Find the discriminant and the number of real roots for this equation.

4x2 + 12x + 9 = 0

A. -144; one real root

B. -144; no real roots

C. 0; one real root

D. 0; two real roots

Answers

Answer 1

Discriminant and the number of real roots for this equation are 0, one real root.

What is discriminant?

Discriminant of a polynomial in math is a function of the coefficients of the polynomial.

The discriminant of a quadratic equation ax2 + bx + c = 0 is in terms of its coefficients a, b, and c. i.e.,

Discriminant = [tex]\sqrt{b^{2} -4ac}[/tex]

Given equation

[tex]4x^{2} +12x+9 = 0[/tex]

Discriminant = [tex]\sqrt{b^{2} -4ac}[/tex]

= [tex]\sqrt{12^{2}-4(4)(9) }[/tex]

= [tex]\sqrt{144-144}[/tex]

D = 0

Therefore, number of real roots is one.

Hence, discriminant and the number of real roots for this equation are 0, one real root.

Find out more information about discriminant here

https://brainly.com/question/17376136

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Related Questions

Please please help i really need this..
The length of a rectangular fenced enclosure is 12 feet more than the width

If farmer Dan has 100 feet of fencing, find the dimensions of the rectangle with the largest perimeter that can be created using 100 feet of fencing.

Answers

Answer:

length = 31 ft

width = 19ft

largest perimeter = 100 ft

Step-by-step explanation:

Let’s say the variable is x, if you draw a rectangle, you’d lable the length as 12+x (because the length is 12 ft longer than the width) and you’d lable the width as x.

Then you’d multply both terms by 2 (and add them up):

2(12+x) + 2(x)

Once you distribute and add...

24 + 2x + 2x

24 + 4x

Then you’d set that equal to 100, since that’s the amount of fencing Dan has:

24 + 4x = 100

Subtract 24 on both sides:

4x = 76

Divide by 4 on both sides:

x = 19

Then you found the width, now to find the length, just add x to 12 (which equals to 31).

Add all the sides up and it equals to 100, which is the largest perimeter than can be created using 100 ft of fencing.

Hope this helped :)

FREE WUEUHWJWNWNSISJWNWKSIWJWJJSJWJW

Please help meeeee, aw man

Answers

Answer:

a and d probably?

Step-by-step explanation:

Answer:

a and d

Step-by-step explanation:

The volume of the rectangular prism is 16 cubic cm. The length is 2 and 1/3 cm and the width is 4 cm. What is the height?

Answers

Answer:

The answer is 1 and 5/7 cm

Step-by-step explanation:

The Wilson Park Pool has 80,000 gallons of water that is being drained at a rate of 4000 gallons per day. How many days has the pool been draining if the water level is at 68,000 gallons?

Answers

Answer: 3 days

Step-by-step explanation:

1) 80,000 - 68,000 = 12,000

2) 12,000 / 4,000 = 3

3) Answer = 3 days!

help me pleaseeeeeeeeeeeeeeeeeeeeee plz

Answers

Answer:

31/33

Step-by-step explanation:

stick around, ill be posting more

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Answer:

110

Step-by-step explanation:

corresponding angles

Help. Homework Math. Due Tomorrow.

Answers

Answer:

8. is B

9. is D

10. is a

Step-by-step explanation:

A quotient is always over any number

8=B
9=D
10=A

Hope this helps! Have a great day :)

Which is the net for this triangular prism?

Answers

Bottom right corner would be the correct answer

Find the volume of the figure. Round answers to the nearest hundredth, if necessary. Use 3.14 for pi.

Answers

Answer:

602.88

Step-by-step explanation:

V=π[tex]r^{2}[/tex]h

Answer: 602.88

Step-by-step explanation: 3.14 x r^2 x h = 3.14 x 16 x 12

Please help me asap!

Answers

Answer:

6. [tex]\sqrt{28}[/tex]

7. [tex]2\sqrt{29}[/tex]

8. [tex]\sqrt{317}[/tex]

BRAINLIEST?

Answer:

We're gonna need a coordinate plain for that.

Step-by-step explanation:

Carlos recorded the weight of several bags of potatoes. He then counted the number of potatoes in each bag. The scatterplot below represents the relationship between the number of potatoes in a bag and the weight of the bag.

