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Black_prince [1.1K]
3 years ago
11

I need help on this and I don't know how to do this. Please Help

Mathematics
2 answers:
Vladimir79 [104]3 years ago
4 0

9514 1404 393

Answer:

  • -8, 3
  • 6, -5

Step-by-step explanation:

This sort of pattern is used in the factoring of trinomials. Typically, the top quadrant holds the product you're trying to factor. The bottom quadrant holds the sum of the factors. The factors appear on the left and right in no particular order.

__

1) You're looking for factors of -24 that have a sum of -5. It can be useful to simply list the factor pairs. Since you want a negative sum, you may want to start with the most negative factors and work up from there.

  -24 = (-24)(1) = (-12)(2) = (-8)(3) = (-6)(4)

The sums of these factor pairs are -23, -10, -5, -2. Obviously, the pair we're interested in is the one with a sum of -5: (-8) +(3).

So, the left- and right-quadrants are filled with -8 and 3.

  Blank 1 = -8

  Blank 2 = 3

__

2) You are given the factors, so all you need to do is form the product and sum.

  Blank 1 = (-3)(-2) = 6

  Blank 2 = (-3) +(-2) = -5

_____

<em>Additional comment</em>

Any sort of factoring is much easier to do if you have memorized your multiplication tables, preferably through 12×12. It is also helpful if you're familiar with divisibility rules—at least for single-digit numbers. I've seen college students struggle trying to do factoring using a calculator. It's not pretty. Many folks learn their times tables up to 10×10 by the end of 3rd grade.

miskamm [114]3 years ago
3 0

Answer:

Blank 1: -8

Blank 2: 3

Step-by-step explanation:

Sorry if i'm late on this but it is the same X method concept. -8 and 3 add up to get -5, and they multiply to get -24

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When x=-1: \quad (-1)y=-4\qquad\to\qquad y=4\)

Ok that gives us a little more information.
If we implicitly differentiate with respect to t, from the very start, then we can apply our product rule, ya?

x'y+xy'=0

The right side is zero, derivative of a constant is zero.
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From here, plug in all the stuff you know:
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