Parallel to y+5x=4, through (2,2); slope intercept form
2 answers:
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Answer:
f(x)=x-6
Step-by-step explanation:
Given : Parent function :
To Find : If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?
Solution:
Parent function :
Shift the given function down by 6 units.
Rule : The graph f(x) shifts down by b units
So, f(x)→f(x)-b
So, Shift the given function down by 6 units.
So, f(x)→f(x)-6
f(x)=x
So, x→x-6
So, the new function is f(x)=x-6
Answer:
The probability that the result is positive is P=0.04475=4.475%.
Step-by-step explanation:
We have the events:
D: disease present
ND: disease not present
P: test positive
F: test false
Then, the information we have is:
P(D)=0.005
P(P | D)=0.99
P(P | ND)=0.04
The total amount of positive test are the sum of the positive when the disease is present and the false positives (positive tests when the disease is not present).
The probability that the result is positive is P=0.04475.
Given:
A circle of radius r inscribed in a square.
To find:
The expression for the area of the shaded region.
Solution:
Area of a circle is:
Where, r is the radius of the circle.
Area of a square is:
Where, a is the side of the square.
A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.
So, the area of the square is:
Now, the area of the shaded region is the difference between the area of the square and the area of the circle.
Therefore, the correct option is (a).