A.10 pounds
B.8 pounds
C.55 pounds
D.50 pounds

Answers

Answer:

A

Step-by-step explanation:

Answer: let me know when you repost the question

Step-by-step explanation:

3n-3+10+2n=10 help plz show work

Answers

Answer:

n=3/5

Step-by-step explanation:

3n−3+10+2n=10

Step 1: Simplify both sides of the equation.

3n−3+10+2n=10

3n+−3+10+2n=10

(3n+2n)+(−3+10)=10(Combine Like Terms)

5n+7=10

5n+7=10

Step 2: Subtract 7 from both sides.

5n+7−7=10−7

5n=3

Step 3: Divide both sides by 5.

5n /5

= 3 /5

n= 3 /5

Answer:

n=3/5

Step-by-step explanation:

3n-3+10+2n=10  Combine like terms.

5n+7=10              Subtract 7 from both sides.

    -7  -7

5n=3                    Divide both sides by 5.

/5  /5

n=3/5

Hope this helps and have an amazing day ^^

What is 75/8. I am bad a division. I am offering 10 points for it. PLEASE ANSWER!!!!

Answers

Answer:

9.375

Step-by-step explanation:

9

8 | 7 5

7 2

3

9 with a remainder of 3

~~~~~~~~

9 . 3 7 5

8 | 7 5 .

7 2 .

3 . 0

2 . 4

6 0

5 6

4 0

4 0

9.375

Please I need help on this question.

Answers

Answer:

126mm

Step-by-step explanation:

To find the diameter of the circle = circumference divided by pi = 56.52/3.14=18mm.

There are 4 circles = 18mmx4=72mm

Add on the 3x strips = 72+(18x3) = 126mm.

Hope this helps

what is the value of y in this equation. 3y - 5 = 2y

Answers

Answer:

y=5

Step-by-step explanation:

3y-5=2y

3y-2y=5

y=5

Answer:

y=5

Step-by-step explanation:

3y-5=2y

/add 5 to both sides/

3y-5+5=2y+5

simplify

3y=2y+5

subtract 2y from both sides

3y-2y=2y+5-2y

simplify

y=5

Make a sketch of the cross section resulting from the slice shown in the right square pyramid below. Then, using complete sentences, describe the cross section.

Answers

Answer:3

Step-by-step explanation:

38+s6$

Write an algebraic expression from: A number times 7 minus 2

Tyler is saving to buy a new laptop. He has saved $119 so far. Let c represent the cost of the new laptop. Write an algebraic expression that represents the amount of money Noah still needs to save.

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Use mathsmatics the app it gives u the answer

whats the measure of the angles (SHOW YOUR WORK so I can understand)

Answers

Answer:

Angle DEB: 52

Angle ADB: 30

Angle CBE: 52

Angle BEC: 38

Step-by-step explanation:

Angle DEB = 52 because triangles' angles must add up to 180. Angle ADB is 30 because it is complementary to angle BDE. Angle CBE is 52 because angle BEC is complementary to BED which is 52 degrees to BEC is 38 degrees. since the angles add up to 180, and C is 90, CBE is 52. Finally, BEC is 38 because it is complementary to BED.

I was just wondering if anyone could please help me?

Answers

Answer:

The first and 3rd one go to number 1 and the other 2 go to number 2

Step-by-step explanation:

Choose one
In the Pythagorean Theorem, the (two shortest sides or one short side and the hypotenuse) must always be substituted for the side lengths, not (a short side or the hypotenuse)

Answers

The hypotenuse is always opposite the right angle and it is always the longest side of the triangle. To find the length of leg a, substitute the known

HI! im asking this again i know but could someone please tell me the answer? Will give brainliest and if you dont know DONT ANSWER OR I WILL HAVE TO REPORT!
Evan collected data about the amount of time each student in his math class spends studying. If the range of these data is 2, what does this reveal about the data?

A:All the students in his math class spend exactly 2 hours studying.
B:All the students in his math class spend an average of 2 hours studying.
C:The smallest and largest data values are 2 units away from each other.
D:The middle data value for time spent studying by all students in his class is 2 hours.

Answers

Answer:

its C

Step-by-step explanation:

C: The smallest and largest data values are 2 units away from each other.

have a good day! :)

Answer:

It's C. The smallest and largest data values are 2 units away from each other.

