What causes a quadratic formula to have negative roots?

Answers

Answer 1

Answer:

When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary.

Answer 2

If a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

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

a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.

In this case, we say that the roots are imaginary.

Learn more about quadratic equations;

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Related Questions

Which expression is equivalent to -9k-3-9k-4−9k−3−9k−4?
-25−25
-7-18k−7−18k
-25k−25k
-12k-13−12k−13

Answers

this answer is 0 (zero) i hope this helps you out!

reflect the shape A in the line

x=1

What are the coordinates of the vertices of the image?
its for a maths test!!!!!!!!!!!!!!!!!!!!!!!!!!
correct answers to be awarded brainley
.

Answers

i dont knowkkkkkkkkkkkkk

The graph of g is a translation 2 units left of the graph of f(x) = x−−√x. What is the domain of g? A. all real numbers B. x ≥ −2 C. x ≥ 0 D. x ≥ 2

Answers

y=x√x

4 units left means change in x

y=x√x+2

So

Solve for domain

x+2≥0x≥-2

Domain=[-2,oo)

Option A

The domain of g is x ≥ -2, which is option B.

What is Translation?

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Given that,

the graph of g is a translation 2 units left of the graph of f(x) = x√x.

When f(x) is translated k units to the left, the new function will be f(x + k).

So the new function g is,

g(x) = (x + 2) √(x + 2)

In order for the function to be defined, the part inside the square root must be greater than or equal to 0.

x + 2 ≥ 0

x ≥ -2

Hence the domain is x ≥ -2.

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Please help me yall I am so done with hw

Answers

Cities are pretty far from each other so you would have to use miles

Answer: the answer is d which is Miles .

Step-by-step explanation: it is Miles because there is a far distance bbetween Cities .HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .

What is the measure of angle x? Show work.

Answers

Answer:

x = 67° (nearest whole degree)

Step-by-step explanation:

Sine Rule

[tex]\sf \dfrac{sin(A)}{a}= \dfrac{sin(B)}{b}= \dfrac{sin(C)}{c}[/tex]

where A, B and C are the angles, and a, b and c are the sides opposite the angles

Given information

From inspection of the triangle:

A = 38°a = 12B = x°b = 18

Finding x:

Substitute given values into the formula and solve for x:

[tex]\sf \implies \dfrac{sin(38)}{12}= \dfrac{sin(x)}{18}[/tex]

[tex]\sf \implies 18\cdot\dfrac{sin(38)}{12}= sin(x)[/tex]

[tex]\sf \implies sin(x)=\dfrac32sin(38)[/tex]

[tex]\sf \implies x=sin^{-1}\left(\dfrac32sin(38)\right)[/tex]

[tex]\sf \implies x=67.44208077...[/tex]

Final Solution

x = 67° (nearest whole degree)

Answer:

∠x = 67°

Step-by-step explanation:

From the Law of Sines,

we know that :

sin(A) / a = sin(B) / a

Here we have :

a = 12b = 18∠A = 38°∠B = x°

On substituting,

sin38° / 12 = sinx° / 18sinx° = 3/2 x sin38°x = 3/2sin38° x sin⁻¹∠x = 67°

pls help ill give 15 brainliest and 5 starts question is down below

Answers

Answer:

1 is 9 sq units

2 is 12

3 is 24cm^2

Step-by-step explanation:

Julia starts April with a credit card balance of $300 because she was not able to make the full
payment for March.
During April, she makes the following purchases:
April 10 - $250 for groceries.
April 18 - $800 for a new phone
April 23 - $80 for a birthday present for her brother
Calculate the Average Daily Balance given that there are 30 days in April. You will need to
divide April into four sets of days.

Answers

disclaimer: I'm not 100% sure if this is correct

Answer:

9.66, or 10 if you rounded it up

Step-by-step explanation:

I THINK that you add 280, 800, and 80 together to get -$1160, then divide 1160 and 30 maybe. then divide your answer with 4 to get 9.66, or 10.0

I hope this helps! if not, i am deeply sorry, friend.

,SivethTheDragon

The Average Daily Balance for Julia's credit card in April is approximately $846.33.

Here, we have,

To calculate the Average Daily Balance for Julia's credit card in April, we will divide the month into four sets of days based on her purchase dates. Here's the breakdown:

Set 1: April 1 to April 9 (9 days)

The balance remains at $300 because no purchases were made during this period.

Set 2: April 10 to April 17 (8 days)

Julia makes a purchase of $250 for groceries on April 10.

Therefore, the balance for these 8 days is $300 + $250 = $550.

Set 3: April 18 to April 22 (5 days)

Julia makes a purchase of $800 for a new phone on April 18.

Therefore, the balance for these 5 days is $550 + $800 = $1350.

Set 4: April 23 to April 30 (8 days)

Julia makes a purchase of $80 for a birthday present on April 23. Therefore, the balance for these 8 days is $1350 + $80 = $1430.

To calculate the Average Daily Balance, we sum up the balances for each set of days and divide by the total number of days in April:

(9 days * $300 + 8 days * $550 + 5 days * $1350 + 8 days * $1430) / 30 days

= ($2700 + $4400 + $6750 + $11440) / 30

= $25390 / 30

= $846.33 (rounded to the nearest cent)

Therefore, the Average Daily Balance for Julia's credit card in April is approximately $846.33.

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Is my answer correct?

Answers

Answer:

No, not all of them are correct.

