Solution
To determine the vertical translation
We need to determine the amplitude
The amplitude is

Since the minimum is 4
Hence, the Vertical shift is 3+4 = 7
Part B
Given f(x) = 4 sin(θ - 45) + 8
The vertical translation is 8
Answer:
3 ounces.
Step-by-step explanation:
We have been given that Me Zachary brings 264 ounces of water to basketball practice for the players to drink. Mr Zachary divides the water equally among the 9 players. We are asked to find the amount of water that is left over.
To find the amount of water that is left over, we will take out the largest multiple of 9 from 264.
Let us divide 264 by 9.
9) 264(29
<u> 18</u>
84
<u> 81</u>
3
We can see that remainder in 3, therefore, 3 ounces of water will be left over.
Answer:
Initial 18 degrees Celsius
After 20 minutes, 5 degrees Celsius
Step-by-step explanation:
It’s initial temperature can be calculated as at the time when x = 0
When x = 0, the temperature is -6+24 = 18 degrees Celsius
This is because the exponent part equals 1 since anything raised in to the power of zero is one.
After twenty minutes,
T(x) = -6 +24e^-0.038(20)
T(x) = -6 + 11.224 = 5.224
And that is approximately 5 degrees Celsius to the nearest degree
Answer:
Mary and Duke have 3,172 stamps altogether
1,364 + 1,808 = 3,172
Answer:
So m= - 11
Step-by-step explanation:
* THe vertex is (-2,6), then the equation is y = a(x+2)^2 +6, a is to find out.
* A root is 7 means x=7 and y=0, then :
0 = a(7+2)^2 +6
0=81a+6 or a= -6/81 = -2/27.
* We have the equation: y= -2/27 (x+2)^2 +6=-2/27 [ (x+2)^2-81]
y= -2/27 (x-7)( x+11).
So m= - 11
Hope that you understand.