I believe it is C because I counted the dots in the shaded region.
Hope it is correct :)
Answer:
18
Step-by-step explanation:
Factors of 54
1, 2, 3, 6, 9, 18, 27
Factors of 72
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36
Factors of 18
1, 2, 3, 6, 9, 18.
Greatest Common Factor
We found the factors and prime factorization of 72, 54 and 18. The biggest common factor number is the GCF number.
So the greatest common factor 72, 54 and 18 is 18.
Her teacher would be 42. you would take 14 * 3 and get the teachers age.
Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
The inverse of this function is f(x) = 2x - 12.
You can find the inverse of any function by switching the f(x) and x values in the equation. Then you can solve for the new f(x) value. The result is your inverse function. The work for this one is below.
f(x) = 1/2x + 6 ----> switch f(x) and x
x = 1/2f(x) + 6 ----> subtract 6
x - 6 = 1/2f(x) ----> multiply by 2
2x - 12 = f(x) ----> change the order for consistency.
f(x) = 2x - 12
