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ELEN [110]
3 years ago
10

Solve using the quadratic formula: (Standard form 1st!) 2x^2-2x=24

Mathematics
1 answer:
Flura [38]3 years ago
5 0

Answer:

4, -3

Step-by-step explanation:

The quadratic formula is \frac{-b+-\sqrt{b^2-4ac} }{2a}.

When using the formula for both the negative and positive value of the sqrt, you will get:

x = 4, -3

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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:
_______________
To represent 3 (three consecutive odd integers):
____________________________________
Let "x" be the first odd integer.
____________________________________
Let "(x+2)" be next consecutive odd integer.
____________________________________
Let "(x+4") be the third odd integer.
____________________________________
The sum of these three consecutive odd integers:
__________________________________________
x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
_________________________________________
Six ("6") times the sum of these 3 (three) consecutive odd integers =
_________________
6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
_____________________________________________
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"; 
__________________________________________
{6(3x + 6) } / 6 = -18 / 6 ;  to get:
________________________________________
3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
__________________________________
3x + 6 - 6 = -3 - 6 ; to get:
__________________________________
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" ;
___________________________________
3x / 3 = -9 / 3 ;  x = - 3 ;
_____________________
Remember, from above:
__________________________
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!
___________________________





3 0
3 years ago
Find the slope <br><br> Use this form for example:y=Mx+b
enot [183]

Answer:

Line: y = Mx + b, passes (0, 1) => M*0 + b = 1 => b = 1

Line: y = Mx + 1, pass (2, 4) => 2M + 1 = 4 => M =3/2

=> Line: y = (3/2)x + 1

Hope this helps!

:)

7 0
3 years ago
Harrison made a building using 124 blocks Greyson made a building using 78 blocks how many more blocks did Harrison use than Gre
enyata [817]
124 - 78 = 46.....Harrison used 46 more blocks then Greyson
6 0
3 years ago
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at five pm a four foot mailbox casts a shadow six feet long at the same time a tree cast a shadow 36 feet Long bhow tall is the
Andrej [43]

So the 4ft mailbox’s shadow was six feet. That 2ft longer. According to my logic if the tree had a showdown of 36ft we subtract 2ft. The trees actual size is 34ft.

I might be wrong don’t hate me :(

5 0
3 years ago
Kelly shows all the ways to make 49 as tens and ones. What ways does she show?
ahrayia [7]
There are a bunch of ways to do it but a couple would be 4 tens and 9 ones, or 49 ones. I hope this was helpful.
5 0
3 years ago
Read 2 more answers
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