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3 years ago

Find the roots of the function f(x)=x2+6x

Mathematics

2 answers:

MakcuM [25]3 years ago

4 0

Answer:

-6 & 0

Step-by-step explanation:

x² + 6x = 0

x(x + 6) = 0

x = 0 or x + 6 = 0

x = 0, x = -6

Inga [223]3 years ago

3 0

Answer:

The roots are 0, -6

Step-by-step explanation:

f(x)=x^2+6x

Set the function equal to zero to find the roots

0 = x^2 +6x

Factor an x

0 = x(x+6)

Using the zero product property, set each term equal to zero

x=0 x+6 =0

x=0 x = -6

The roots are 0, -6

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An expression is shown below. Which expression is equivalent to the expression shown?

Vera_Pavlovna [14]

Note: In option A, it should be "+" instead of "(".

Given:

The expression is

$-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)$

To find:

The equivalent expression.

Solution:

We have,

$-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)$

Using distributive property, we get

$=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)$

$=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y$

On combining like terms, we get

$=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)$

$=-2x^2+5y^2+xy+3x+9y$

The expression $-2x^2+5y^2+xy+3x+9y$ is equivalent to the given expression.

Therefore, the correct option is A.

6 0

3 years ago

Write two expressions where the solution is 28

umka2103 [35]

Some expressions are:

7 times 4 equals 28
20 plus 8 equals 28
10 plus 18 equals 28
25 plus 3 equals 28

6 0

3 years ago

Use the rational zeroes theorem to write the

scoundrel [369]

The y factors of the given quadratic equation is -1 and 40/22.

According to the statement

we have given that the equation and we have to find the factors of those equation.

So, The given equation is:

$Y =x^2-23x^2 + 18x+40$

where y is the factors of that equation.

So, we have to find the factors of the given quadratic equation.

$x^2-23x^2 + 18x+40 = 0$

Then after solving it become

$-22x^2 + 18x+40 = 0$

Then take negative sign common from it then

$22x^2 - 18x - 40 = 0$

Make the factors of this quadratic equation

$22x^2 + 22x -40x - 40 = 0$

Now take common values 22x and 40 from the equation then

$22x (x + 1) -40 (x + 1) = 0$

Then it become

$(22x - 40) (x + 1) = 0$

Then the values of x become from the equation is

$x = -1, x= 40/22$

The value of the factors y is -1 and 40/22.

So, The y factors of the given quadratic equation is -1 and 40/22.

Learn more about Quadratic equation here

brainly.com/question/24334139

#SPJ1

8 0

2 years ago

Solve this question. a/7-3<0

valkas [14]

Answer:

$\boxed{\sf{a$

Step-by-step explanation:

You only need to isolate the term a to solve this problem.

Add by 3 from both sides.

$\sf{\dfrac{a}{7}-3+3$

Solve.

0+3=3

a/7<3

Multiply by 7 from both sides.

$\sf{\dfrac{7a}{7}$

Solve.

3*7=21

As a result, the solution is a<21, which is our answer.

7 0

2 years ago

What is the answer for this question

Pavlova-9 [17]

Answer:

option d. is the correct answer

5 0

3 years ago