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Setler [38]
3 years ago
5

F(x) = 2/3 |x-4| need help on homework

Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0

The parent function f(x) abs of x

shifted 4 units to the right and vertically compressed by a factor of 2/3

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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
Plz, Help I'll give brainlist to whoever answers all questions!
Tatiana [17]

Answer:

Step-by-step explanation:

1. Area => 7.5 x 2 = 15 m² (Choice B)

2. Area => 5 x 11 = 55 in² (Choice B)

3. Area = (12 x 18) * 0.5 = 108 cm² (Choice A)

4. Triangular Pyramid (Choice D)

6. Area of Rectangle => 12 x 9 = 108

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   Sum of Area => 150

7.  Surface Area => (4x4)x6 = 96 in² (Choice D)

8. Volume = 3x15x14 = 630 in³ (Choice D)

7 0
2 years ago
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I need help on 78 and 79
Orlov [11]

There are 15 pencils altogether. Of these, 4 are green. Thus, P(green) = 4/15.


3+6

There are 3 red and 6 blue pencils. Thus, P(red or blue) = --------- = 3/5

15

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3 years ago
A swimming pool that holds 10,000 gallons of water is being filled at a rate of 600 gallons per hour. The function h(x)=600x rep
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*assume the pool is empty at the beginning

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Hi I need to know what 3 5\16 is as a decimal
Ivahew [28]
3 \frac{5}{16} =3.3125
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