The largest radius for the swimming pool is 15.1 feet
Step-by-step explanation:
Step 1:
Circumference of the circular swimming pool built by Dan = 95 feet
We need to determine the largest radius for the pool.
Step 2 :
Circle's circumference is given by 2πr
Where r represents the radius
This shows that the radius is in direct proportion to the circumference. Hence the radius corresponding to the maximum circumference will be the largest possible radius
So we have 2πr = 95
=> r = 
=> r = 
× 
where 
=> r = 15.1 feet (rounded off to tenth of a foot)
Step 3 :
The largest radius for the swimming pool is 15.1 feet
36 divided by 3/4 will equal how many servings are in the cooler
Solve for x:8 (13 - 6 x) + 6 x = 0
8 (13 - 6 x) = 104 - 48 x:
6 x + 104 - 48 x = 0
6 x - 48 x = -42 x:
-42 x + 104 = 0
Subtract 104 from both sides:
(104 - 104) - 42 x = -104
104 - 104 = 0:
-42 x = -104
Divide both sides of -42 x = -104 by -42:
(-42 x)/(-42) = -104/(-42)
(-42)/(-42) = 1:
x = -104/(-42)
The gcd of 104 and -42 is 2, so -104/(-42) = -(2×52)/(2 (-21)) = 2/2×(-52)/(-21) = (-52)/(-21):
x = (-52)/-21
Multiply numerator and denominator of (-52)/(-21) by -1:
Answer: x = 52/21
To find the inverse of a function, you swap the x and y values. So instead of y=4x+8, it becomes x=4y+8. Now you re-solve for y, and that’s your answer:
x=4y+8
x-8=4y
1/4x-2=y
So h(x)=1/4x-2, or the first option
