55 693
Assignments Done
97,4%
Successfully Done
In November 2017
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Trigonometry Question for Kristen Woods

Question #22342
Solve, write your answer in interval notation and graph the solution set.

15a. 2x^2-5x less than or equal to 3

15b. (x+3)/(x-4) greater than 0
Expert's answer
2x^2 - 5x <=3
First solve the equation 2x^2 - 5x = 3
2x^2 - 5x - 3 =0
D = 25 + 4*2*3= 49 = 7^2
x1 =(5-7)/(2*2) = -2/4 = -0.5
x2 =(5+7)/(2*2) = 12/4 = 3
As the coefficient at x^2 is 2>0 he branches of theparabola
y = 2x^2 - 5x -3
are directed upwards, whence the inequality
2x^2 - 5x <=3
Has the following solution
x belongs to[-0.5, 3]
Solution set:
--------*===========================*--------------->
-0.5 3

Here ===== means solution interval,
and * means that the corresponding point belogns to thatinterval15b. (x+3)/(x-4) greater than 0
Solution:
(x+3)/(x-4)> 0
This inequality is equivalent to the following system:
(x+3)(x-4)>0
x-4 <>0 ( <> means not equal )
(x+3)(x-4)>0
x <>4 ( <> means not equal )
This first inequality has the solution
x in (-3,4)
and this does not contains the point 4, so
(-3,4)
is the solution of the initial inequality
Solution set: --------o====================o--------------->
-3 4

Here ===== means solution interval,
and o means that the corresponding point does not belongto that interval

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question