Divide 4.10 by 7 to get about 0.59 (round up because you can't get part of a penny) and that gives you 1/8 of a yard's price. Then multiply that by 8 to get a full yard for $4.72.
Answer:
The value of
which makes the equation true.
Step-by-step explanation:
Given the equation

We have to find the value of r for which the equation must be true.
solving the equation

Multiply both sides by -11


Therefore, the value of
which makes the equation true.
<u>VERIFICATION:</u>
Putting
in the equation


∵ 
L.H.S = R.H.S
Therefore, the value of
which makes the equation true.
.0000914
Since it is negative you go behind the .
so you would go 5 spaces behind the point
#1) 4.445 ft
#2) yes
Explanation
#1) The maximum height is the y-coordinate of the vertex. We first find the axis of symmetry, given by x=-b/2a:
x=-0.17/2(-0.005) = -0.17/-0.01 = 17
Plugging this into the equation,
y=-0.005(17²)+0.17(17)+3 = 4.445
#2) Substituting 30 into the equation,
y=-0.005(30²) + 0.17(30) + 3 = 3.6
The ball will 3.6 in the air, so yes, it will clear the 3 ft tall net.
Both A and C would be solutions to the equation.
In order to solve for this you must first get the equation equal to 0.
2x^2+5x+8=6 ----> subtract 6 from both sides
2x^2 + 5x + 2 = 0
Now knowing this we can use the coefficients of each one in descending order of power as a, b and c.
a = 2 (because it is the coefficient to x^2)
b = 5 (because it is the coefficient to x)
c = 2 (because it is the end number)
Now we can plug these values into the quadratic equation.





or -1/2 for the first answer

or -2 for the second answer