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4 years ago

What is the area of this circle

Mathematics

2 answers:

VikaD [51]4 years ago

4 0

Answer:

28.26

Step-by-step explanation:

AleksAgata [21]4 years ago

3 0

Answer:

28.26cm² is the area

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What are the possible rational zeros of f(x) = x4 + 6x3 − 3x2 + 17x − 15?

aleksandr82 [10.1K]

Consider the polynomial $f(x) = x^4 + 6x^3 - 3x^2 + 17x- 15.$

The rational zeros could be only of form c/d, where c is integer number among divisors of the last term (-15) and d is integer number among divisors of the first term (1).

The divisors of -15 are: $\pm 1, \pm 3, \pm 5, \pm 15.$

The divisors of 1 are: $\pm 1.$

Possible rational zeros: $\pm 1, \pm 3, \pm 5, \pm 15.$

Check them:

$f(1)=1^4 + 6\cdot 1^3 - 3\cdot 1^2 + 17\cdot 1- 15=1+6-3+17-15=6\neq 0;$

$f(-1)=(-1)^4 + 6\cdot (-1)^3 - 3\cdot (-1)^2 + 17\cdot (-1)- 15=1-6-3-17-15=-40\neq 0;$

$f(3)=3^4 + 6\cdot 3^3 - 3\cdot 3^2 + 17\cdot 3- 15=81+162-27+51-15=252\neq 0;$

$f(-3)=(-3)^4 + 6\cdot (-3)^3 - 3\cdot (-3)^2 + 17\cdot (-3)- 15=81-162-27-51-15=-174\neq 0;$

$f(5)=5^4 + 6\cdot 5^3 - 3\cdot 5^2 + 17\cdot 5- 15=625+750-75+85-15=1370\neq 0;$

$f(-5)=(-5)^4 + 6\cdot (-5)^3 - 3\cdot (-5)^2 + 17\cdot (-5)- 15=625-750-75-85-15=-300\neq 0;$

$f(15)=15^4 + 6\cdot 15^3 - 3\cdot 15^2 + 17\cdot 15- 15=50625+20250-675+255-15=70440\neq 0;$

$f(-15)=(-15)^4 + 6\cdot (-15)^3 - 3\cdot (-15)^2 + 17\cdot (-15)- 15=50625-20250-675-255-15=29430\neq 0.$

There are no rational zeros.

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4 years ago

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xxMikexx [17]

Answer:

Step-by-step explanation:

1:2.5 because 2/2=1 and 5/2=2.5

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4 years ago

Manuel wants to rent a boat and spend at most 34. The boat costs 8 per hour, and Manuel has a discount coupon for 6 off. What ar

I am Lyosha [343]

5 hours

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2 years ago

Please answer fast! I need a lot of help

Vlad1618 [11]

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Step-by-step explanation:

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3 years ago

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B) Find the value of (2.63 - 0.87) – 2.076

Tasya [4]

Answer:

-0.316

Step-by-step explanation:

2.63-0.87-2.076

=-0.316

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3 years ago