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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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For one Geometry test, Nancy correctly answered 18 questions. These correct answers gave her a percent score of 72%. In total, h
Brrunno [24]

Answer:

25 questions.

Step-by-step explanation:

Correct answer = 18

The percent score of the correct answers is 72%.

Let there are x questions in the test. So,

According to the given condition,

72\%\ of\ x=18\\\\\dfrac{72}{100}x=18\\\\x=\dfrac{18\times 100}{72}\\\\x=25

Hence, there were 25 questions in the geometry test.

4 0
3 years ago
Help me plz<br><br> 2<br> _ Y + 7 = 15<br> 3
julia-pushkina [17]

Answer:

y= 12

Step-by-step explanation:

2/3 y + 7 = 15

Subtract 7 from each side

2/3 y + 7-7 = 15-7

2/3 y = 8

Multiply each side by 3/2 to isolate y

3/2 * 2/3 y = 3/2 * 8

3/2 * 2/3 y = 3 * 4

y = 12

7 0
3 years ago
Heather wrote her bike at a rate of 15 per second which graph best represents the relationship between this time in seconds Heat
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Answer:

i wish i were heather

Step-by-step explanation:

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5 0
3 years ago
Explain why the sum of the angle measures in any triangle is 180
MA_775_DIABLO [31]
This is because two angles are zero and top is a straight line, and a line is 180 degrees!

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5 0
3 years ago
Read 2 more answers
The weight of an object is equal to 3\4 of its own weight plus 3\4of a pound. What is the weight?
Phoenix [80]

Answer:

The weight of the object is 3 kg.

Step-by-step explanation:

<u>Step 1: </u>

Let object weight be x kg.

Now, as per the available data,

3/4 kg + 3/4 (x kg) = x kg

<u>Step 2: </u>

3/4 (1 + x) = x

1 + x = 4x/3

1 = x (4/3 - 1)

x = 1 / (1/3)

x = 3

Weight of Object is 3 kg.

<u>Step 3: </u>

Let's check if this value satisfies the first equation.

3/4 + 3/4 x 3 = 3/4 + 9/4 = 12/4 = 3

Hence proved.

8 0
4 years ago
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