Answer
Mandisa uses more balloon per animal.
Amira and Mandisa made the same amount of balloon animals.
Explanation
Mandisa uses 5 balloons per animal.
You can find this out by putting the difference between two of the y values (output, dependent variable, in this case balloons) over the difference between two of the x values (input, independent variable, in this case animals). Let's take 225 and 125 from the y value and 20 and 40 from the x value. Mandisa uses 225-125=100 balloons per 40-20=20 animals. Mandisa uses 5 balloons per animal. 5 is more than 4 (how many balloons Amira uses for each animal), so Mandisa uses more balloons per animal.
Amira and Mandisa made the same amount of balloon animals.
Now you can divide the number of balloons they had at the beginning by the number of balloons per animal to find out how many animals each person made. Amira started with 260 balloons and used 4 balloons for each animal. Amira made 260/4=65 animals.
If Mandisa used 100 balloons to make 20 animals, she would have had 225+100=325 balloons at the beginning. Mandisa made 325/5=65 animals.
The type of transformation that preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x) is vertical translation.
<h3>
What is vertical translation?</h3>
Vertical translation of a graph is done by moving the base graph up or down in the y-axis direction. Each point on a graph is moved k units vertically to translate the graph by that many units.
The vertical translation is the movement of the curve along the y-axis by a certain number of units without altering the function's shape or domain.
The function's form is preserved in the case of vertical translation.
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The number of days d, he must use the gym to make the membership worthwhile is at least 21 days
Equation
Non members:
Cost of swimming per day = $5
Cost of exercise per day = $9
Total = $5 + $9
= $14
Members:
Yearly fee = $300
Exercise fee per day = $4
Swimming fee = $0
The number of days d, he must use the gym to make the membership worthwhile = $300 ÷ 14
= 21.42857142857142
Approximately,
21 days
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Answer:
x = -3
Step-by-step explanation:
Given expression is,
(4x - 6) - 4x² = -2x(2x - 3)
4x - 6 - 4x² = -4x² + 6x
4x - 6 = 6x
6x - 4x = -6
2x = -6
x = -3
