2x+y=10 Y=5x-11 Solve the system of equations by substitution
2 answers:
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Answer:
The graph stretches horizontally by a factor of 4 and shifted up by 1 unit.
Step-by-step explanation:
Given:
The function is given as:
The function is given as:
The function 'g' can be rewritten as:
So, the 'x' value of 'f' is multiplied by and 1 unit is added to the function to get the function 'g'.
Therefore, as per transformation rules:
1.
- If C > 1 ⇒ The graph compresses in the x direction.
- If 0 < C < 1 ⇒ The graph stretches in the x direction by factor of 1/C.
2.
- If C > 0 ⇒ The graph shifts up by 'C' units.
- If C < 0 ⇒ The graph shifts down by 'C' units.
Therefore, the graph of stretches in the x direction(horizontally) by a factor of 4 and shifts up by 1 unit to get
.
Answer:
Both are correct with respect to the final purchase price.
Lisa is correct, in terms of appropriate accounting procedure
Step-by-step explanation:
The total amount paid by Lisa's method and by Ross's method will be the same. The multiplication factors in each case are (1-0.15) = 0.85 and (1 +0.08) = 1.08. The commutative property of multiplication tells you the product is the same, regardless of the order in which the factors are applied.
The order of application of tax and discount does not matter for the final price.
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As a practical matter, Lisa is correct. The store will owe sales tax to the government based on the net sales of the store. If the cash register records the sale as $495, then extra accounting steps are required so the store can avoid paying tax on that amount. However, if the cash register records the sale as 15% less than $495, the tax paid to the government is easily justified.
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The attachment shows the intermediate computed values in both cases. The final value is the same.
