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Nataly_w [17]
3 years ago
6

WILL GIVE BRAINLEST ! hAVE A GOOD DAy :)!

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
8 0

Answer:

10) 3^{2} * 3 * 2 *17

12) 8

Please give me brainliest ToT

Nata [24]3 years ago
5 0

Answer:

10. 408 is the answer

12. The "simplest radical form" of √64 is √26 if we define "simplest form" as a radical of a prime to an integer power.

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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
Organic milk costs $2.52 per gallon. at this rate, how can the price of 4 gallons be determined?
asambeis [7]

Let's make an equation where x is the number of gallons and y will be the overall price.

2.5x=y; since it is $2.52 PER gallon, you need to multiply the amount of gallons by the cost. In this case, it is 4.

2.5(4)=10

So, the price of 4 gallons is $10.

8 0
3 years ago
Read 2 more answers
3/4t-2=5-1/4t<br> slove for t<br> pLeAsEeEe
lukranit [14]

Answer:

no

Step-by-step explanation:

3 0
2 years ago
cattie started with 12 ounces of water when she began her walk when she finished walking she had 2 1/4 ounces of water left how
Blizzard [7]
It is 9 3/4 because 12- 2 1/4 is 9 /14
6 0
3 years ago
Please Help me solve these problems.
Harman [31]
Which question? The picture is black
5 0
2 years ago
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