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Vinil7 [7]
3 years ago
9

How do you do this?

Mathematics
2 answers:
IgorC [24]3 years ago
6 0
So the trickiest part about these is finding how to get the middle term. The easiest way to do this is by multiplying your end terms, 3 and -8, and using the factors to find how to get the middle term:

3 x -8 = -24
Factors of 24 = 1,2,3,4,6,8,12,24

Now we need two of these factors to add to make +10, in this case it'd be 2 and 12. The reason this works is because our number is -24, so one of the factors is going to be negative, in this case we make the 2 negative: -2+12=10

Now we set up the equation like so:

3x^2 + 12x -2x - 8

Now simplify by pulling out common terms:

3x(x+4) - 2(x+4)
(3x-2)(x+4)

Ta-da, your polynomial is now 2 binomials

It takes lots of practice, but once you get the hang of it they get easier to do in your head. Keep at it!
Sholpan [36]3 years ago
4 0

put the first equation in the graphic calculator in y= #1  then in y=#2 put one of the answer choices, if the y1 & y2 match that will be your answer


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Answer:

Step-by-step explanation:

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by the formula,

Slope = \frac{y_2-y_1}{x_2-x_1}

Slope of the line PQ passing through the two points P(-8, 2) and Q(4, 2) will be,

Slope 'm_1' = \frac{2-2}{-8-2} = 0

Therefore, slope of the line PQ parallel to the x-axis = 0

Slope of the line MN passing through the points M(8, 6) and N(8, -8) is,

Slope 'm_2' = \frac{6+8}{8-8} = ∞

Therefore, slope of the line MN parallel to y-axis is undefined.

Since, angle between the x-axis and y-axis is 90°,angle at the intersection  point between the lines parallel to x and y axis will be 90°.

These lines are perpendicular to each other.

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3 years ago
In triangle FGH shown below, what is the measure of ∠ F in degrees?
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Step-by-step explanation:

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3 years ago
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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
Rama09 [41]

You can see how this works by thinking through what's going on.

 

In the first year the population declines by 3%.  So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200.  3% of 1200 is the same as .03 * 1200.  So the population at the end of the first year is 1200 - .03 * 1200.  That can be written as 1200 * (1 - .03), or 1200 * 0.97

 

What about the second year?  The population starts at 1200 * 0.97.  It declines by 3% again.  But 3% of what???  The decline is based on the population at the beginning of the year, NOT based no the original population.  So the decline in the second year is 0.03 * (1200 * 0.97).  And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year.  So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

 

So there's a pattern.  If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

 

So the population after x years is 1200 * 0.97x

5 0
3 years ago
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