Examine the quadratic equation 9x^2+12x +4= 0.
A: What is the discriminant of the quadratic equation?
B: Based on the discriminant, how many roots does the equation have?
C: State whether the root(s) are real or complex.

Answers

Answer 1

Answer:

See answers and explanations

Step-by-step explanation:

A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0

B) Since the discriminant is 0, this means the equation only has one root.

C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)


Related Questions

Are the two figures below similar?

Answers

Answer:

No

Step-by-step explanation:

While both legs of the triangle are similar with a ratio of 3:4, the hypotenuses of the triangles have a ratio of 8:11

Evaluate the expression shown below and write your answer as a fraction in simplest form 2/9 - 11/15

Plz solve asap

Answers

Answer:

-23/45

Step-by-step explanation:

2/9-11/15

2×5/9×3-11×3/15×3

10/45-33/45

10-33/45

-23/45

decimal form:-0.51

Answer:

217247812842747328hjedhsba309

Step-by-step explanation:

sdmfdskhc

Compare the two data sets. Do they have the same center, or is the center of Walden’s data set greater or less than the center of Drake’s data set?

Answers

Answer:

Walden’s data ranges from 2 to 4, and Drake’s data set ranges from 3 to 9. Drake’s data set has a greater spread than Walden’s data set.

Step-by-step explanation:

The mean of the data set shown in the table is 57. What is the mean absolute deviation?
6
9
9.5
12

Answers

Answer:

The answer is 9

Step-by-step explanation:

Answer:

9 or B

Step-by-step explanation:

Got it right on Edge2021

PLSSS HELP EASYY MATH HELPPP

How many of each different 2-D shapes do you see?

Answers

Yea the answer is 6.

Write an equation of the perpendicular bisector of the segment with endpoints M(-3,4) and N(9,8).​

Answers

Answer:

y= -3+15

please mark in brain list

BRAINLIEST TO CORRECT ANSWER! :) NO links as answers, or you will be reported!! (question 20)

Answers

It’s c if it’s not it’s B

Convert the following angle from degrees to radians. Express your answer in simplest
form.
375°

Answers

Answer:

25 π /12  radians

Step-by-step explanation:

To convert degrees to radians, multiply by  π /180 , since a full circle is  

360  or  2 π  radians.

Cancel the common factor of  15  

Factor  15  out of  375

15 (25).  π/ 180  radians

Factor  

15  out of  180  

15.  25 ⋅ π/ 15 ⋅ 12  radians

Cancel the common factor.

15

⋅ 25 ⋅ π/ 15 ⋅ 12  radians

Rewrite the expression.

25 ⋅ π/ 12  radians

Combine  

25  and   π /12  

25 π /12  radians

Which one is larger: The surface area of a sphere with
radius r inches or the combined area of three circles
each of radius r inches? How do you know?

Answers

Answer:

Step-by-step explanation:

formula for surface area of a sphere is

A = 4πr^2

for a circle the area is

A = πr^2

notice they are the same except for the 4 in front of the sphere... so which do you think is bigger

3 circles or 1 sphere.. that all have the same  "r"  ???

it's the sphere.. if you're really not sure

2/x+3/y=9
4/x+9/y=21​

Answers

Answer:

ok

Step-by-step explanation:

ok

Using the graph, determine the coordinates of the vertex of the parabola

Answers

Answer:

The vertex is (3,1)

Step-by-step explanation:

Answer:

(3, 1)

Step-by-step explanation:

Locate the vertex.  Here it represents the maximum value of this quadratic function.  The x-coordinate shown is 3 and the y-coordinate is 1.  Thus, the vertex is (3, 1).

Find x. Round to the nearest tenth and only type the number for your
answer.
25
X
16
22

Answers

Answer:

10.7

Step-by-step explanation:

To find x we have to basically do pythagoream theorem twice. Both the traingles share the same long side. The find the long side of the top traingle do, [tex]a^{2} +16^{2} =25^{2}[/tex], and we find the long side to be [tex]\sqrt{369}[/tex]. Using this we now plug it into the pythagoream theorem for the bottom triangle. [tex]\sqrt{369} ^{2} +x^{2} =22^{2}[/tex], and doing this out we find that x=[tex]\sqrt{115}[/tex] or about 10.7.

