Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.
The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.
Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:
y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14
Then the vertex is (-3, -14).</span>
To solve for x, the first thing to do is to distribute the 4 to (x-2). When you do this, you should get 4x-8=4x+10
Then, subtract 4x from both sides and then you are left with -8=10. Because -8 is not equal to 10, meaning the equation you are left with is not a true statement, the answer to this would be that there are no real solutions.
It might be D.Given any two points A and B, there is exactly one line AB that passes through them. hope that help...
The volume of a rectangular box is equal to the area of its base times the vertical height. Thus,
V = Ah = 80
Since the base is a square with side x, then the area is equal to x². Hence, we can express h in terms of x.
80 = x²h
h = 80/x²
Now, each lateral side of the rectangular box is in the shape of a rectangle with a length of h and a width of w. Hence, the equation for the total cost would be:
Total Cost = Cost per area of lower base + Cost per area of upper base + 4(Cost per area of lateral side)
Total Cost = 0.45x² + 0.28x² + 4(0.10h*x)
Total Cost = 0.73x² + 0.4hx
Since h = 80/x²,
Total Cost = 0.73x² + 0.4(80/x²)(x)
Total Cost ($) = 0.73x² +32/x
Gross pay = 765
federal withholding tax = 68
Social security tax = 765 * 6.2% = 47.43
Medicare tax = 765 * 1.45% = 11.09
State tax (22% of federal tax) = 68 * 22% = 14.96
765 - 68 - 47.43 - 11.09 - 14.96 = 623.52
<span>Lauren's net pay is 623.52 so the answer is D.</span>
