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Tresset [83]
3 years ago
13

Jocelyn is knitting a blanket she knits 1/4 foot of the scarf in 3/4 of an hour how fast is jocelyn’s knitting speed in feet per

hour
Mathematics
1 answer:
Alchen [17]3 years ago
4 0
Her speed per hour is 1/3 of a foot
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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

7 0
3 years ago
The hypotenuse of a 90-45-45 triangle is 20√2. What is the short leg and the long leg>
stepan [7]

Answer:

Both legs would be 20

Step-by-step explanation:
In the image below, it shows the relationship between the legs and the hypotenuse in every 45 45 90 triangle. If we know that the hypotenuse is 20, then the 2 legs are both 20.

I am slightly confused with the problem since they asked for the "short" leg and the "long" leg. Both legs should be the same length because a 45 45 90 triangle is isosceles, with the two legs being the same length.

6 0
2 years ago
Which equation describes the graph? (In the photo)
maw [93]

Answer:

C. The slope is 3 and the y-intercept is -3

3 0
3 years ago
Also how would you round 2.59 to the nearest tenths ?
Maslowich

Answer:

<em>2.6</em>

Step-by-step explanation:

The tenths digit is the 5.

Drop every digit after the 5. You get 2.5

Now you need to see if the 5 stays as it is or if it goes up by 1 to 6.

The first digit after the 5 you dropped is 9. Since 9 is greater than 4, the previous digit goes up by 1, so the 5 becomes a 6.

The final answer is 2.6

5 0
3 years ago
Read 2 more answers
Write a calculation and a result that<br> represents a number that is 5 greater than 3.
Phantasy [73]

Answer:

x + 5 > 3

-5 -5

x < -2

3 0
3 years ago
Read 2 more answers
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