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3 years ago

What are two decimals equivalent to 5.000

Mathematics

1 answer:

marin [14]3 years ago

6 0

Two decimals equivalents to 5.000 ; 5.0 and 5

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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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What number would complete the pattern below? 16 4 12 36 9 27 44 11 __

Alexandra [31]

I think that the correct answer is 33

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What are the solutions of this quadratic equation? 2^2=16x-65

Karo-lina-s [1.5K]

Answer:

x= 4.3125

Step-by-step explanation:

2^2 = 16x - 65

4= 16x- 65

+65 +65

69 = 16x

69/16 =16x/16

4.3125 = x

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3 years ago

Where do the bottom go

Leni [432]

Answer:

b=2a-1= 2

b=5a+2= 3

b=8a=1

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Write 4 different fractions that are equal to 1. use yoir calculator to check that you are correct

yarga [219]

Answer:

2/2 3/3 4/4 5/5

Explanation: Have the fraction sign act like a division sign. 2 divided by 2 is 1. 3 divided by 3 is 1, and so on

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3 years ago

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