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 = \(\sqrt{b^{2} -4ac}\)

Given equation

\(4x^{2} +12x+9 = 0\)

Discriminant = \(\sqrt{b^{2} -4ac}\)

= \(\sqrt{12^{2}-4(4)(9) }\)

= \(\sqrt{144-144}\)

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.

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Related Questions

What is 2 8 10 +(−3.5) in decimal form? Show your work

Answers

Answer:

2806.5

Step-by-step explanation:

Mark me as brainliest

it's 2806.5 because i multiplied

Please help will give brainliest

Please help will give brainliest

Answers

Answer:

B) 28 inches.

Step-by-step explanation:

After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.

And we want to find the length of the shorter ribbon from the two remaining pieces.

We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:

\(\displaystyle \frac{1}{8}L=9\)

Where L represents the total length of the ribbon.

Solve for the total length:

\(\displaystyle L=72\text{ inches}\)

So, the original length of the ribbon was 72 inches.

Since we threw away 9 inches of it, we now only have 63 inches.

This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:

\((4x)+(5x)=63\)

Solve for x:

\(9x=63\Rightarrow x=7\)

Hence, the two remaining ribbons measure 28 inches and 35 inches.

Therefore, our answer is B.

B) 28 hope this helps!!

Dan made a scale drawing of a summer camp. The scale of the drawing was 5 centimeters : 3 meters. The sand volleyball court is 9 meters wide in real life. How wide is the volleyball court in the drawing?
centimeters ______

Answers

Answer:

Step-by-step explanation:

9 divided by 3=3

3 times 5=15

Final answer:

To find the width of the volleyball court in the scale drawing, we set up a proportion using the scale (5cm : 3m) and the real-life width (9m). Solving the proportion (5cm : 3m = x : 9m) gives us a drawing width of 15cm.

Explanation:

The first step to solve this problem is to set up a proportion. In Dan's drawing, 5 centimeters represents 3 meters in real life. So we can write the first ratio as 5cm : 3m. We know in real life the volleyball court is 9 meters wide, so to find out how wide it is in the drawing we set up the proportion 5cm : 3m = x : 9m. To solve for x, we cross multiply and divide. (5cm * 9m) / 3m = 15cm. Thus, the width of the volleyball court in the drawing is 15 cm.

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Finnish the sentences based off the graph

Thanks :) 30 points!!!

Finnish the sentences based off the graph Thanks :) 30 points!!!
Finnish the sentences based off the graph Thanks :) 30 points!!!
Finnish the sentences based off the graph Thanks :) 30 points!!!
Finnish the sentences based off the graph Thanks :) 30 points!!!
Finnish the sentences based off the graph Thanks :) 30 points!!!

Answers

Answer:

Step-by-step explanation:

2. y interecept --> y = 1

3. pi

4. 1, 0

What the person above me said

Bricen typed 1/5 of his essay in 2/5 hours. At this rate, how long will it take Bricen to complete typing his essay?

Answers

Answer: 10 hours

Step-by-step explanation: in 2 hours he can get 1/5 of his work dont but 2 times 5 equal 10

The answer is 12/5 hours because 2/5 hours times 5 equals 12/5

The equation g equals three fifths' times m represents the proportional relationship of the number of gallons of water (g) used by a washing machine over a certain period of time, in minutes (m). Create a written description for the equation

best answer will get brainiest

Answers

Answer:

For each gallon of of water the washing machine uses, it runs for three-fifths of a minute

Step-by-step explanation:

Solve the equation.

23=z15

Answers

Answer:

\(23 = z \times 15\)

Divide boty sides by 15

\(z = \frac{23}{15} = 1.53\)

The value of z is 23/15

help ASAP. Seventh grade math!!

