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4 years ago

Quadratic equation with irrational

Mathematics

1 answer:

trasher [3.6K]4 years ago

6 0

Besides having solution consisting of rational numbers , solutions of quadratic equation can be irrational or even

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X + y = -1 4x - 2y = -16

djyliett [7]

Answer:

$x=-3 \\and\\ y=2$

Step-by-step explanation:

$x + y = -1$ Equation:1

$4x - 2y = -16$ Equation:2

Solving Equation:1

$x+y=-1$

Subtracting 'y' from both the sides:

$x+y-y=-1-y\\\\x=-1-y$

Putting 'x' in Equation :2

$4(-1-y)-2y=-16\\\\-4-4y-2y=-16\\\\-4-6y=-16$

Adding '4' both the sides

$-6y=-16+4\\\\-6y=-12\\\\y=-12/-6\\\\y=2$

Putting the value of 'y' in equation:1

$x+y=-1$

$x+(2)=-1\\\\x=-1-2\\\\x=-3\\$

The solution is:

$x=-3 \\and\\ y=2$

6 0

3 years ago

What is the additive inverse of -2 + 8i?

tatuchka [14]

Answer:

2 - 8i

Step-by-step explanation:

The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.

An example:

The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.

To solve

So all you need to do is find the opposite of -2 + 8i. You can write it as:

-(-2 + 8i) With the negative in the front because we want to find the opposite.

This then equals:

2 - 8i

You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:

(-2 + 8i) + (2 - 8i) → and it does equal 0

ANSWER: 2 - 8i

Hope you understand and that this helps with your question! :)

8 0

3 years ago

The sum of an infinite geometric series is 1,280, while the first term of the series is 160. What is the common ratio of the ser

Arlecino [84]

The sum is 160/(1-r)=1280 where r is the common ratio,
1/(1-r)=1280/160=8
Inverting we get 1-r=1/8, r=7/8.

7 0

4 years ago

A landscaping crew can mulch 3

V125BC [204]

Answer:

Explaination:

3 0

3 years ago

Rita drank the following ounces of milk during the last week

Andre45 [30]

Answer:

Mean = 14.14

Mode = 14

Median = 14

Range = 16

Step-by-step explanation:

Given Data Set : 18 , 14 , 10 , 22, 14 , 15 and 6

Identifying the mean

Mean = Sum of given data values / total # of given values

Here sum of given data values = 18 + 14 + 10 + 22 + 14 + 15 + 6 = 99

And there are 7 given data values

So mean = 99 / 7 =

14.14

( approximately )

Identifying the mode

The mode is the number that appears most often

14 appears twice, which is the most times out of any other value

Hence, the mode is

Identifying the median

The median is the middle number in terms of value

To make this easier, its best to order the given values from least to greatest
Doing so we acquire 6 , 10 , 14 , 14 , 15 , 18 , 22

Then you go to the middle of the listed terms.

Doing so we would end up with 14 being in the middle

Hence the median is

Identifying the range

Range = largest given value - smallest given value

Here the most rita drank was 22 ounces and the least amount of milk she drank was 6 ounces

So the range would be 22 - 6 =

ounces

And we are done!

3 0

2 years ago