Answer:
x=8
Step-by-step explanation:
2x-3-4(2x-3)=17-7x
2x-3-8x+12=17-7x
-6x+9=17-7x
x= 8
To determine the equation of the parabola of the arch, we need to know the general equation for a parabola and its elements. The arch is facing down so the general equation written in its vertex form would be as follows:
y - k = - a(x - h)^2
where (h,k) represents the vertex of the parabola and a represents the focus and tells you where the graph opens. If a is positive then it opens upward and if its is negative, it opens downward.
For this given situation, the vertex is at point (0,0) or at the origin so that h and k are zero.
y= - a(x)^2
To determine the value of a, we use the measurements given above. We make use of the maximum height and the span of the parabola. The point we will be using would be (18/2 , 96 ).
y= - a(x)^2
96= - a(9)^2
a = -32/27
So, the equation of the parabola would be
y= - (32/27)(x)^2
Solve for <span>x</span> by simplifying both sides of the equation, then isolating the variable.<span>x=<span>5</span></span>
The first option :
Multiply the first equation by 8 and the second equation by 2
would not result in the elimination of the variables in this system
28/6= 4.66
4.66 kilometers per liter
1/4.66=0.215
0.215 liters per kilometer