Answer:
Horizontal shift:
For the parent function f(x) and a constant h, the function given by g(x) = f(x-h) can be sketched by shifting f(x) h units horizontally.
The values of h determines the direction of shifts:
If :
- h>0, the parent graph shifts h units to the right
- h < 0, the parent graph shifts h units to the left.
Vertical shifts:
For the parent function f(x) and a constant k, the function given by g(x) =f(x) +k can be sketched by shifting f(x) k units vertically.
The value of k determines the direction of shifts;
if:
-
k > 0, the parent graph shifts k units upward, and
- k < 0, the parent graph shifts k units downward.
Therefore, the values of h and k in y=|x-h|+k affect the graph of y=|x| tells us how far the graph shifts horizontally and vertically.
For this case we have that each student takes 8 \ frac {3} {4} minutes to perform and play 3 songs. Then, we convert the mixed number to a fraction:
Thus, each student takes
minutes.
If there are 9 students in the recital then we have:
minutes.
Thus, the recital lasts at least 78.75 minutes.
Answer:
The recital lasts at least 78.75 minutes.
Simply take a ruler with centimeters on it and measure your desk.Tell the teacher you counted how many centimeters.
Answer to written question:
3x + 10x + 7x = 180
Combine like terms
20x = 180
Divide by 20
x = 9
Smallest angle 3x = 3*9 = 27 degrees
Answer to question in picture:
30/6x-2 = 36/5x + 13
Cross multiply
30(5x + 13) = 36(6x-2)
Distribute
150x + 390 = 216x - 72
Subtract 150x
390 = 66x - 72
Add 72
462 = 66x
Divide by 66
x = 7
Answer:
Step-by-step explanation:
.125 for 1 button
6 dollars for 48 buttons
