Answer:
64 ounces
Step-by-step explanation:
Given.
Represent blue with b and yellow with y
b = 3
y = 8
Required
What's the value of y when b = 24
Represent the given and required parameters as ratio
3 : 8 and 24 : y
Turn the ratio to an equation
3 : 8 = 24 : y
Represent as fraction
⅜ = 24/y
Multiply both sides by y
⅜y = 24
Make y the subject
y = 24 * 8/3
y = 64
Hence:
64 ounces of yellow paints is required for 24 ounces of blue paints
Let's write the general form of the sine curve:
, where,
- A is the amplitude. Also, if A is negative, curve reflects about x axis
- B is the compression/stretching factor. It changes the period when it is a value other than 1.
- C is the phase shift. It translates curve left or right. Negative value shifts right and positive value shifts left.
- D is the vertical shift. It translates curve up or down. Negative value shifts down and positive value shifts up.
Let's check the 4 choices.
A.
Since this curve's A is -2, its amplitude is 2 and range is from -2 to 2. BUT since D value is -3, it shifts vertically 3 units down making the range from -1 to -5. Clearly choice A is not true.
B.
This graph is the graph of shifted 3 units DOWN since D is negative. This choice isn't true.
C.
Because of the - (minus) sign in front of the function, the function is reflected about x-axis, but amplitude doesn't change. Since A value is 2, amplitude is 2. This is true.
D.
Period depends on the B value. Here, B value is 1, so period is normal as the parent function of a sine curve, which is , NOT . So this is not correct.
ANSWER: C is true
Solution: The function that represents the Grace earning each week is defined as , where is in dollar and is the time in hours. domain of the function is [10,20].
Explanation:
Let, Grace works for h hours per week.
For one hour she get $9.
For h hours she get .
So, the function that represents the Grace earning each week is defined as .
It is given that she works from 10 to 20 hours per week, therefore the value of h lies between 10 to 20. Hence the Grace's earnings for each week is defined as and the domain of the function is [10,20].