In February of 2006, there was a
record snowfall of 26.9 inches in one
day in New York City. The normal
snowfall for the month of February in
New York City is 8.5 inches and March
is 5.1 inches. How much more snow
fell in the one day storm in 2006 than
normally falls in February and March
combined

Answers

Answer:

13.3

Step-by-step explanation:

Since 8.5 fell in February and 5.1 fell in March. We can add these two numbers together to see what the total is combined normally.

8.5 + 5.1 = 13.6

The record was 26.9, so we'll take this number and subtract it from 13.6 to see how much more fell in one day than the normal

26.9-13.6= 13.3

Find the solution set of the inequality.
10c + 5 ≤ 45

Answers

The answer is C < 4
-
C < 4 creo no estoy seguro

Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)

Answers

Answer:

Sure, I'll explain the cosine rule and sine rule in simple terms:

The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Here's an example of how to use the cosine

Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.

Using the cosine rule:

a^2 = b^2 + c^2 - 2bc * cosA

where A is the angle opposite side a, we can plug in our values and solve for a:

a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)

a^2 = 64 + 36 - 96 * 0.707

a^2 = 10.56

a = sqrt(10.56)

a = 3.25 (rounded to two decimal places)

Therefore, the length of side a is approximately 3.25 units.

Answer:

Step-by-step explanation:

What's 2√5 + 3√125 step by step pls.
thanks

Answers

Answer:

Step-by-step explanation:

2\(\sqrt{5\) + 3\(\sqrt{125\)

=2\(\sqrt{5\) +3\(\sqrt{5*5*5\)

=2\(\sqrt{5\) +5*3\(\sqrt{5\)

=2\(\sqrt{5\) +15\(\sqrt{5\)

=(2+15)\(\sqrt{5\)

=17\(\sqrt{5\)

I’m not sure, but try this.
What's 25 + 3125 step by step pls.thanks

HELPPP!!!
Area of Composed Figures.

HELPPP!!!Area of Composed Figures.

Answers

Answer:

3

Step-by-step explanation:

She’s a DJ she she sh she she she should she e the eje he she eje he w

Please help asap!!!!

Please help asap!!!!

Answers

Answer:

i think you should do multiplication  

Step-by-step explanation:  I hope that helps.

Split the shape into different shapes, then do the correct formula. Triangle A = 1/2 BH Rectangle A = BH Square A= s2 Trapezoid A = 1/2 h(b1+b2)

Write the expression as a number in scientific notation.
Pls help me or I'm gonna fail :(

Write the expression as a number in scientific notation.Pls help me or I'm gonna fail :(

Answers

Answer:

(5 x 10^7)(6 x 10^4)= 3 x 10^12 is the answer in scientific notation

Answer:

As a professional failure, I shall try this.

3.5 * 10^3

In 56 years, Kevin will be 9 times as old as he is now

How old is Kevin now?

Answers

Answer:

correct answer is 7 years

Step-by-step explanation:

A+56=9(A)

56+9A

A=7

he will be 7 years old he is pretty old

Answer:

Kevin is 7 years old right now.

Step-by-step explanation:

Let x be Kevin's age right now, that's what we're trying to find.

In 56 years, he'll be 9 times older than he is now, so we can say:

x + 56 = 9x

Now we can get the x values on the right side of the equation so that:

56 = 8x

Now solve for x and you have his current age which is 7.

11. A scuba diver's elevation changed by -123 feet every minute. This was
1½ times the rate of change for a second scuba diver. What was the rate of
change in elevation of the second scuba diver in feet per minute?

Answers

Answer:

The rate of change in elevation for the second scuba diver is -82 feet per minute.

Step-by-step explanation:

-123 feet every minute.

1.5x more than 2nd diver.

-123/1.5 = 2nd diver rate

2nd diver rate = -82

The rate of change in elevation of the second scuba diver in feet per minute is -82 feet per second.

Given that, a scuba diver's elevation changed by -123 feet every minute.

What is constant rate of change?

When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half  hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.

1½=1.5 times the rate of change for a second scuba diver

Now, rate of change in elevation of the second scuba diver

= -123/1.5

= -82 feet per second

Hence, the rate of change in elevation of the second scuba diver in feet per minute is -82 feet per second.

