Answer: The significance of the number 82.75 in the equation = amount charged per acre in the park.
Step-by-step explanation:
Given: The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars.
In linear equation y=mx+c, = rate of change of y with respect to x.
Here Coefficient of a = rate of change of C with respect to a.
i.e. Coefficient of a =amount charged per acre in the park.
Hence, The significance of the number 82.75 in the equation = amount charged per acre in the park.
Answer:
(7, 2 )
Step-by-step explanation:
Given the 2 equations
3x - 2y = 17 → (1)
x - 3y = 1 → (2)
Rearrange (2) expressing x in terms of y by adding 3y to both sides
x = 1 + 3y → (3)
Substitute x = 1 + 3y in (1)
3(1 + 3y) - 2y = 17 ← distribute and simplify left side
3 + 9y - 2y = 17
3 + 7y = 17 ( subtract 3 from both sides )
7y = 14 ( divide both sides by 7 )
y = 2
Substitute y = 2 into (3) for corresponding value of x
x = 1 + 3(2) = 1 + 6 = 7
Solution is (7, 2 )
Point (-5,-3) Slope -2
Y - y1 = m (x - x1)
y + 3 = -2 (x + 5)
y + 3 = -2x - 10
y = -2x -13
The line will also go through the point (0, -13)
S(p) = 400 - 4p + 0.00002p^4
D(p) = 2800 - 0.0012p^3
S(p) = D(p)
400 - 4p + 0.00002p^4 = 2800 - 0.0012p^3
0.00002p^4 + 0.0012p^3 - 4p - 2400 = 0
p = $96.24
3:2
for every 3 ounces of flour, you need 2 ounces of sugar
