So the original lawn has an area
24 × 32 = 768 the new lawn will have area 425
this means the area of the sidewalk will be 768-425=343
now the sidewalk is a certain width of we draw it out and label it x we see the lawn has an area of
use the quadratic formula to solve. then you will know how wide the sidewalk is. I will attach picture
Answer:
Bobby's economic profits for the day is $0.60.
Step-by-step explanation:
Bobby sells 20 glasses of lemonade for $0.20 per cup.
Amount earned = 
dollars
The average total cost is $0.17.
So, difference in selling amount and average = 
dollars
Therefore, Bobby's economic profits for the day is = 
dollars
Hence, the answer is $0.60.
Answer:
3.25 pounds per acre
Step-by-step explanation:
We want to find how much pounds of seed is need per acre. In division, with a numerator and denominator, this works perfectly, with how much we need (of seed) per acre translating into 
, with the line representing the per. We can plug this into a calculator to get 3.25 pounds per acre, or 
Answer: y = one sixteenth(x − 4)^2 + 2
Step-by-step explanation:
If the parabola is written as:
y = a*x^2 + b*x + c
then if the graph opens up, then a must be positive, so we can discard the third and fourth options, we remain with:
y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)
y = 1/6*(x + 4)^2 - 2 = 1/6x^2 + (8/6)*x + (16/6 - 2)
the vertex (4, 2)
then
x = -b/2a = 4.
this means that a and b must be of different sign, then the only correct option can be:
y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)
where:
x-vertex = (8/6)/(2/6) = 4 as we wanted.
when we evaluate this function in x = 4 we get
y = 1/6*( 4 - 4)^2 + 2 = 2.
So the correct option must be: y = one sixteenth(x − 4)2 + 2
