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I am Lyosha [343]
3 years ago
9

Aiden is a boxer and is trying to reach his target weight, which is represented by the zero mark on the number line. Yesterday,

Aiden was 0.25 pounds below his target. Today, he weighed himself and found that his weight had changed 1.5 pounds from yesterday. Plot the points that might represent Aiden's weight today compared to his target weight on the number line provided.

Mathematics
1 answer:
malfutka [58]3 years ago
3 0

Answer:

1.25

See the attached image for explanation

Step-by-step explanation:

Aiden's target weight is represented by zero mark on the number line.

Yesterday, Aiden's weight was 0.25 below the target weight that is represented by -0.25 mark.

Today, Aiden's weight was changed by 1.5 from yesterday

change = 1.5 - 0.25 = 1.25

Aiden's weight today is represented by 1.25 mark on the number line.

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For the polynomial function ƒ(x) = −x6 + 3x4 + 4x2, find the zeros. Then determine the multiplicity at each zero and state wheth
murzikaleks [220]

There is a multiple zero at 0 (which means that it touches there), and there are single zeros at -2 and 2 (which means that they cross). There is also 2 imaginary zeros at i and -i.


You can find this by factoring. Start by pulling out the greatest common factor, which in this case is -x^2.


-x^6 + 3x^4 + 4x^2

-x^2(x^4 - 3x^2 - 4)


Now we can factor the inside of the parenthesis. You do this by finding factors of the last number that add up to the middle number.


-x^2(x^4 - 3x^2 - 4)

-x^2(x^2 - 4)(x^2 + 1)


Now we can use the factors of two perfect squares rule to factor the middle parenthesis.


-x^2(x^2 - 4)(x^2 + 1)

-x^2(x - 2)(x + 2)(x^2 + 1)


We would also want to split the term in the front.


-x^2(x - 2)(x + 2)(x^2 + 1)

(x)(-x)(x - 2)(x + 2)(x^2 + 1)


Now we would set each portion equal to 0 and solve.


First root

x = 0 ---> no work needed


Second root

-x = 0 ---> divide by -1

x = 0


Third root

x - 2 = 0

x = 2


Forth root

x + 2 = 0

x = -2


Fifth and Sixth roots

x^2 + 1 = 0

x^2 = -1

x = +/- \sqrt{-1}

x = +/- i

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Answer:

  • x = 6√2
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Step-by-step explanation:

The triangles are all similar, so corresponding sides are proportional.

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<h3>x</h3>

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  x = 6√2 . . . . . . take the square root

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<h3>y</h3>

  hypotenuse/long side = y/12 = (12+6)/y

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Step-by-step explanation:

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