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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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Solve for x: 3-x = 3(6x-9). Describe the process used to solve the equation and show each step.
FromTheMoon [43]

Answer:

x=1.578

Step-by-step explanation:

Given equation is 3-x = 3(6x-9)

We need to find the value of x

3-x = 3(6x-9)

Distribute 3 in the right-hand side  

3-x=18x-27

Add both sides x

3-x+x=18x+x-27\\3=19x-27

Now, add both sides 27

3+27=19x-27+27\\30=19x

Divide both sides by 19

\frac{30}{19}=\frac{19x}{19}\\x=1.578

So, x=1.578

5 0
3 years ago
PLEASE HELP ME ASAP!!! (you will get 20 points!!!)
raketka [301]

Answer: the longest side of a triangle is always the opposite side of the largest angle

Step-by-step explanation:

Line segment DF ☺️

4 0
3 years ago
Chelsea records the number of quarts of water she gives her garden over 444 days. She rounds the measurements to the nearest \df
geniusboy [140]

Answer:

33

Step-by-step explanation:

Total=7

8

4

​

+7

8

4

​

+8

8

6

​

+9

8

2

​

start text, T, o, t, a, l, end text, equals, 7, start fraction, 4, divided by, 8, end fraction, plus, 7, start fraction, 4, divided by, 8, end fraction, plus, 8, start fraction, 6, divided by, 8, end fraction, plus, 9, start fraction, 2, divided by, 8, end fraction

Hint #22 / 3

Let's add the whole numbers then add the fractions.

\begin{aligned} \text{Total}&=(7+7+8+9)+\left(\dfrac{4}{8}+\dfrac{4}{8} +\dfrac{6}{8}+\dfrac{2}{8}\right)\\\\ &= 31+\dfrac{16}{8}\\\\ &=31+2\\\\ &=33 \end{aligned}

Total

​

 

=(7+7+8+9)+(

8

4

​

+

8

4

​

+

8

6

​

+

8

2

​

)

=31+

8

16

​

=31+2

=33

​

Hint #33 / 3

Chelsea used 33 quarts of water on her garden.

6 0
2 years ago
How do I solve? I can't get the denominator 1
SVETLANKA909090 [29]
4/1 - t =  t/1 i thinks that is the answer i am not so sure


3 0
3 years ago
A scientist determines that an antibiotic reduces a population of 20,000 bacteria to 5,000 in 24 hours. Find
Bad White [126]

Answer:

5.8%

Step-by-step explanation:

H= 1/r (in P - in A)

H=24

P=2000

A=5000

24= 1/r (in2000 - in5000)

24r = in 2000 - in 5000

r = in 2000 - in 5000

_________________

24 r

= 05 .7762265

= 5.8 %

8 0
3 years ago
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