What value of x is in the solution set of 9(2x + 1) < 9x -18?

Mathematics

1 answer:

Anettt [7]3 years ago

4 0

Answer:

Step-by-step explanation:

18x+9 < 9x-18

18x< 9x-27

9x<-27

x<-3

You might be interested in

Find the coordinates of P that partitions segment AB , where A (2,3) and B (14,9), so that AP:PB is a 1:2 ratio. Also, find the

Paladinen [302]

For Point P, you need to recognize that a 1:2 ratio means that AP will be 1/3 of AB and PB will be 2/3 of AB.

So you need to find the change in the x-values, 14-2 = 12, and then add 1/3 of that change to the x-value of A.

Then you need to find the change in the y-values, 9-3 = 6, and then add 1/3 of that change to the y-value of A.

For the bisector, that's another way to say you'll split AB into two even pieces. For this, it's the same as what we just did, but you need to find 1/2 of the two respective changes (1/2 of the x-change and 1/2 the y-change).

7 0

3 years ago

Hey can you please help me posted picture of question

MAXImum [283]

Answer:
The solutions of the equation are:
4/3 and 5/8

Explanation:
To get the solution of the equation, we can either solve it algebraically or graphically.

1- algebraic solution:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
24x² - 47x + 20 = 0
By comparison, we can find that:
a = 24
b = -47
c = 20

Now, to get the roots, we will use the quadratic equation shown in the attached image.

Substituting in the equation, we would find that:
either x = $\frac{-(-47) + \sqrt{(-47)^2-4(24)(20)} }{2(24)} = \frac{4}{3}$
or x = $\frac{-(-47) - \sqrt{(-47)^2-4(24)(20)} }{2(24)} = \frac{5}{8}$

2- graphical solution:
To get the solution means to get the values of the x-intercepts.
Graphing the function (see attached image), we would find that the solutions are:
0.625 which is equivalent to 5/8
and 1.3333 which is equivalent to 4/3

Hope this helps :)