-.2x^2 + 12 x + 11; solve for x
(-.2x + 1)(-.2x + 11)/-.2 -.2(x - 5)(-.2x + 11)/-.2 (x - 5)(-.2x + 11) cannot solve a problem without an equality, best we can do is factor.
not correct
can you set both equal to 0 and solve?
use the quadratic formula
ybarrap your factor is incorrect
looks like it's right to me...
a is -.2 b is 12 c is 11 \[x=(-12\pm \sqrt{152.8})/-.4\]
anyways, since (x-5)(-.2x+11)=0, then either x-5 or -.2x+11 equal zero. Set each equal to 0 and solve for x- you will get 2 different answers
ok if it is correct multiply it out and you should get the original as an answer.
But precal, try foiling ybarrrap's final answer. It works out.
if you use the formula, x = -12 \[\pm\] 135.2 / -.4
x=60.90307428 x=-.9030742807
WAIT NO IT DOESN"T
-5*11 does not equal 11... whoops... :)
the last term is -5 times 11 which is -55 we need +11
Not everything can be factored but the quadratic formula works 100% of the time.
so i get -12 plus or minus square root of 135.2/ -.4. How can you even check this to see if its correct?
Yes graph the function and check where it crosses the x axis. It should cross at those locations.
Do you find the decimal of the square root? How can you graph?
The x values represents the solutions or roots of the functions. Do you have a graphing calculator?
yep
yes everyone is right, sep me.
:)
When I used the quadratic formula x = -12+ square root of 135.2 / -.4 or -12 - square root of 135.2/ -.4. How do I graph this?
Do I find the decimals of these numbers, which is -41.069 and 17.069 and graph these numers
The values you've determined are the values where the parabola (i.e. quadratic) crosses the x-axis (i.e. x-intercepts). Since the first term is negative (i.e. -.2), the parabola opens downward. The peak occurs between these two x-intercepts you just found. The average of these two intercepts is where the peak occurs (i.e. x = 30, y = 191)
Knowing this information, you can write your quadratic in the form of a parabola (this is exactly your equation): 191.-0.2 (x-30.)^2 = y
The vertex (max point, point of symmetry) is (30,191)
Parabolas are similar, just like triangles. They scale and keep their "figure", just like triangles. This should not be a surprise since Parabolas are derived from the parallel lines to the side of a right-circular cone -- looking at a cone on edge, it's a triangle.
So if you use this equation to model the expected number of ticket sales for each day, how do you answer with a square root or do you make it a decimal?
If x is the number of days, and y the number of tickets then plug in x > 0 and solve for y. Only allow y > 0 for your answer. No other conversion or restriction required.
Join our real-time social learning platform and learn together with your friends!