Answer:
If an equation has no solution, then the solution set is the _<u>empty set</u>_ and
is denoted by _<u>{ } </u><u>or </u><u>∅</u>__.
Answer:
The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.
Step-by-step explanation:
We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

I can now cross-multiply by multiplying numerator and denominator from each ratio.

I now solve for y by dividing by 15.

The original price was $33.34.
Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.
Answer:
Part a) 
Part b) 
Part c) Standard Daily Rate plus Mileage plan
Step-by-step explanation:
Part a) What would be the cost of the Standard Daily Rate plus Mileage plan?
Let
y ----> the total cost
x ----> the number of kilometers
we have that
For a Luxury car

For x=400 km
substitute


Part b) What would be the cost of the Unlimited Mileage plan?
we know that
The Unlimited Mileage plan for a Luxury car is $105 per day (see the table)
The trip are three days
so
To find the total cost multiply $105 by 3

Part c) Which is the better plan?
Compare

therefore
For this trip the better plan is the Standard Daily Rate plus Mileage plan
If the problem youre solving as the value of the x and y you can make those linear equations, however u can make them with only the x val
Answer:
-9h² - 12h - 3
Step-by-step explanation:
Follow the FOIL method:
FOIL = First, Outside, Inside, Last
Multiply the terms together:
First: 9h * -h = -9h²
Outside: 9h * -1 = -9h
Inside: 3 * -h = -3h
Last: 3 * -1 = -3
Combine like terms: 9h² + (-9h - 3h) - 3
9h² - 12h - 3
-9h² - 12h - 3 is your answer.
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