1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Margaret [11]
3 years ago
13

12n^2+12n+9=0 Please solve!

Mathematics
1 answer:
Bogdan [553]3 years ago
5 0

Answer:

n = (1/2)(-1 ± i√2)

Step-by-step explanation:

Among the several ways in which quadratic equations can be solved is the quadratic formula.  Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac:  12^2 - 4(12)(9) = 144 - 432 = -288.  The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots.  These roots are:

      -b ± √(discriminant)

n = ---------------------------------

                 2a

Here we have:

      -12 ± √(-288)           -12 ± i√2√144          -12 ± i12√2

n = ----------------------  =  ------------------------ =  --------------------

            2(12)                             24                           24

or:

n = (1/2)(-1 ± i√2)

You might be interested in
Solve for y: 6x-2y=-8
Stella [2.4K]
<span>6x-2y=-8
-2y =-6x-8
y = 3x+4

y= 3x+4</span>
4 0
3 years ago
Read 2 more answers
What is the slope of the line shown below?
IrinaVladis [17]
Answer:

D. 7/3

Explanation:

Y1 - Y2 / X1 - X2

9 - -5 / 6 - 0

9 + 5 / 6

14 / 6

7/3
3 0
3 years ago
How do I solve question 6 through 8?<br> Solve for me
rewona [7]

The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

<h3>How to determine the functions?</h3>

A quadratic function is represented as:

y = a(x - h)^2 + k

<u>Question #6</u>

The vertex of the graph is

(h, k) = (-1, 2)

So, we have:

y = a(x + 1)^2 + 2

The graph pass through the f(0) = -2

So, we have:

-2 = a(0 + 1)^2 + 2

Evaluate the like terms

a = -4

Substitute a = -4 in y = a(x + 1)^2 + 2

y = -4(x + 1)^2 + 2

<u>Question #7</u>

The vertex of the graph is

(h, k) = (2, 1)

So, we have:

y = a(x - 2)^2 + 1

The graph pass through (1, 3)

So, we have:

3 = a(1 - 2)^2 + 1

Evaluate the like terms

a = 2

Substitute a = 2 in y = a(x - 2)^2 + 1

y = 2(x - 2)^2 + 1

<u>Question #8</u>

The vertex of the graph is

(h, k) = (1, -2)

So, we have:

y = a(x - 1)^2 - 2

The graph pass through (0, -3)

So, we have:

-3 = a(0 - 1)^2 - 2

Evaluate the like terms

a = -1

Substitute a = -1 in y = a(x - 1)^2 - 2

y = -(x - 1)^2 - 2

Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

Read more about parabola at:

brainly.com/question/1480401

#SPJ1

5 0
1 year ago
Here are the prices of five new skateboards, in dollars: 75, 82, 100, 120, 140.
Lynna [10]

The standard deviation<u> </u><u>INCREASES</u>

Step-by-step explanation:

Standard deviation is used to show how the points of the data deviate from the mean. The formulae for deriving standard deviation is attached. As seen from the formulae, the greater the variance of the data from the mean, the higher the Standard Deviation.

The mean of the given data points is $103.4. $450 is way off from this mean meaning that there is a large variance in this data point.

8 0
3 years ago
X - y= -4 -2x +3y =6
STatiana [176]

Answer:

<em><u>x=-6, y=-2</u></em>, (As a point) (-6, -2).....The point form is not necessary unless you want to solve the system (of equations) by graphing.

Step-by-step explanation:

By substitution:

x-y=-4    By adding y on both sides,

x=y-4

Now you can substitute x for the expression (y-4)

Plug the (y-4) as x in the other equation.

So -2x+3y=6 becomes

-2(y-4)+3y=6

Now solve:

-2(y-4)+3y=6 distributes out to be

-2y+8+3y=6     Now combining like terms

y+8=6              Subtract 8 on both sides to isolate the variable

<u><em>y=-2</em></u>

Now plug the value -2 in where the y is in any equation (preferably the easier/less complicated one) and solve for x.

So x-y=-4 becomes

x-(-2)=-4

=x+2=-4

=<u><em>x=-6</em></u>

3 0
3 years ago
Other questions:
  • What do you notice about the two lines
    12·1 answer
  • How are the two angles related?
    12·2 answers
  • A restaurant offers a combo special with 3 different sandwiches, 2 different salads, and 5 different drinks. From how many diffe
    15·1 answer
  • Is it true that (x^2-3x+2)/(x-1) = x – 2, for all values of x? Justify your answer.
    13·2 answers
  • Please answer ASAP I really need help
    11·1 answer
  • Two circles of radius 8 are tangent to the graph of
    12·1 answer
  • If the vertex of a parabola is (2,3), what is the axis of symmetry?
    13·1 answer
  • I need help asap tysm​
    11·1 answer
  • Write the quadratic equation that has roots (-1-√2)/3 and (-1+√2)/3 , if it's coefficient with x^2 is equal to
    14·1 answer
  • The rectangle shown has a perimeter of 56 cm and the given area. Its length is 8 times more than three times its width. Write an
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!