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mars1129 [50]
3 years ago
8

What is the sum of the roots of the polynomial shown below? x^3+2x^2-11x-12

Mathematics
1 answer:
tekilochka [14]3 years ago
8 0
The answer to your question is -2.
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Use the method of completing the square to solve x2 - 6x + 1 = 0. Simplify your solutions.
exis [7]

Answer:

x = 3 ± 2\sqrt{2}

Step-by-step explanation:

given

x² - 6x + 1 = 0 ( subtract 1 from both sides )

x² - 6x = - 1

To complete the square

add (half the coefficient of the x- term)² to both sides

x² - 6x + (- 3)² = - 1 + (- 3)²

x² - 6x + 9 = - 1 + 9

(x - 3)² = 8 ( take the square root of both sides )

x - 3 = ± \sqrt{8} = ± 2\sqrt{2} ( add 3 to both sides )

x = 3 ± 2\sqrt{2}

8 0
3 years ago
Liliana use for dark power crystals to raise 14 zombie soldiers she wants to know how many zombie soldiers Z she can race with 1
laiz [17]

Answer:

140 zombies

Step-by-step explanation:

Since this is a proportions problem and we are given three values and a variable we must solve for which is the number of zombie soldiers she can raise (z) with 10 dark power crystals. Therefore, we can use the rule of three to solve for this, in which we multiply the diagonal values and divide by the last remaining value in order to solve for the variable like so...

1 crystal <===>  14 zombies

10 crystals  <===>   Z zombies

(10 * 14) / 1 = 140 zombies

4 0
2 years ago
The table shows the relationship
Airida [17]

The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 0.03 + 0

  • Change in weight per day of hibernation = - 0.03
  • Change in weight for 115 days = - 3.45 ounces

A linear model can be created using the data in the table given using a regression calculator or excel ;

The linear model obtained in the form y = m + bx is :

  • y = - 0.03x + 0
  • y = change in weight
  • x = number of days of hibernation
  • Intercept = 0
  • Slope = -0.03

  • The slope value of the function gives the change in weight value per number of days of hibernation ; which is -0.03.

  • Using the regression equation, substitute, the vlaue of x = 115
  • -0.03(115) + 0 = - 3.45

Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.

Learn more :brainly.com/question/18405415

8 0
2 years ago
I WILL MARK YOU BRAINLYEST if you answer all of my problems !!!!!!!!!!!
Romashka [77]

First, let's convert each line to slope-intercept form to better see the slopes.

Isolate the y variable for each equation.

2x + 6y = -12

Subtract 2x from both sides.

6y = -12 - 2x

Divide both sides by 6.

y = -2 - 1/3x

Rearrange.

y = -1/3x - 2


Line b:

2y = 3x - 10

Divide both sides by 2.

y = 1.5x - 5


Line c:

3x - 2y = -4

Add 2y to both sides.

3x = -4 + 2y

Add 4 to both sides.

2y = 3x + 4

Divide both sides by 2.

y = 1.5x + 2


Now, let's compare our new equations:

Line a: y = -1/3x - 2

Line b: y = 1.5x - 5

Line c: y = 1.5x + 2

Now, the rule for parallel and perpendicular lines is as follows:

For two lines to be parallel, they must have equal slopes.

For two lines to be perpendicular, one must have the negative reciprocal of the other.

In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.

However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.

<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
8 0
3 years ago
Please do 81 cookies and distributed 44
AveGali [126]
I’m not quite sure what the question is, but 81 cookies distributed among 44 people would mean that each person gets 0.02 cookies each.
5 0
3 years ago
Read 2 more answers
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