which of the following represents the set of possible rational roots for the polynomial shown below? x^3+5x^2-8x-20=0

Solve x^2+2x+7=0 using the quadratic formula.

Aneli [31]

Answer:

$x=-1\pm \sqrt{6}i$

Step-by-step explanation:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(2)\pm\sqrt{2^2-4(1)(7)}}{2(1)}$

$x=\frac{-2\pm\sqrt{4-28}}{2}$

$x=\frac{-2\pm\sqrt{-24}}{2}$

$x=\frac{-2\pm\sqrt{-1*24}}{2}$

$x=\frac{-2\pm\sqrt{-1}\sqrt{24}}{2}$

$x=\frac{-2\pm i\sqrt{4*6}}{2}$

$x=\frac{-2\pm i\sqrt{4}\sqrt{6}}{2}$

$x=\frac{-2\pm2i\sqrt{6}}{2}$

$x=-1\pm \sqrt{6}i$

5 0

3 years ago

9) Solve by the elimination method.<br><br> x + y = -5<br> x - y = 11

vlabodo [156]

<h2><u>Answer:</u></h2>

x = 3

y = -8

<h2><u>Step-by-step explanation:</u></h2>

x + y = -5

x - y = 11

Since the y's will cancel out, we don't need to modify the two equations in any way.

Now, just add the two equations.

x + x = 2x

y + (-y) = 0

-5 + 11 = 6

2x = 6

Divide by 2.

x = 3

To find y, plug 3 in as "x" in one of the two equations.

3 + y = -5

y = -8

6 0

3 years ago

The sum of three guys ages is 62. Angelo is two years younger than Aaron and Alfred is four years older than twice Aaron's age.

marishachu [46]

Answer: Angelo is 13 years old.

Aaron is 15 years old

Alfred is 34 years old

Step-by-step explanation:

Let x represent the age of Angelo.

Let y represent the age of Aaron.

Let z represent the age of Alfred

The sum of three guys ages is 62. It means that

x + y + z = 62 - - - - - - - - - - -1

Angelo is two years younger than Aaron. It means that

x = y - 2

Alfred is four years older than twice Aaron's age. It means that

z = 2y + 4

Substituting x = y - 2 and z = 2y + 4 into equation 1, it becomes

y - 2 + y + 2y + 4 = 62

4y + 2 = 62

4y = 62 - 2 = 60

y = 60/4 = 15

x = y - 2 = 15 - 2

x = 13

z = 2y + 4 = 2 × 15 + 4

z = 34

6 0

3 years ago

I need help with this....

Vanyuwa [196]

Answer: x=4

Step-by-step explanation:

because 5x2=10 since there are 5 boxes and you subtract 10 from 30 so you get 20 and then you divide 20 by 5 for each box and get 4

(4+2)x5=30

hope this helps

6 0

2 years ago

Read 2 more answers

What’s the gcf of 18k and 15k cubed?

Contact [7]

Answer:

The GCF for the variable part is

k

Step-by-step explanation:

Since

18

k

,

15

k

3

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for

18

k

,

15

k

3

:

1. Find the GCF for the numerical part

18

,

15

2. Find the GCF for the variable part

k

1

,

k

3

3. Multiply the values together

Find the common factors for the numerical part:

18

,

15

The factors for

18

are

1

,

2

,

3

,

6

,

9

,

18

.

Tap for more steps...

1

,

2

,

3

,

6

,

9

,

18

The factors for

15

are

1

,

3

,

5

,

15

.

Tap for more steps...

1

,

3

,

5

,

15

List all the factors for

18

,

15

to find the common factors.

18

:

1

,

2

,

3

,

6

,

9

,

18

15

:

1

,

3

,

5

,

15

The common factors for

18

,

15

are

1

,

3

.

1

,

3

The GCF for the numerical part is

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

k

,

k

3

The factor for

k

1

is

k

itself.

k

The factors for

k

3

are

k

⋅

k

⋅

k

.

k

⋅

k

⋅

k

List all the factors for

k

1

,

k

3

to find the common factors.

k

1

=

k

3

=

k

⋅

k

⋅

k

The common factor for the variables

k

1

,

k

3

is

k

.

k

The GCF for the variable part is

k

.

GCF

Variable

=

k

Multiply the GCF of the numerical part

3

and the GCF of the variable part

k

.

3

k

3 0

3 years ago