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Gnom [1K]
3 years ago
10

Could someone help me on this math question !

Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0
The answer is 1/3 chances, There are 12 tables in total, 4 red and 8 blue. You can Render that down to 1 red and 2 blue, now there are 3 tables and only 1 is red, therefore the answer is 1/3 chance
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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
Pls and pls what is the easy way to solve maths problems or how can I solve maths problems with ease?
solong [7]

Answer:

Ok here is my pro tip:

Step-by-step explanation:

Use both halfs of you brain at the same time, causing you to passout and have your head hit the keyboard, giving you the correct answer

4 0
3 years ago
Which statement is true?
melamori03 [73]

Answer:

c ???

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If tan(A+B)=8 and tan B = 1/57 find tan A <br> Plz show work
Degger [83]

Answer:A=8-1/57=455/57=7.98

Step-by-step explanation:

8 0
3 years ago
Help me QUICK<br> Picture included of the problem
Klio2033 [76]

I think it would be a and f :)

3 0
3 years ago
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