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Anvisha [2.4K]
3 years ago
14

6x^3-16x^2+17x-6?/3x-2

Mathematics
1 answer:
liraira [26]3 years ago
4 0

Answer:

2x² − 4x + 3

Step-by-step explanation:

x = 2/3 is a root of both the numerator and the denominator, so it divides evenly.  Therefore, one method is to factor by grouping:

6x³ − 16x² + 17x − 6

6x³ − 4x² − 12x² + 17x − 6

2x² (3x − 2) − (12x² − 17x + 6)

2x² (3x − 2) − (4x − 3) (3x − 2)

Divided by 3x − 2:

2x² − (4x − 3)

2x² − 4x + 3

Another method is to use long division (see image).

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Pleaseeeee helpppppp
lakkis [162]

Answer:

Okay so I’m gonna do a few and list a few examples

In slope intercept form its

y=mx+b

Y= Random Y coordinate (Not that important for now while writing)

m= Slope

X= random x coordinate (not that important for now while writing)

b= Y intercept

SO basically plug it in like that so for the first one

the slope is 1/3  and y-intercept is -1

so

y=1/3x-1

And thats how you do it

leave the y and x

Graphing

So for graphing or fining the equation, first identify the y-intercept

The y-intercept is on the y axis (obviously), and its the number where the line first hits, so for the first one, the y intercept is 3 becuase thats where the first line meets on the Y axis. When identified start doing rise over run, lik just go up and right, if there is no space, dot he opposite, go down and go left or right (depends if the line is rising or falling, you can tell if rising (positive) if the line goes from down to up form left to right , if falling (negative) vice versa, up to down from left to right). And just write the equation after identifying the slope And y-intercept, the x and y don’t matter.

4) y= -1/3x+3 (watch your signs, if falling the slope is automatically negative)

5) y=1/2x+1

6) y=4x-5 (negative y-intercept due to the part where the y meets up with the line, its in the negative side)

(remember to write these equations on the top side of the line

4 0
3 years ago
Linda scored 80% in her French test. If she received 60 marks, find the total number of marks possible for the test
amid [387]

Answer:

48

Step-by-step explanation:

If we know that the max possible score is 100%, and she got 80% for getting 60 marks, we can set it up as a porportion.

60 * 80 = 4800

4800/100 = 48

6 0
3 years ago
Read 2 more answers
Terry practices the same amount of time each day for his soccer tryouts. In 4 days, he has practiced for 360 minutes. Let x repr
n200080 [17]

Answer:

90

Step-by-step explanation:

390 ( 40; 6 )

7 0
2 years ago
Calculate the rate of change.
Tpy6a [65]

Answer:

2

Step-by-step explanation:

Rise is 10 run is 5 Rate of Change is rise over run.

7 0
2 years ago
*****50 POINTSSSS*****
defon

Answer:

<h3>Given</h3>
  • m∠REG = 78°
  • mAR = 46°
  • ER ≅ GA
<h3>Solution</h3>
  • m∠GAR = 180° - m∠REG = 180° - 78° = 102° (supplementary angles sum to 180°)
  • m∠TAR = 1/2mAR = 1/2(46°) = 23°   (tangent chord angle is half the size of intercepted arc)
  • m∠GAN = 180° - (m∠TAR + m∠GAR) = 180° - (23° + 102°) = 55° (straight angle is 180°)
  • mAG = 2m∠GAN = 2(55°) = 110°
  • mRE = mAG = 110° (as ER ≅ GA)
  • mGE = 360° - (mAG + mAR + mRE) = 360° - (110° + 46° + 110°) = 94° (full circle is 360°)
6 0
2 years ago
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