What is the value of the fourth term in a geometric sequence for which a1 = 30 and r = 1/2?.
1 answer:
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For this case, the parent function is given by:
We apply the following function transformation:
Vertical compressions:
To graph y = a * f (x)
If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
We have then:
Horizontal translations:
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
We have then:
Answer:
Vertical compression by factor of 1/2. Horizontal displacement 3 units to the left. Vertical displacement 2 units up.
We apply the following function transformation:
Vertical compressions:
To graph y = a * f (x)
If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
We have then:
Horizontal translations:
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
We have then:
Answer:
Vertical compression by factor of 1/2. Horizontal displacement 3 units to the left. Vertical displacement 2 units up.
Answer:
The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats
Step-by-step explanation:
The given parameters can be summarized as:
Where: x = Soybeans and y = Oats.
So, the system of equations are:
The best way to solve this, is using graph
Plot the following equations on a graph, and get the points of intersection:
From the attached graph, we have:
Substitute each of the values of x's and y's in the cost function to get the minimum cost:
The values of x and y that gives the minimum cost is:
and the minimum cost is:
Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats
