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3 years ago

For the polynomial x^3-7x^2+12x-6, 1 is a zero. Express g(x) as a product of linear factors.

Mathematics

1 answer:

Liula [17]3 years ago

6 0

Answer:

(x–1)(x²–6x+6)

Explanation:

Given that 1 is a zero, we can use synthetic division to compute the factor.

If 1 is a zero (x–1) is a factor.

Here is the process:

| 1 | 1 -7 12 -6

↓ +(1) +(-6) +(6)

↓ ↓ ↓

1 -6 6 0

→ [1]x² + [-6]x + [6]1 + [0]/x–1 =

x² – 6x + 6.

Therefore the factors are (x–1)(<u>x²–6x+6</u>)

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3 years ago

The owner of a used car lot wants to buy many cars at an auction as he can while not spending more than $20000. If he expects th

AleksAgata [21]

Answer:

Step-by-step explanation:

Given that:

Total maximum amount that the owner wishes to spend = $20000

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To find:

How many cars that the owner can expect to buy?

Solution:

Total number of cars that the owner can expect to buy can be found by dividing the total money available with the owner with the average price of each car.

i.e.

$\text{Number of cars expected to be bought} = \dfrac{\text{Total money available with the owner}}{\text{Average Price of car}}$

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Total money available = $20000

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Therefore, the answer is:

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2 years ago

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sertanlavr [38]

Rearrange the numbers in order from least to greatest:

<span>6, 1, 5, 2, 6, 5, 2, 6, 5

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The mode is the number that is represented most in a set of numbers. Since 5 and 6 are both represented three times, these numbers will be the mode for this set.

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3 years ago

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Answer: C) Contrapositive

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Step-by-step explanation:

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3 years ago