Solve a proportion 2x-3/3=x-2/2
2 answers:
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The Municipality we be able to set up 597 street name boards with R2 left in the budget.
Data;
- Amount Budgeted = R80,000
- Cost of each board = R134
The number of streets boards that can be produced in the budget is calculated by dividing the total amount budgeted by the cost of each street board. This is done mathematically as
We would have a total of 597 street names on the budget with some amount left.
We can calculated this by multiplying 597 by 134 and then subtracting the value from R80,000
The Municipality we be able to set up 597 street name boards with R2 left in the budget.
Learn more on division of numbers here;
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.