The asymptotes of the reciprocal function are x = 3 and y = 4. Also, the domain is x < 3 or x > 3 and the range is y < 4 or y > 4
<h3>How to determine the values of a, c, d and k?</h3>
The function is given as:
f(x) = -2[1/0.5(x -3)] + 4
A reciprocal function is generally represented as:
f(x) = a[1/(x -c)] + k
So, we have:
a = -2
c = -3 * 0.5
c = -1.5
k = 4
d = 0
Hence, the values of a, c, d and k are -2, -1.5, 0 and 4
<h3>The asymptotes</h3>
We have:
f(x) = -2[1/0.5(x -3)] + 4
Set the radical to 0
y = 0 + 4
Evaluate
y = 4
Set the denominator to 0
x - 3 = 0
Evaluate
x = 3
Hence, the asymptotes are x = 3 and y = 4
<h3>The graph of the function</h3>
See attachment for the graph of the function f(x) = -2[1/0.5(x -3)] + 4
The table of values is
x y
-4 4.6
-2 4.8
2 8
4 0
From the graph of the function, the domain is x < 3 or x > 3 and the range is y < 4 or y > 4
Read more about functions at:
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Hi there!
To start, squares are a shape in which all of its sides are congruent to one another. Knowing the length of one side would mean that you would know the length of all the other sides.
Because you know that one side measures 22 cm, you can conclude that all the other sides of the square are also at a length/width of 22 cm.
Next, you will find the area of the square.
Because the area formula is Area=Length * Width, you can easily find the area of the square by multiplying 22*22 since the length and width of any square is the same.
When you simplify 22*22, you should get 484.
Therefore, the area of the square canvas would be 484 cm squared.
Hope this helps and have a marvelous day! :)
Step-by-step explanation:
if x is equal to - 1
Then
2x² + 5x + 6
= 2* ( -1)² + 5 * (- 1) + 6
= 2 - 5 + 6
= 8 - 5
= 3
Hope it will help :)❤
Let X = smallest angle
largest 3x
middle=2x. add the 3 angles of any triangle and you get ,180
x+2x+3x=180
6x=180
x= 30
smallest =30
middle=60
largest=90
Answer: No, Cammie is not correct. She can mow 
in one hour (See explanation).
Step-by-step explanation:
Convert the mixed number to an impoper fraction:
1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.
2. The denominator does not change.
Then:
Let be "x" the acres Cammie can mow in one hour.
You know that she can mow 
in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):
Solving for "x", you get:
Convert from improper fraction to mixed number:
1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.
2. The remainder is 1. This will be the numerator.
3. The denominator does not change.
Then:
Therefore, she can mow in one hour.
