Answer:
Dilation(Reduction)
Step-by-step explanation:
Solve the following system:{-9 x = 5 - 2 y | (equation 1)15 x = 2 y - 11 | (equation 2)
Express the system in standard form:{-(9 x) + 2 y = 5 | (equation 1)15 x - 2 y = -11 | (equation 2)
Swap equation 1 with equation 2:{15 x - 2 y = -11 | (equation 1)-(9 x) + 2 y = 5 | (equation 2)
Add 3/5 × (equation 1) to equation 2:{15 x - 2 y = -11 | (equation 1)0 x+(4 y)/5 = (-8)/5 | (equation 2)
Multiply equation 2 by 5/4:{15 x - 2 y = -11 | (equation 1)0 x+y = -2 | (equation 2)
Add 2 × (equation 2) to equation 1:{15 x+0 y = -15 | (equation 1)0 x+y = -2 | (equation 2)
Divide equation 1 by 15:{x+0 y = -1 | (equation 1)0 x+y = -2 | (equation 2)
Collect results:Answer: {x = -1 {y = -2
Please note the { are supposed to span over both equations but it interfaces doesn't allow it. Please see attachment for clarification.
The <em><u>correct answer</u></em> is:
D) The amount a person pays for gas compared with the number of gallons purchased
Explanation:
A constant rate of change means that for every x, y increases the same amount.
In the situation "The amount a person pays for gas compared with the number of gallons purchased
," the independent quantity, or x-value, is the number of gallons, and the dependent quantity, or y-value, is the amount paid. Since gas has a set price per gallon, for every gallon purchased, the total amount paid goes up the same amount. This means it has a constant rate of change.
Two events are independent if whether an event occurs or not doesn't affect the possibility of whether the other event occurs or not.
<span>"A bag contains red marbles and blue marbles. A red marble is selected followed by a blue marble, at random, without replacement": Since the selection is without replacement, the events are dependent.
"</span><span>A coin is flipped twice": Independent
</span>
<span>"A bag contains nickels and dimes. A nickel is selected followed by a dime, at random, with replacement.": Since the selection is with replacement, the events are independent.
</span><span>"A spinner contains 4 equal sectors. Each sector is labeled A, B, C, and D. The spinner is spun twice.": Independent</span>