The equation 3x – 2y = 18 is in slope intercept
form.
If the y variable was isolated, it would be in
1
form.
(Use all lowercase letters when writing the answers)

Answers

Given:

The equation is:

[tex]3x-2y=18[/tex]

To find:

The slope intercept form of the given equation.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

We have,

[tex]3x-2y=18[/tex]

It is not in the slope intercept form.

We need to isolate variable y to get the slope intercept form.

The given equation can be rewritten as:

[tex]-2y=-3x+18[/tex]

[tex]y=\dfrac{-3x+18}{-2}[/tex]

[tex]y=\dfrac{-3x}{-2}+\dfrac{18}{-2}[/tex]

[tex]y=\dfrac{3}{2}x-9[/tex]

Therefore, the slope intercept form of the given equation is [tex]y=\dfrac{3}{2}x-9[/tex].

The measures of the angle of a triangle is shown in the figure below solve for X

Answers

When having the whole triangle equal to 180 degrees you can see that x=10 in the equation hope this helps!!!

Ricky made approximately 4 goal points for every 7 of his shots on goal. What is the probability that Ricky would make 2 goal points on two shots in a row during the season?

Answers

Given:

Ricky made approximately 4 goal points for every 7 of his shots on goal.

To find:

The probability that Ricky would make 2 goal points on two shots in a row during the season.

Solution:

Using the given information, the probability of a goal point on one shot is:

[tex]P(one\ goal)=\dfrac{4}{7}[/tex]

We need to find the probability that Ricky would make 2 goal points on two shots in a row during the season.

Since the both shots are independent events therefore,

[tex]P(Two\ goals)=P(one\ goal)\times P(one\ goal)[/tex]

[tex]P(Two\ goals)=\dfrac{4}{7}\times \dfrac{4}{7}[/tex]

[tex]P(Two\ goals)=\dfrac{16}{49}[/tex]

Therefore, the required probability is [tex]\dfrac{16}{49}[/tex].

5x-4<4(1+x) what is the answer and how do you do it

Answers

Answer:

Step-by-step explanation:

5x-4<4(1+x)

5x-4<4+4x

5x-4x<4+4

x<8

can someone pls help!!

Answers

Answer:

[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]

Step-by-step explanation:

When a quadratic equation is in the form [tex]y=a(x-h)^2+k[/tex] (vertex form):

The x-coordinate can be found by identifying which value makes [tex](x-h)^2[/tex] equal 0The y-coordinate can be found by identifying the k value (y=k)

Therefore, if the vertex of the function is at (2,-3), h needs to be 2 for [tex](x-h)^2[/tex]  to equal 0 and k needs to be -3. The only equation that displays this is G:

[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]

I hope this helps!

Solve for x in the diagram below (x+42)

Answers

Answer:

x = 12

Step-by-step explanation:

(x + 42)° + 3x° = 90°

x + 3x + 42 = 90

4x = 90 - 42

4x = 48

x = 12

Of the 60 students who auditioned in a singing contest, 40% were asked to come back for a second audition. After the second audition, 6 students were asked to come back for a final audition.

What percentage of the students from the second audition were asked to come back for the final audition?

Answers

Answer:

25%

Explanation:

60 • 0.4 = 24

6/24 = 0.25 / 25%

Proof:

24 • 0.25 = 6

a click beetle abruptly releases elastic energy stored in its body to launch itself into the air. the function h(t)=-16t^2+12t represents the height h (in feet) of the click beetle t seconds after launching. the height of a second click beetle t seconds after launching is shown in the graph. which click beetle went higher?

Answers

Answer:

The first click beetle reaches a maximum height of 2.25 feet. From the graph, you can see that the second click beetle reaches a maxium height of between 1.5 and 1.6 feet. So, the first click beetle went higher.

A beetle reaches a maximum height of 2.25 meters after 2,25 seconds

How to determine the maximum height?