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Please if you can, help me it's needed to. thank you. :)

Please if you can, help me it's needed to. thank you. :)

Answers

Answer:

Hey there!

1 liter is equal to 1000 milliliters.

0.25 liters is equal to 250 milliliters.

One mega meter is equal to 1000000 meters.

1.2 Mm= 1200000 meters.

Hope this helps :)

Step-by-step explanation:

1l = 1000ml

Convert 0.25 litres to milliliters

0.25 x 1000 = 250 ml

1 megametre = 1000000

1.2 x 1000000= 1200000m

What is the shape of the cross section of the figure shown?

What is the shape of the cross section of the figure shown?

Answers

Answer:

triangle

Step-by-step explanation:

Answer:

triangle

Step-by-step explanation:

Mike sold half of his comic books and then bought 9 more. He now has 16. How many did he begin with?

Answers

Answer:14

Step-by-step explanation:

Answer:

Mike had 14 to begin with.

Step-by-step explanation:

16 - 9 = 7

7 x 2 = 14

14 / 2 = 7

9 + 7 = 16

help i want help plz help me

help i want help plz help me

Answers

Answer:

SA = 384 in ^2

Step-by-step explanation:

The surface area of a cube is given by

SA = 6 S ^2 where s is the side length

SA = 6 * (8) ^2

SA = 6 * 64

SA = 384 in ^2

Answer:

384 in^3

Step-by-step explanation:

To find the surface area of a cube, you have to multiply 6(the number of sides on a cube) by *(8)^2. When you plug it in, you get 384 in^3.

Three-eighths of the students in a certain class are males and 3/5 of the male

students in the class are accounting majors.

If 1/4 of the female students in the class are accounting majors, what fraction of

the students in the class are NOT accounting majors?

Answers

Answer:

3/5 of the students in the class are not in accounting majors

Step-by-step explanation:

The total number of males in the class is 3/8

3/5 of them are accounting majors

The ones who are not in accounting majors are;

3/8 - 3/5 = 9/40

The total number of female students in the class is;

8/8 - 3/8 = 5/8

1/4 of them are accounting majors

The ones who are not in accounting majors are;

5/8 - 1/4 = 3/8

Total number of students not in accounting majors;

9/40 + 3/8

= 24/40

= 3/5

if the students in class are not accounting majors it’s 3.5

HELP ASAP
Classify each pair of labeled angles as complementary, supplementary, or neither.

Drag and drop the choices into the boxes to correctly complete the table. Each category may have any number of pair of angles.
complementary supplementary neither

HELP ASAP Classify each pair of labeled angles as complementary, supplementary, or neither.Drag and drop
HELP ASAP Classify each pair of labeled angles as complementary, supplementary, or neither.Drag and drop
HELP ASAP Classify each pair of labeled angles as complementary, supplementary, or neither.Drag and drop

Answers

Step-by-step explanation:

Complementary angles are when the sum = 90

Supplementary angles are when the sum = 180

Pair 1:

\(90+89=179\)

This pair is neither

Pair 2:

\(63+47=110\)

Neither

Pair 3:

\(61+29=90\)

Complementary

I learned how to find the area of a triangle with 2 numbers (0.5*b*h), but how do you find the area with 4 numbers?

I learned how to find the area of a triangle with 2 numbers (0.5*b*h), but how do you find the area with

Answers

Answer:

area =12

Step-by-step explanation: you don't need to use all 4 numbers just used the base which is 8 then times it with 3 which gives you 24 then divided it by 2 which gives you 12.

Answer:

Area=12

Step-by-step explanation:

You take the height which is 3 and multiply it by the base which is 8. Then you get 24 and divide it by 2 which gives you 12.

*The 5s don't matter*

The histograms display the frequency of temperatures in two different locations in a 30-day period.

When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?

