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saveliy_v [14]
1 year ago
5

According to the graph, what is the factorization of x² - 5x+6?

Mathematics
1 answer:
pychu [463]1 year ago
5 0

Answer:

OD.(x-3)(x-2)

Step-by-step explanation:

we need two numbers (negative ir positive) that multiply to get 6 abd add to get -5.

so its OD

as -3×-2=6

and -3+-2=-5

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Please show your work and explain it.
Maru [420]

Answer:

f(x)=\dfrac{x+2}{2(x-2)}

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}

Next we factor what we can so we can further simplify the rest of the equation:

=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\

We can now cancel out (x+2)

=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}

Next we factor out even more:

=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

=\dfrac{(x+2)(1)}{(x-2)(2)}

And we can now simplify it to:

=\dfrac{x+2}{2(x-2)}

6 0
3 years ago
Can you please help me -2.5x + 6 + 30x - 4.5
VARVARA [1.3K]
The answer is: 27.5x+1.5
7 0
3 years ago
Read 2 more answers
Write down the relation between mass and inerti​
Leya [2.2K]

Answer:

The mass of an object is directly proportional to its inertia.

m\alpha I

Where

m = mass

I = inertia

Step-by-step explanation:

We can first of all start by defining the two key terms present here - mass and inertia.

The mass of an object is the quantity of matter contained in the object.

The inertia of an object is the resistance of an object which is in a state of rest to motion

The mass of an object is directly proportional to its inertia.

The heavier an object is, the more inertia it has. To put things into perspective, you can easily push a bicycle because it does not really have a lot of mass, as opposed to pushing an eighteen-wheeler trailer.

6 0
2 years ago
Ramon and Justine are watching different broadcasts of a parade on television. The broadcast Ramon is watching airs commercials
lesya [120]
Since there is a short difference between the starting and ending times, we calculate the schedule of each commercial and then compare the broadcasting times.

Commercials of the broadcast Ramon is watching air at:

7.17,    7.34,     7. 51,    8.08,    8.25,    8. 42     8.59     a.m.

Commercials of the broadcast Justice is watching air at:

7.14        7.28        7.42       7. 56      8.10        8.24       8.38     8.52  a.m.

we can check that there are no matching commercial times.

The commercials will not air on both broadcasts at the same time in the interval 7:00 a.m to 9:00. a.m

Answer: never


8 0
3 years ago
Can a triangle have sides with the given lengths?<br><br> 11, 21, 11
viva [34]

Answer:

No because the bigger side of the triangle should be samller than the addtion of two smaller sides 11+11=22>21

4 0
3 years ago
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