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never [62]
3 years ago
15

Which graph represents a system of equations with no solutions?

Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0

The last graph represents a system with no solutions. The solution to a system of equations is the point at which both lines intersect. Because the equations in the last graph don't intersect and are parallel, it has no solutions. Hope this helps :))

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Solve this please .......​
nikdorinn [45]

Answer:

The sum of reciprocals is 2/3.

You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.

Step-by-step explanation:

a+b = 2

a*b = 3

1/a + 1/b = x

(a*b)*(1/a + 1/b) = (a*b)x

b + a = (a*b)(x)

2 = 3x

x = 2/3

b = 2 - a

a*(2 - a) = 3

-a^2 + 2a = 3

-a^2 + 2a - 3 = 0

a^2 - 2a + 3 = 0

let's solve the quadratic equation

a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0

(a - 1)^2 = -2

a_1 - 1 = \sqrt{2}i\\a_1 = 1+\sqrt{2}i\\\\a_2 - 1 = -\sqrt{2}i\\a_2 = 1 - \sqrt{2}i\\

these options correspond to a and b from the original question.

8 0
2 years ago
How do I do standard deviation ?
Marianna [84]
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6 0
3 years ago
I<br><br> Is x= -2 a solution to:<br> a.<br> 7X = -1<br> b. X* 14 = -28
raketka [301]

Answer:

Step-by-step explanation:

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b is the answer

8 0
3 years ago
A chemist is using 382 milliliters of a solution of acid and water. If 15.4% of the solution is acid, how many milliliters of ac
Elina [12.6K]

Answer:

58.8

Step-by-step explanation:

basic facts:

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- the word 'of' in maths means times

so 15.4% of the 382ml is the same as

382*15.4/100

to do that, you multiply 382 by 15.4 = 5882.8

then you divide that by 100= 58.828

and then you just round that of to 58.8

                                 

8 0
3 years ago
The slope of the graph of the equation y=2x-2 is 2. What is the y-intercept?
Marina86 [1]
  The y-intercept is the "b" in the slope-intercept form of y=mx+b. Based on the equation you wrote, you can substitute each of your known values into the slope-intercept form.
3 0
3 years ago
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