Mean, because Flower Town is symmetric
Mean, because Flower Town is skewed
Median, because Desert Landing is skewed
Median, because Desert Landing is symmetric

The histograms display the frequency of temperatures in two different locations in a 30-day period.When

Answers

Answer:

nobody asked

Step-by-step explanation:

Answer:

B) the mean because flower town is skewed

Step-by-step explanation:

I just did this on homework last night goodluck

which of the following types of yogurt has the greatest probability of being chosen?

(Non-fat, Low-fat, Lemon, Banana)

which of the following types of yogurt has the greatest probability of being chosen?(Non-fat, Low-fat,

Answers

low fat

mark me brainliest

The greatest probability of being chosen is for low fat.

What is probability?

Probability is the ration of favorable outcomes and total number of outcomes.

According to the given quantity

Sum of low fat quantity :

3+6+7 = 16

Sum of non fat quantity:

5+2+1 = 8

So the total quantity = 24

The probability to choose low fat yogurt

= (sum of low fat quantity)/(total quantity)

= 16/24

= 8/3

The probability to choose non fat yogurt

= (sum of non fat quantity)/(total quantity)

= 8/24

=1/3

The probability to choose lemon yogurt

= (sum of quantity of lemon)/(total quantity)

= (6+2)/24

= 8/24

= 1/3

The probability to choose lemon yogurt

= (sum of quantity of Banana)/(total quantity)

= 8/24

=1/3

Hence probability of getting low fat yogurt = 8/3 is greater.

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4:00 am to 8:00 is how many hours

Answers

Answer:

10 hours

Step-by-step explanation:

assuming its 8pm if its 8 am 4 hours

4am to 8 am or pm…


4:00 am - 8:00 pm = 16 hours
4:00 am - 8:00 am = 4 hours

O.234 + 2.07 =



Pls help

O.234 + 2.07 = Pls help

Answers

2.304 , 4+0= 0 3+7=10 drop 0 carry one that makes a 3 0+2=2 keep the decimal in the same place and you get 2.304

Please help me

What's the answer to this problem?


3 x [26 - 2 x (3 + 6)]

Answers

Answer:

21x+26

Step-by-step explanation:

3x [26-6x+12x]

3x[26+18x]

21x+26

could be wrong tho

Answer:

648

Step-by-step explanation:

Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 6 cm, 8 cm, 10cm, and 12cm

Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths

Answers

Answer:

Answer is A

Step-by-step explanation:

My hand wont support me

5. There are 450 students attending High Desert Middle School. This year 34% of the students walk to school. Explain how you can use proportional reasoning to calculate the number of students that walk to school.​

Answers

Ok so look get a piece of paper write down the percent is it going up or down we don’t know that but since it’s nothing like clothes you use that but think. Of your problem as like if you went to a store and so clothes were 34 percent off you going to get the original percent and then your doing 450\x ok now I go over 34%\100 it’s always going to be one hundred but since we’re talking about something else here’s your answer your just gonna say the ratio in this problem and your going to use that calculator call Dezmos use the scientific one and it will give you the answer if put 450 then 34%
If you put 34% over 100 multiply 34 and 450 then you will have 15,300. Then divide 15,300 and 100.

ANSWER: 153
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If we can look at something, explore it, find layers of meaning in it, and draw information and conclusions from it, were looking at a text.Check Your Understanding: TextsMost of the texts youre exposed to in college will be hard (printed) copy or online written texts like books, articles, and essayscollege remains a rather traditional place, and these kinds of texts are still the most common types of learning material. But youll also be asked to explore other types of textual materials, and its good to be prepared.Which of these would be a kind of text?A graphic novel or comic bookA journal written by a 15 year oldA series of photographsA poemA movieA memeA Tic Toc videoA mural or sculptureReflect:After considering the concept of a text, describe some of the different types of texts you engage daily, provide three specific examples of text you regularly engage, and explain the contexts (settings) in which you engage them (150 words). fill in the blank. 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