Step-by-step explanation:

I took the test and got it right. You can give the other person brainliest because they answered first.

pls help with 19 its due in 15

Answers

Answer:

5

Step-by-step explanation:

The answer with this problem is 5

I. Label the parts

1. 23 is 66% of 35

a. What is the part? ___

b. what is the whole? ____

c. what is the percent? ____

2. Lou correctly answered 20 of the 32 questions on his math test. He answered 62.5% of the questions correctly.

a. What is the part? ___

b. what is the whole? ____

c. what is the percent? ____

II. Find the percent of each question.

3. 41 is what percent of 50? _____

4. Each of the theaters in the Charleston Cinema has 3 seats. There are a total of 18 seats in Charleston Cinema. What percent of the seats are in each theater? _________

5. 14 is what percent of 50? _______________

Answers

Step-by-step explanation:

Question number 1 The part is 23 and the whole is 35 and the percent is 66%.

Question number 2 is The part is 20 and the whole is 32 and the percent is 62.5%.

Question number 3 is 41 is 82% of 50.

Question number 4 is 3 is 6%of 18.

Question number 5 is 14 is 28% of 50.

1. the part: 23 the whole: 35 the percent: 66%
2. part: 20 the whole: 32 the percent: 62.5%

Select all the expressions that are equal to (1.5)3

5.0625
3.375
4.5
2.25 × 1.5
2.5 × 1.25

Answers

Answer:

5 ÷ 2

-2(-1.25)

I don't get it and I have tried it multiple ways

Answers

9514 1404 393

Answer:

  9350 m²

Step-by-step explanation:

There are several ways you can go at this. Here are 3 of them:

along an extension of the lower right vertical edge, divide the figure into a rectangle and a right triangle.between the upper left corner and the inside corner at lower right draw a diagonal line to divide the figure into a trapezoid and a triangle.subtract the area of the trapezoid at the right from the area of the bounding rectangle

__

The relevant formulas for area are ...

  rectangle: A = LW . . . . . . . . . . . length times width

  trapezoid: A = (1/2)(b1 +b2)h . . . b1, b2 are the bases, h is the height

  triangle: A = (1/2)bh . . . . . . . . . . . b is the base, h is the height

__

Here's what those computations look like:

1. rectangle: 60m wide by 80 m high = 4800 m².

  right triangle: base 190-60 = 130 m; height = 80-10 = 70 m.

     area = (1/2)(130 m)(70 m) = 4550 m²

  figure area = 4800 m² +4550 m² = 9350 m² . . . . area of figure

__

2. The trapezoid has bases of 80 m and 10 m, and a height of 60 m. Its area is ...

  A = (1/2)(80 m +10 m)(60 m) = 2700 m²

The triangle has a base of 190 m and a height of 80-10 = 70 m. Its area is ...

  A = (1/2)(190 m)(70 m) = 6650 m²

Then the total area is 2700 m² +6650 m² = 9350 m² . . . total area

__

3. The bounding rectangle is 190 m by 80 m, so its area is ...

  A = LW = (190 m)(80 m) = 15200 m²

The (negative) trapezoid at right has bases of 10 m and 80 m, and a width of 190-60 = 130 m. Its area is ...

  A = (1/2)(10 m +80 m)(130 m) = 5850 m²

The area of the figure is the difference between these:

  figure area = 15200 m² -5850 m² = 9350 m² . . . figure area

PLEASE NO TROLLS
Find the measure of angle A

Answers

Answer is: 50
the outside angle is equal to the remote interior angles.
120=15x+5+22x+4
combine like terms
120=37x+9
minus 9 both sides
111=37x divide by 37 both sides
x=3
Now substitute x
15x+5=A
15(3)+5=A
45+5=A
50=A

tell me the two correct answers ASAP.

Answers

I'm outside your house right now Mark. In Onsted Michigan

Your school is Onsted Community Schools.

Today only, a desk is being sold at a 15% discount. The sale price is 629. What was the price yesterday?

Answers

yuh what they said.

what is 234+3465 i need help

Answers

Answer:

3699

Step-by-step explanation:

6(4-z)=2z what does z equal

Answers

Answer:

Z=3

That's the answer.......

The answer is 3
Explanation
6(4 - z) =2z
24 - 6z =2z
24 =2z +6z
24 =8z
z=24 :8
z=3

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