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Vlad [161]
3 years ago
11

Can anyone help ?\me with this algebra answer

Mathematics
2 answers:
sleet_krkn [62]3 years ago
3 0
The first one is correct
USPshnik [31]3 years ago
3 0

Answer:

B) 2x-y=5

Step-by-step explanation:

Info we have:

The x-intercept is 2.5

The slope is 2/1=2

Therefore, our equation so far is y=2x+b

We plug in our x-intercept in and make y=0 to get b:

0=2(2.5)+b

0=5+b

-5=b

Therefore, the equation of the line is y=2x-5

Given our found equation, we can see which option works.

A is wrong because 2x+y=-5 -> y=-5-2x -> y=-2x-5

B is right because 2x-y=5 -> -y=5-2x -> y=-5+2x -> y=2x-5

C is wrong because x+2y=-5 -> 2y=-5-x -> y=-2.5-1/2x -> y=-1/2x-2.5

D is wrong because 2y-x=10 -> 2y=10+x -> y=5+1/2x -> y=1/2x+5

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6 times the sum of 3 consecutive odd intergers is -18
Lyrx [107]
The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
_____________________________________________
Explanation:
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To represent 3 (three consecutive odd integers):
____________________________________
Let "x" be the first odd integer.
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Let "(x+2)" be next consecutive odd integer.
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Let "(x+4") be the third odd integer.
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The sum of these three consecutive odd integers:
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x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
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Six ("6") times the sum of these 3 (three) consecutive odd integers =
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6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
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Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1"; 
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{6(3x + 6) } / 6 = -18 / 6 ;  to get:
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3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
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3x + 6 - 6 = -3 - 6 ; to get:
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3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
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3x / 3 = -9 / 3 ;  x = - 3 ;
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Remember, from above:
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Let "x" be the first odd integer.  We know that "x = -3".
         Is this an odd integer? Yes!
____________________________________
Let "(x+2)" be next consecutive odd integer.  So (x+2) = (-3+2) = -1.
        Is this an odd integer? Yes!  Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
____________________________________
Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
       Is this an odd integer? Yes!  Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
___________________________
So, our 3 (three) consecutive odd integers are: -3, -1, 1.
___________________________
To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?

The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.

6 * -3 = ? -18? Yes!
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3 years ago
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Step-by-step explanation:

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