Hey There!! ☄️ The general vertex to The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.
Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.
From the choices we only have:
The graph of f(x) = x2 is made narrower
They are acute angels cause there smaller than 90
Isolate the variable by dividing each side by factors that don't contain the variable. p=q/2r
The answer if im correct should be 8,621,000 if i did the math right...
Let x and y represent the hourly rates of the first and second mechanics, respectively.
.. x + y = 205 . . . . . . . the sum of the two rates was $205 per hour
.. 5x +15y = 1925 . . . . they charged a total of $1925
Divide the second equation by 5, then subtract the first equation.
.. x +3y = 385
.. (x +3y) -(x +y) = (385) -(205)
.. 2y = 180
.. y = 90
.. x = 205 -y = 115
The first mechanic charged $115 per hour; the second charged $90 per hour.
