B.
Step-by-step explanation:
Answer:
a) 50.24 ft²
b) 150.72 ft²
Step-by-step explanation:
Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet.
The distance across a circle is also called a diameter, Hence,
D = Diameter = 8 ft
The Area of a circle = πr²
r = Diameter/2 = 8ft/2 = 4ft
π = 3.14
Hence,
The Area of the circle = π × (4 ft)²
= 50.24 ft²
a) Approximately the amount of wall the circle will cover is 50.24 ft².
b) How much area will he cover if he painted a circle on three walls?
This is calculated as:
1 wall = 50.24 ft²
3 walls = x
Cross Multiply
x = 3 × 50.24 ft²
x = 150.72 ft²
Answer: Box A, 2.777
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Explanation:
When using a calculator or long division, you should find that
7/9 = 0.7777...
where the 7s go on forever
So we can say that 7/9 = 0.777 approximately. You could argue that the last '7' would round up to an '8' and we could say 7/9 = 0.778; however, I'll stick to the first value so that it matches with the answer.
Since 7/9 = 0.777, this means 2 & 7/9 = 2 + 7/9 = 2 + 0.777 = 2.777 which is box A.
