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sukhopar [10]
2 years ago
10

Is (x + 6) a factor of f(x) = x3 − 3x2 + 2x − 8? Show how to use either the remainder theorem or the factor theorem to explain y

our reasoning.
Mathematics
1 answer:
inysia [295]2 years ago
7 0

Answer:

x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.

Step-by-step explanation:

→ Substitute x = -6 into f ( x )

( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8

→ Simplify

216 - 108 + 12 - 8

→ Simplify further

112

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SHOW ALL WORK: Graph each lineby plotting its intercepts or by using the y intercept and slope. {2x-y=4 {3y-3x=6
pickupchik [31]

Answer:

x-y=-2

Step-by-step explanation:

Divide both sides if the equations by 3.

(3y-3x)÷3=6÷3

y-3x÷3=2

calculate the quotient

y-x=2

multiply both sides of the equation bub -1

-1x(-x)-1y=-1x2

any expression multiplied by -1

x-1y=-1x2

any expression multiplied by 1 remains the same.

x--y=-1x2

x-y=-2

5 0
3 years ago
3. Galshore of Maloat is making a journey from the island of Gont to Oranea. The distance from the two lands is 965 miles. Galsh
USPshnik [31]

Answer:

  3.  about 7.48 hours

  4.  about 1.8892 hours

Step-by-step explanation:

Both of these questions make use of the relation ...

  time = distance / speed

3. time = (965 mi)/(129 mi/h) ≈ 7.48062 h ≈ 7.48 h

__

4. time = (612.1 mi)/(324 mi/h) ≈ 1.889198 h ≈ 1.8892 h

(We have rounded the time to sufficient precision so that the distance at the given speed rounds to the number given.)

3 0
3 years ago
Suppose the profit a honda dealership makes on the next 5 accords it sells are:564, 1,000, 848, 1,495, 1,348. calculate the stan
stepladder [879]
First we have to find the mean (average)
mean = (564 + 1000 + 848 + 1495 + 1348) / 5 = 5255 / 5 = 1051

now we subtract the mean from every data point, then square it
564 - 1051 = -487......-487^2 = 237169
1000 - 1051 = -51......-51^2 = 2601
848 - 1051 = -203......-203^2 = 41209
1495 - 1051 = 444......444^2 = 197136
1348 - 1051 = 297......297^2 = 88209

now find the mean of the results.....but know when ur dealing with a sample instead of the whole population, u divide by 1 number less...so instead of dividing by 5, u divide by 4.
(237169 + 2601 + 41209 + 197136 + 88209) / 4 = 566324 / 4 = 
141581.....this is called ur variance

now take the square root of the variance and u have ur standard deviation
sqrt (141581) = 376.272 rounds to 376.27 <==
5 0
3 years ago
PLZZZ HELPPPPPPPPPPP
Oliga [24]

Answer:

Step-by-step explanation:

29 5x+8+x+4=90

6x=78

x=13

30 3x-7+11x-1=90

14x=98

x=7

31 3x+x+8=180

4x=172

x=43

32 6x-1+5x-17=180

11x=198

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7 0
3 years ago
A school administrator believes that the mean class gpas for a given course are higher than the preferred mean of 2.75 at a sign
Svetach [21]

The mean GPA is greater than 2.75.

<h3>What is GPA?</h3>
  • A grade point average is a figure that represents the average of the final grades obtained in courses over time.
  • A student's grade point average, sometimes known as a GPA, is computed by adding all accumulated final grades and dividing the total by the number of grades granted.

To find the GPA:

  • GPA is calculated and could be utilized by the college to tell choices, which include the subsequent educational progression.
  • Divide the total range of grade factors earned with the aid of the total number of letter-graded units undertaken.
  • Mean GPA = total/50
  • = 2.75.

Therefore, the mean GPA is greater than 2.75.

Know more about GPA here:

brainly.com/question/17010398

#SPJ4

4 0
1 year ago
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