Find the discriminant of the quadratic equation and indicate the number of roots: (3x^2)+2x+1=0

Answers

Answer 1

Answer:

This expression has no roots.

Step-by-step explanation:

Using the discriminant: b² - 4ac, we get:

2² - 4 × 3 × 1

= 4 - 12

= -8

So this equation has no real solutions.  Let's prove that by trying to solve for x:

3x² + 2x + 1 = 0

9x² + 6x + 3 = 0

9x² + 6x + 1 = -2

(3x + 1)² = -2

3x + 1 = i√2

3x = -1 ± i√2

x = (-1 ± i√2) / 3

The only solutions available then are indeed complex.

Answer 2

This expression has no roots. the discriminant of the equation is -8.


What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Using the discriminant: b² - 4ac, we get:

2² - 4 × 3 × 1

= 4 - 12

= -8

So this equation has no real solutions.  Let's prove that by trying to solve for x:

3x² + 2x + 1 = 0

9x² + 6x + 3 = 0

9x² + 6x + 1 = -2

(3x + 1)² = -2

3x + 1 = i√2

3x = -1 ± i√2

x = (-1 ± i√2) / 3

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Related Questions

The reflection of point s across the y-axis is point_ the reflection of point

Answers

Answer:

Point V

Step-by-step explanation:

i think

It is point V because you just go across the y axis how ever many points point S is to start with

What is the volume of this composite solid?
6 m
5 m
12 m
9 m

Answers

the answer is 864 cubic meters

Answer:

864 my brother

Step-by-step explanation:

Part B: Which of the following statements
accurately describes the shape, center, and
spread of the data?
O A. The range is 9, there is a gap at 94, the
distribution is skewed right, and there is a peak
at 96.
o B. The median is 96, there is a gap at 92, a peak
at 96, and the distribution is symmetrical.
O C. The mode is 96, there are gaps at 92 and 94,
the distribution is skewed left, and 90 and 91
are outliers.
D. The mean is about 95.5, there are no gaps, the
distribution is symmetrical, and 90 is an outlier

Answers

Answer:

c

Step-by-step explanation:

because that would be the wrong one


Complete the table below to find solutions to the linear equation 4x + y = -40.

Answers

Answer:

(1,-44), (2,-48),(3,-52).......

Step-by-step explanation:

4(1)+y=-40

4+y=-40

y=-40-4

y=-44

(1,-44)

.

.

.

(x,y)

(0,−40)

(2,−48)

(−10,0)

Charlie made $198 for 11 hours of work. At the same rate, how many hours would he have to work to make $126? ​

Answers

Answer:

Charlie would have to work 7 hours to make $126.

Step-by-step explanation:

198 ÷ 11 = 18

$18 - 1 hour

126 ÷ 18 = 7

Figure ABCD is a rectangle. Find the
value of x.
С
B
2x + 4
E
7X-1
А
D
x = [?]
PLEASE HELP‼️

Answers

2x+4=7x-1
5x=5
X=1
Thank you

The value of x for the two lengths of the diagonals is 1.

What is a diagonal?

A diagonal in geometry is a line segment that connects two polygonal or polyhedral vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.

Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.

Given that the two segment values are 2x + 4 and 7x - 1. The value of x will be calculated as,

2x+4 = 7x-1

5x = 5

x = 1

Hence, the value of x is 1.

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PLZ HELP EM ASAP PLSSSZZZ

Answers

Answer:

You will need 800 [tex]ft^{3}[/tex] of water to fill the pool.

Step-by-step explanation:

The amount of cubic that we need is equal to the volume of the pool therefore we just have to find the volume of the pool by using the following formula...

Volume = (Length)(Width)(Height/Depth) = (20)(10)(4) = 800

Therefore you will need 800 [tex]ft^{3}[/tex] of water to fill the pool.

Look at the shaded shapes drawn on a square grid. The area of the rectangle A is double the area of square b is he correct?

Answers

No it’s not double the area
He is not correct. This is because even if you tried to, two FULL square Bs would be more than rectangle A

Which graph represents exponential decay?


