7 dollars and 30 cents becuse 4 wuarters equals 1 dollar plus the 5 other equals 6 dollars and then you have 2 quarters left which equals 6 dollars and 50 cents plus the 8 dimes/80 cents and 6 dollars and 50 cents plus 80 cents equals 7 dollars and 30 cents
The first number: x
The second number: x + 3
The third number 2 * x - 11
Sum of all numbers: 65
We can write it down as an equation:
65 = x + 3 + x + 2x - 11
65 = 4x + 3 - 11
65 = 4x - 8 / + 8 (both sides)
73 = 4x / ÷ 6 (both sides_
x = 18,25
Doublecheck:
The first number: 18,25
The second number 18,25 + 3 = 21,25
The third number: 2 * 18,25 - 11 = 36,5 - 11 = 25,5
Sum of all numbers: 18,25 + 21,25 + 25,25 = 65, so it's correct :)
The content of the square root must be greater than or equal to zero. Determine the conditions on x that make this true.
As written, you require
.. x ≥ 0
If you intend
.. √(x -1) ∈ ℝ
Then
.. x -1 ≥ 0
Solve this inequality by adding 1.
.. x ≥ 1
418,200 - 326,700 = 91,500
Part A
Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis
Part B
Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°
Part C
Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:
- First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
- First, all the points have been moved to the right by a fixed distance, thus changing the x-coordinate. Then, the resulting image has been reflected along the x-axis, thus changing the y-coordinate of all the points
Part D
Represents 2 'Translations'. Here the image has been shifted by a fixed distance in both the downward direction and the right direction. Thus, it has resulted in change of both x and y coordinates.
