Answer:
Step-by-step explanation:
A 180 degree rotation around the origin would be the same things as a reflection across the x-axis followed by a reflection across the y-axis.
This would result in the new location being (-3, -2) The x coordinate is -3.
Answer:
Solution : Third Option
Step-by-step explanation:
The first step here is to make all the signs uniform. As you can see the third inequality has a less than sign, which we can change to a greater than sign by dividing negative one on either side, making the inequality y > - 7.
Now take a look at the third option. Of course the y - coordinate, 3, is greater than - 7, so it meets the third requirement ( y > - 7 ). At the same time 3 > 1( 2 ) > 2, and hence it meets the second requirement as well. 3 > - 3( 1 ) + 4 > - 3 + 4 > 1, meeting the first requirement.
Therefore, the third option is a solution to the system.
9514 1404 393
Answer:
$400
Step-by-step explanation:
If the price after taking 25% off is $300, then $300 is 75% of the original price.
$300 = 0.75p
$300/0.75 = p = $400
The original price was $400.
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<em>Check</em>
0.25 × $400 = $100
$400 -100 = $300 . . . . the price after taking 25% off
Answer:
Step-by-step explanation:
Charging by the quarter mile is for purpose of making that particular taxi service seem cheaper than the others when they post a per mile charge. If this taxi company is charging .50 per 1/4 mile, they are charging $2 per mile. So we will base our equation on the per mile charge, not the per quarter-mile charge. If x is the number of mile driven (our uknown), and we have a flat fee of $2.50 regardless of how many miles we are driven, the cost function in terms of miles is
C(x) = 2x + 2.50
If we are driven 5 miles, then
C(5) = 2(5) + 2.50 so
C(5) = 10 + 2.50 and
C(5) = $12.50
It would cost $12.50 to be driven 5 miles