The function is given as:

h(t)=-16t^2+12t

Differentiate

h'(t)= -32t + 12

Set to 0

-32t + 12 = 0

Add 32t to both sides

32t = 12

Divide both sides by 32

t = 0.375

Substitute t = 0.375 in h(t)

h(0.375) = -16 * 0.375^2 + 12 * 0.375

Evaluate

h(0.375) = 2.25

The above means that a beetle reaches a maximum height of 2.25 meters after 2,25 seconds

The other parts cannot be completed because the question is incomplete

Read more about quadratic functions at:

https://brainly.com/question/56877

Patricia tiene $80.000 sólo en billetes de $5.000, Camila tiene $60.000 sólo en billetes de $2.000 y Andrea tiene $120.000 sólo en billetes de $10.000. Cada una aportará la misma cantidad de dinero a un fondo para comprar un regalo a su madre, que tiene un valor de $90.000. ¿Con cuántos billetes se quedará Camila después de pagar su parte de la cuota?

Answers

Answer:

mmmm

Step-by-step explanation:

Select the correct answer which expression is in its simplest form?

Answers

Answer:

Step-by-step explanation:

Hey mate I guess for this Question The Answer is "A"

Hope you Get it right!

A metric unit that is equal to one thousandth of a liter is...

Answers

Answer:

mililiter

Step-by-step explanation:

Study the figure.
53
53
?
What is the measure of the missing exterior angle, in degrees?

Answers

Answer:

exterior angle is equal to the sum of two interior opposite angle

?=53+53=106°

missing exterior angle =106°

The measure of the exterior angle is 106°.

What is an exterior angle?

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it.

Given that, a triangle has two interior angles 53° and 53° and an exterior angle x,

Since, we know that, sum of opposite two interior angles of a triangle is equal to measure of exterior angle.

Therefore,

53° + 53° = x

x = 106°

Hence, the exterior angle is 106°

Learn more about exterior angles, click;

https://brainly.com/question/28835566

#SPJ2

$6,000 was invested at a simple interest rate. In 15 years, the
account was worth $9,600. What was the interest rate? Show all your
work!

Answers

Answer:

4.2%

Step-by-step explanation:

S.I=P×R×T R=I×100/R×T =6000×100/9600×15

=600000/144000

=4.2%

This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide
1.What is the area of one of the semicircles at either end of the track?
2.The school decided to cover the semicircles with grass to create a space for stretching and other activities. How many square yards of grass will the school need to cover the entire circle?
3.What is the distance around one of the semicircles at either end of the soccer field?
4.What is the distance around the inner lane of the track (i.e., the lane closest to the soccer field)? PLEASE HELP <3

Answers

Answer:

Step-by-step explanation:

1. 1923.25

2.about 3846.5 yards

3.219.91

4.639.82

Answer: See below

Step-by-step explanation:

1) 1/2 x 3.14 x 35^2

1/2 x 3.14 x 1225

1/2 x 3846.5

A = 1923.25 yd^2

2) (3.14)r^2

(3.14) (35)^2

3846.50 yd^2

3) P = d + (3.14)r^2

P = 70 + (3.14) (35)

P = 70 + 109.90

P = 179.90 yd

4) P = 2( l + w)

P = 2 (70 + 100)

P = 2 (170)

P = 340

Perimeter of the square minus the perimeter of the circle.

340 - 179.90 = 160.10 yd

A
5

B
10

C
6

D
4
pls help

Answers

Answer:

Pretty sure it's C.

Step-by-step explanation:

A and B are 6 units away from each other.

Answer:

C

Step-by-step explanation:

Count the boxes

find the area of the figure. (3.14 for pi)

Answers

Answer:

140

16x8=128

12-8=4

16-10=6

6x4=24

24/2=12

12+128=140

Please help will give brainliest!!!!!!!!

Answers

Answer:

1/ 8 ^2

Step-by-step explanation:

When we are dividing exponents with same base all we do is subtract the denominator by the numerator (the exponent)

In this scenario we have  8^3 / 8^5

We are saying 8 * 8 * 8 / 8 * 8 * 8 * 8 * 8   When we cancel out the 8's were left with 1 / 8^2

or we could just subtract if that method is too long

A full set of adult teeth has 160% as many teeth as a full set of baby teeth. How many teeth are there in a full set of adult teeth if there are 20 teeth in a full set of baby teeth

Answers

Answer:

The adult has 32 teeth

Step-by-step explanation:

20*.1.60=32

Answer:

32

Step-by-step explanation:

100% - 20   60% (20x0.60) 12 20+12 32

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