?? anyone know thank you❤️
1 answer:
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Answer:
Step-by-step explanation:
Looking at the graph, we can see the domain to be from (0 , 2π).
Now we have to find one period that corresponds to cos(x).
The half-period of cos(x) for this graph appears to be pi/3 and adding another pi/3 gets us 2pi/3 to be our cosine period.
b = 2pi/3
a is the same range as cos(x). Range: (0,0)
y = [a] * cos ([b]*x)
y = [1] * cos([2pi/3]x)
Answer:
The inverse is g(x)=-x+5.
Both f and g have domain and range all real numbers.
In interval notation that is
Step-by-step explanation:
f(x)=-x+5 is a linear function.
Since isn't f(x)=constant then it is diagonal so this means the range is all real numbers.
For any linear function, the domain will be all real numbers.
So to find the inverse of y=-x+5, you interchange x and y and resolve for y.
y=-x+5
(interchange)
x=-y+5
(solve for y)
Subtract 5 on both sides:
x-5=-y
Multiplying both sides by -1:
-x+5=y
So the inverse is g(x)=-x+5. To find find the domain and range of the inverse function given you already did it for the original function, the sets are swapped. The sets were the same here because they were both all real numbers.
Answer:
$104.27 is the amount at 3% and $20895.73 is the amount at 4.4%
Step-by-step explanation:
We are given that Josie owes $21000 in student loans.
Let x be principal at 3% rate of interest
Time = 1 year
Formula:
A=1.03x
Interest = Amount - Principal
Interest = 1.03x-x=0.03x
So, (21000-x) is the principal at 4.4% rate of interest
Formula:
A=21924-1.044x
Interest = 21924-1.044x-21000-x=924-2.044x
The total interest she owes for one year was $714.00
So, 0.03x+924-2.044x=714
x=104.27
So, $104.27 is the amount at 3%
The principal at 4.4% rate of interest =21000-x=21000-104.27=20895.73
Hence $104.27 is the amount at 3% and $20895.73 is the amount at 4.4%