Answers

Answer:

1000x4=4000

Step-by-step explanation:

there is no graph

Answer:

C

Step-by-step explanation:

A company sells widgets. The amount of profit, y, made by the
company, is related to the selling price of each widget, x, by the given
equation. Using this equation, find out the maximum amount of profit
the company can make, to the nearest dollar.
y = -4x^2 + 183x – 1247

Answers

Answer:

846.06 units

Step-by-step explanation:

The amount of profit, y, made by the  company, is related to the selling price of each widget, x, by the given  equation as follows :

[tex]y = -4x^2 + 183x- 1247[/tex] ...(1)

We need to find out the maximum amount of profit  the company can make.

For maximum profit put dy/dx = 0

So,

[tex]\dfrac{d}{dx}(-4x^2 + 183x- 1247)=0\\\\-8x+183=0\\\\x=\dfrac{183}{8}\\\\x=22.87[/tex]

Put x = 22.87 in equation (1). So,

[tex]y = -4(22.87)^2 + 183(22.87)- 1247\\\\=846.06[/tex]

So, the maximum profit is 846.06 units.

Find (f+g)(x) for the function.
f(x) = x2 + x
g(x) = x + 2

Answers

(f+g)(x) = f(x) + g(x)

x^2 + x + x + 2

= x^2 + 2x + 2

Final answer: x^2 + 2x + 2

Albert has $150 in his bank account. If he plans to add $25 a week, if represents weeks, how long would it take Albert to save $1340. A 32 weeks

B
40 weeks

C
48 weeks

D
60 weeks

Answers

Answer:

C

Step-by-step explanation:

( it think you meant to put 1350 because theres no way to get 1340)

X = {a, c, d, e, f, g,I}
Y = {b, c, d, e, h, i, k, l, m}
Z = {c, f, i, j, m}
Represent the above information on a Venn diagram.
Help

Answers

Answer: sorry but i need points

Answer:

Step-by-step explanation:

me too^^

The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it
being sunny and rainy at the same time is 10%. Calculate, the probability that it is
either sunny or rainy.

Answers

Answer:

0.6 = 60% probability that it is either sunny or rainy.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Rain

Event B: Sun

The chance of rain is 20%

This means that [tex]P(A) = 0.2[/tex]

The chance of it being sunny is 60%

This means that [tex]P(B) = 0.6[/tex]

The chance of it being sunny and rainy at the same time is 10%.

This means that [tex]P(A \cap B) = 0.1[/tex]

Calculate, the probability that it is either sunny or rainy.

This is:

[tex]P = P(A) + P(B) - 2P(A \cap B) = 0.2 + 0.6 - 0.2 = 0.6[/tex]

0.6 = 60% probability that it is either sunny or rainy.

what if i clapped ya moms cheeks?​

Answers

Answer:

If you do you nasty

Smh why would you say thaaaaaat

Answer:

where ya mom at homie :smirk:

Step-by-step explanation:

Classify the data of the number of customers at a restaurant

Answers

Answer:

we need a picture or screenshot to answer this correctly, but i would think it would be consumer growth per time unit that the graph is based on

Answer:

we would need a question like a picture or some thing else.

What is the inverse of f(x)=3x+14

Answers

Answer:

f^-1(x)=x/3-14/3

Step-by-step explanation:

2,200 people enter an amusement park every hour. How long will it take for 6,000 people to enter the park?

Answers

P= Total # of people who entered the park

t= The time in hours

P=2200t

6600 = 2200t

Divide both sides of the equation by 2200:

3=t

answer : 3 hours

9515 1404 393

Answer:

  2 8/11 hours ≈ 2.73 hours

Step-by-step explanation:

Assuming a constant rate, entries are proportional to time.

  time/people = 1 h/(2200 people) = t/(6000 people)

  t = (1 h)(6000/2200) = 2 8/11 h ≈ 2.73 h

It will take about 2.73 hours for 6000 people to enter.

-6x+5y=1 and 6x+4y=10.substitution

Answers

Answer:

(23/27, 11/9)

Step-by-step explanation:

Given the simultaneous equation;

-6x+5y=1..... 1

6x+4y=10.... 2

Add both equations

5y + 4y = 1+10

9y = 11

y = 11/9

Substitute y = 11/9 into 1;

From 1;

-6x+5y=1.

