Answer:
Option B is correct
Step-by-step explanation:
Given is a cos funciton.
Period = 3
Max = 20 and minimum =0
Hence centre line is y = 1/2 (max+min)
i.e. y =10 is the central line
Let the funciton be of the form
y = a cos (bx+C)+d
We got d = 10...i
Period =3
Hence b = 
... ii
Amplitude = a = distance of max from central line = 20-10 =10...iii
Since reflection over x axis, sign of a =negative
a=-10
Since no horizontal shift, c=0 ... iv
Put to gether the function is
19) 15/a = 3/2
Start by cross multiplying....
3a = 30
Divide both sides 3
a = 10
21) 2/7 = 4/d
2d = 28
d= 14
23) 8/p = 3/10
80 = 3p
p = 26.66
25) 2 / -5 = 6/t
2t = -30
t = -15
Answer:
Difference = $0.01
Step-by-step explanation:
Given that:
Cost of half gallon = $1.82
Cost of one gallon = $3.68
First we will convert gallons to ounces.
1 gallon = 128 ounces
half gallon = 64 ounces
Now,
we will find unit rate of both.
Unit rate of half gallon = 
Unit rate of one gallon = 
Difference= 0.03 - 0.02 = $0.01
Hence,
Difference = $0.01
Yes.
Since 16 isn't a factor of 42, your GCF would be 2.
Hope that helps. -UF aka nadia
Answer:
The range of the function in ascending order is:
Range R = {-2, 0, 2, 4}
Step-by-step explanation:
Given the function
f(x) = 2-2x
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
- Domain refers to all the possible sets of input values on the x-axis
As the domain of the function is given such as
Domain D = {-1, 0, 1, 2}
<u>Determining the range </u>
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.
As the domain is
Domain D = {-1, 0, 1, 2}
FOR x = 1
substitute x = -1 in the function
f(x) = 2-2x
f(-1) = 2-2(-1) = 2+2=4
so
at x = -1, y = 4
FOR x = 0
substitute x = 0 in the function
f(x) = 2-2x
f(-1) = 2-2(0) = 2-0=2
so
at x = 0, y = 2
FOR x = 1
substitute x = 1 in the function
f(x) = 2-2x
f(-1) = 2-2(1) = 2-2=0
so
at x = 1, y = 0
FOR x = 2
substitute x = 2 in the function
f(x) = 2-2x
f(-1) = 2-2(2) = 2-4=-2
so
at x = 2, y = -2
Thus combining all the output or y values correspond to the given input values, we get the range of the function.
Thus, the range of the function in ascending order is:
Range R = {-2, 0, 2, 4}
