Find 2 integers whose sum is -7 and whose product is 1.2

Mathematics

1 answer:

RSB [31]4 years ago

7 0

X = - 7 - y ( - 7 - y ) y = 12y = - 3 or y = - 4x = - 7 - ( - 3) or x = - 7 - ( - 4)( - 4, - 3)( - 3, - 4)

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Simplify the expression. 3y3 – 2y[4y – y(y – 3)] – [2y(y + 1) – 3y(y2 –1)]

kondaur [170]

The first step for solving this expression is to distribute -y through the parenthesis.
3y³ - 2y × (4y - y² + 3y) - (2y × (y + 1) - 3y × (y² - 1))
Distribute 2y through the parenthesis.
3y³ - 2y × (4y - y² + 3y) - (2y² + 2y - 3y × (y² - 1))
Now distribute -3y through the parenthesis.
3y³ - 2y × (4y - y² + 3y) - (2y² + 2y - 3y³ + 3y)
Collect the like terms in the first set of the parenthesis.
3y³ - 2y × (7y - y²) - (2y² + 2y - 3y³ + 3y)
Collect the like terms in the second set of the parenthesis.
3y³ - 2y × (7y - y²) - (2y² + 5y - 3y³)
Distribute -2y through the parenthesis.
3y³ - 14y² + 2y³ - (2y² + 5y - 3y³)
Remember that when there is a "-" sign in front of the parenthesis,, you must change the sign of each term in the parenthesis. This will change the expression to the following:
3y³ - 14y² + 2y³ - 2y² - 5y + 3y³
Collect the like terms with an exponent of 3.
8y³ - 14y² - 2y² - 5y
Lastly,, collect like terms that have an exponent of 2.
8y³ - 16y² - 5y
Since we cannot simplify the expression any further,, the correct answer is going to be 8y³ - 16y² - 5y.
Let me know if you have any further questions.
:)

5 0

4 years ago

For what values of x is the expression (x - 4)^2 > 0?

ad-work [718]

Answer:

$x4$

Step-by-step explanation:

Solve we have the inequality:

$(x-4)^2>0$

Let's solve it like a normal equation first. So, pretend the inequality is an equal sign:

$(x-4)^2=0$

Solve for x. Zero Product Property:

$x-4=0\text{ or } x-4=-0$

Add 4 to both sides for both equations:

$x=4\text{ or } x=4$

So, our roots are at x=4 and x=4.

Since our original inequality is greater than, this means that our solution will be all values to the left of our first zero and all values to the right of our second zero.

Therefore, our solution is:

$x4$

Simply put, our x can be anything except for 4 itself.

And we're done!

8 0

3 years ago

Read 2 more answers

Is ( 1,-1) a solution to the following system of inequalities:

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

x-y less than -2