-6x + 5(11/9) = 1

-6x + 55/9 = 1

-6x = 1- 55/9

-6x = (9-55)/9

-6x = -46/9

x = -46/-54

x = 23/27

The solution to the system of equation is (23/27, 11/9)

Can anyone help!!!! Please!!!?

Answers

I believe it’s 24in2
Explanation: goodluck

Answer:

384

Step-by-step explanation:

A=[tex]6_{2}[/tex]a=6·82=384

What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(6,6) (1,-4)

Answers

Answer:

Hope this helps! let me know

Please give a solution

Answers

Answer:

x-3<10 is solution and 6y>12 is not a solution

Step-by-step explanation:

The first one is not solution the second one is not solution I think

HELP PLEASE !! .................................................................................................................................................................

Answers

Answer:

15

Step-by-step explanation:

Substitute a and b then

Follow PEMDAS

Hope this helps! :)

15

(a+b)^3-12
(2+1)^3-12
27-12
15

Help me please this is due soon

Answers

Answer: You didn't add like a question or a link sorry..

kim owes $870.00 on her mastercard account. She returns two items costing $35.90 and $150.00 and receive credits for these on the account. Next, she makes a purchase of $82.50, and then two more purchases of $10.00 each. She makes a payment of $500.00. She then incurs a finance charge of $37.23. How much does she still owe?

Answers

Answer:

She has 499.3$

Step-by-step explanation:

870+35.90+35.90+150-82.50-10-500

A gallon is equal to 128 oz. Loretta drinks 6.4 oz of milk twice a day. How many days will it take for Loretta to finish a gallon of milk?

Answers

Answer:

Step-by-step explanation:

120/6.4=20

It will take her 20 days

Answer:

10 DAYS

Step-by-step explanation:

Loretta drinks 6.4 oz of milk TWICE a day = 12.8 oz a day. 128 oz is in a gallon of milk, so 128 divided by 12.8 equals 10. Loretta will take 10 DAYS to drink a gallon of milk.

3)
2(34 + 12) > 50
This inequality contains a variable, b. Choose ALL numbers that make this inequality true.
A)
16
B)
18
19
D
20
E)
22

Answers

Answer:

a and c

Step-by-step explanation:

3. The table below lists the colored marbles in a bag. Match the theoretical probabilities for drawing a single marble with the correct marble color. Marble Color Number of Marbles blue 12 red 6 yellow 21 black 8 green 11 1. 19% 2. 14% 3. 36% 4. 21% 5. 10% a.red b.black c.green d.red e.yellow​

Answers

Answer:

Blue = 12/58 * 100% = 20.68 = 21%

Red = 6/58 * 100 = 10.34 = 10%

Yellow = 21/58 * 100 = 36.20 = 36%

Black = 8/58 * 100 = 13.79 = 14%

Green = 11/58 * 100 = 18.96 = 19%

Step-by-step explanation:

Given the table :

Marble_color ____ Number of marbles

Blue ___________ 12

Red ___________ 6

Yellow _________ 21

Black __________ 8

Green _________ 11

Theoretical probability % = (number of favorable outcome / number of total possible outcomes)

Total possible outcomes = (12+6+21+8+11) = 58

Blue = 12/58 * 100% = 20.68 = 21%

Red = 6/58 * 100 = 10.34 = 10%

Yellow = 21/58 * 100 = 36.20 = 36%

Black = 8/58 * 100 = 13.79 = 14%

Green = 11/58 * 100 = 18.96 = 19%

The probability that a seed will germinate is 0.65. Find the probability that a seed selected at a random will not germinate. *

Answers

Answer:

19 3782 832 38= 78043

Step-by-step explanation:

Brandon measured the length of a pencil to be 18cm. The actual length of the pencil is 21cm. What is the percent error for Brandon’s measurement? (Round to the nearest tenth).

Answers

Answer:

14.2% error

Step-by-step explanation:

21-18 = 3

3/21 = 14.2

Answer:

14.2%

Step-by-step explanation:

21-18 = 3

3/21 = 14.2

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