Which expression is equivalent to ( xy -6)2 for all values of x and y where the expression is defined?
2 answers:
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Answer:
x > 36 in
Step-by-step explanation:
Let x = the width of the picture frame.
Then x + 6 = the length of the frame.
The formula for the perimeter P of a rectangle is'
P = 2l + 2w.
So, the condition is
2l + 2w > 156
2(x + 6) + 2x > 156 Distribute the 2
2x + 12 + 2x > 156 Combine like terms
4x + 12 > 156 Subtract 12 from each side
4x > 144 Divide each side by 4
x > 36
The perimeter of the picture frame will be greater than 156 in if x > 36 in.
Answer
Find out the total cost for their dinner.
To prove
As given
For dinner, Abelita chooses the Italian salad that costs $3.99 before tax.
Franco chooses the fettuccini alfredo that costs $7.17 before tax.
Total cost of the dinner before tax = $ 3.99 + $7.17
= $ 11.16
As given
If the sales tax is 5 percent .
5 % is written in the decimal form.
= 0.05
5% tax on the dinner cost = 0.05 × 11.16
= $0.558
Total cost of the dinner = Total cost of the dinner before tax + tax cost
= $11.16 + $0.558
= $ 11.718
= $11.72 (approx)
Therefore the total cost for their dinner is $ 11.72 (approx)
