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3 years ago

15

A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour. Which complex fraction represents the unit rate in miles per hou

r? A: 2/12 / 1/6B:5/2 / 1/6C:1/6 / 5/2D:1/6 / 2 1/2

1 answer:

Nikitich [7]3 years ago

3 0

At first glance, prolly c

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Which value of x makes the inequality 2(8 – x) < 4 true? A. x = –16 B. x = –9 C. x = 4 D. x = 10

myrzilka [38]

Answer:

10

Step-by-step explanation:

If we plug in any negative number as x, the result will always be greater than 4, which rules out answers A and B

lets try plugging in 4 as x to test answer C:

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2(4)= 8

8 is greater than 4, therefore C is wrong.

Lets try 10 as X (answer D):

2(8-10)

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HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer c

Anna71 [15]

Answer:

$n=241$

Step-by-step explanation:

We are given

$5x^2+nx+48$

Let's assume it can be factored as

$5x^2+nx+48=(5x-s)(x-r)$

now, we can multiply right side

and then we can compare it

$5x^2+nx+48=5x^2-5rx-sx+rs$

$5x^2+nx+48=5x^2-(5r+s)x+rs$

now, we can compare coefficients

$rs=48$

$5r+s=-n$

$n=-(5r+s)$

now, we can find all possible factors of 48

and then we can assume possible prime factors of 48

$48=-+(1\times 48)$

$48=-+(2\times 24)$

$48=-+(3\times 16)$

$48=-+(4\times 12)$

$48=-+(6\times 8)$

Since, we have to find the largest value of n

So, we will get consider larger value of r because of 5r

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So, we can assume

r=-48 and s=-1

so, we get

$n=-(5\times -48-1)$

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Answer:

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Step-by-step explanation:

10(x-2)=-20

10x-20=-20

10x=0

x=0

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