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Mathematics 11 Online
OpenStudy (anonymous):

-.2x^2 + 12 x + 11; solve for x

OpenStudy (ybarrap):

(-.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.

OpenStudy (precal):

not correct

OpenStudy (anonymous):

can you set both equal to 0 and solve?

OpenStudy (precal):

use the quadratic formula

OpenStudy (precal):

ybarrap your factor is incorrect

OpenStudy (anonymous):

looks like it's right to me...

OpenStudy (precal):

a is -.2 b is 12 c is 11 \[x=(-12\pm \sqrt{152.8})/-.4\]

OpenStudy (anonymous):

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

OpenStudy (precal):

ok if it is correct multiply it out and you should get the original as an answer.

OpenStudy (anonymous):

But precal, try foiling ybarrrap's final answer. It works out.

OpenStudy (anonymous):

if you use the formula, x = -12 \[\pm\] 135.2 / -.4

OpenStudy (precal):

x=60.90307428 x=-.9030742807

OpenStudy (anonymous):

WAIT NO IT DOESN"T

OpenStudy (anonymous):

-5*11 does not equal 11... whoops... :)

OpenStudy (precal):

the last term is -5 times 11 which is -55 we need +11

OpenStudy (precal):

Not everything can be factored but the quadratic formula works 100% of the time.

OpenStudy (anonymous):

so i get -12 plus or minus square root of 135.2/ -.4. How can you even check this to see if its correct?

OpenStudy (precal):

Yes graph the function and check where it crosses the x axis. It should cross at those locations.

OpenStudy (anonymous):

Do you find the decimal of the square root? How can you graph?

OpenStudy (precal):

The x values represents the solutions or roots of the functions. Do you have a graphing calculator?

OpenStudy (anonymous):

yep

OpenStudy (ybarrap):

yes everyone is right, sep me.

OpenStudy (ybarrap):

:)

OpenStudy (anonymous):

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?

OpenStudy (anonymous):

Do I find the decimals of these numbers, which is -41.069 and 17.069 and graph these numers

OpenStudy (ybarrap):

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)

OpenStudy (ybarrap):

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

OpenStudy (ybarrap):

The vertex (max point, point of symmetry) is (30,191)

OpenStudy (ybarrap):

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.

OpenStudy (anonymous):

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?

OpenStudy (ybarrap):

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.

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