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lana [24]
3 years ago
5

What is 1/9 (2m - 16) = 1/3 (2m +4)

Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

-7

Step-by-step explanation:

Hope it helped!

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Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x<6
Oksi-84 [34.3K]

Answer:

-1/3

Step-by-step explanation:

When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:

9x^2-15x

Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:

9x^2-15x=6

Subtract 6 from both sides:

9x^2-15x-6=0

Divide everything by 3:

3x^2-5x-2=0

Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.

-6 and 1 works. Thus:

3x^2-6x+x-2=0\\3x(x-2)+1(x-2)=0\\(3x+1)(x-2)=0

Find the x using the Zero Product Property:

3x+1=0 \text{ or }x-2=0\\x=-1/3\text{ or }x=2

Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.

So, the first zero is:

x=-1/3

Assume that the correct symbol is >. Thus,

x>-1/3

Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:

9x^2-15x

0 is indeed less than six, so our first correct solution is:

x>-1/3

For the second one, do the same thing. We have:

x=2

Assume that the correct symbol is <. Thus:

x

Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation

9x^2-15x

Again, this is correct. Therefore, x<2 is also the correct inequality.

So together, we have:

x>-1/3 \text{ and } x

Together, we can write them as:

-1/3

(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)

6 0
3 years ago
What is the missing term? (10x-4x^2)-(7x+?)=3x-6x^2
mafiozo [28]
The answer is 2x<span>^2
Because everything on the right of the minus sign will turn negative

</span>
6 0
3 years ago
Read 2 more answers
Find the volume of an oblique cone.
AURORKA [14]

V = (1/3) π r² t

= (1/3) π (10 cm)². 16 cm

= (1/3) π (100 cm²). 16 cm

= (1/3) π (1600 cm³)

= (1600π)÷3 cm³ (B)

8 0
3 years ago
Bryan placed bricks in a row to make a boarder that was 16.9 feet long. Each brick is 1.3 feet long. How many bricks are in the
love history [14]
The answer to your question is A. 13
3 0
3 years ago
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I need help on this question
gladu [14]

i think A is the answer and why cant you just click the little ask for help button?

8 0
3 years ago
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