Step-by-step explanation:

The first one that u picked is incorrect. The second one is correct. And so it the third. I'm not so sure about the last one but pls MARK BRAINLIEST IF IT IS CORRECT

In ΔNOP,the measure of ∠P=90°, NP = 16, ON = 65, and PO = 63. What ratio represents the cosecant of ∠N?

Answers

Answer: 65/63

Step-by-step explanation:

The cosecant of angle N is the reciprocal of the sine of angle N.

Using SOHCAHTOA, the sine of angle N is 63/65.

This means that the cosecant of angle N is 65/63.

What is the sum of 5 times a number and 7 is 2

Answers

Answer:-1

Step-by-step explanation:

5x+7=2

5x=5

X=1

Scale word problem
Someone please help me!!

Answers

Answer:

38.4 km

Step-by-step explanation:

Use a proportion.

1 cm is to 12 km as 3.2 cm is to x km.

1/12 = 3.2/x

1 × x = 12 × 3.2

x = 38.4

Answer: 38.4 km

please help i am confused.

Answers

Answer:

12.16 inches.

Step-by-step explanation:

Use pythagoras thereom since they are right angle triangles. A² = c² - b².

For NP triangle:

10² - 4² = 84. square root of 84 is 9.165.

For MN triangle:

5² - 4² = 9. square root of 9 is 3.

finally, add them up:

3 + 9.165 = 12.165, to 2 d.p., it is 12.16 inches.

help!!

For what value of x is the value of the square of the binomial 2x +3
is 9 greater than the value of the square of the binomial 2x -3?

Answers

Answer:

  x = 3/8

Step-by-step explanation:

The difference of the two squares can be found several ways. One way uses the "difference of squares" special form.

  a² -b² = (a -b)(a +b)

For the given squares, this is ...

  (2x +3)² -(2x -3)² = ((2x +3)-(2x -3))((2x +3) +(2x -3)) = 6(4x) = 24x

We want to find x that makes this difference be 9:

  24x = 9

  x = 9/24 = 3/8

For the value x = 3/8, the difference between the squares of the binomials will be 9.

Eliminate the parameter to complete the statements describing the equations
x = 3cos(t) - 2 and y = 2sin(t) + 1.
The rectangular form of this equation is
A. 4(x + 2)2 + 9(y – 1)2 = 36
B. 9(x + 2)2 + 4(y - 1)2 = 36
C. 4(x - 2)2 + 9(y + 1)2 = 36
D. 9(x - 2)2 + 4(y + 1)2 = 36
The equations represent a/an

Answers

Answer:

A

ellipse

Step-by-step explanation:

Answer:

1.) The rectangular form of this equation is (A)

.2.) The equations represent a/an (ellipse)

.

Step-by-step explanation:

Edge 2022

Jade wants to build a raised garden bed in her backyard. The garden measures 9 feet in length by 6 feet in width by 4 feet in depth. The cost to purchase soil to fill the raised garden bed is $12 per cubic yard. How much will it cost to purchase soil for Jade’s raised garden?

Answers

Answer:

$864

Step-by-step explanation:

how to tell if something is cubed or squared being ft^3 or ft^2

Answers

Answer:

Check the power

Step-by-step explanation:

You can tell if a quantity has been cubed or squared by looking at its power.

For example, ft^3 has a power of 3 (meaning feet is raised to 3) which means whichever number ft^3 is used with, has been cubed, generally volume of any shape

Similarly, ft^2 has a power of 2 (meaning feet is raised to 2) which means whichever number ft^2 is used with, has been squared, generally area of any shape

hello!

===========================================================

If something is squared, it's multiplied times itself 2 times.

Example:-

[tex]\bigstar\boxed{\pmb{4*4=4^2}}\longleftarrow\sf{4~squared~}[/tex]

You should also notice that the exponent of 4 is 2.

So if something is squared, its exponent is 2.

If something is cubed, it's multiplied times itself 3 times.

Example:-

[tex]\bigstar{\boxed{\pmb{4*4*4=4^3}}\longleftarrow\sf{4~cubed}[/tex]

You should also notice that the exponent of 4 is 3.

So if something is cubed, its exponent is 3.

=======================================================

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Sam has a cylindrical storage container 7 inches tall with a radius of 5 inches. How much cat litter will fit in the container? Round your answer to the nearest tenth.

Answers

Answer:

549.8 inches³

Step-by-step explanation:

Volume of Cylinder = height × base, where base = [tex]\pi[/tex]r².

The radius (r) is given, 5 inches, and so is the height, 7 inches.

We simply substitute these values into the equation.

V(volume)  = 7 × [tex]\pi[/tex] × 5²

                  = 175[tex]\pi[/tex]

                  = 549.77871437821...

when we round that to the nearest tenth,

                  ≈ 549. 8

SOMEONE PLEASE HELP I WILL GIVE 5 STARS AND BRAINLIEST! fill in the table using this function rule. y= 4x - 4

x- 1,3,5,10
y- blank

Answers

Answer:

(x=1, y=0), (x=3, y=8), (x=5, y=16), (x=10, y=36)

Step-by-step explanation:

You just plug the x into the equation. And then BAM the answer is right.

Help! How do I fill out the box at the top of the page? This isn't making sense (I'm in 7th)

Answers

Answer:

x= 4

y= 9

so in that case (x,y) would be (4,9)

then you go down to the x axis and go to 4.

then you go up 9 and that is your first point

same thing for the rest of them so it would be (6,3)

(1,3)

(8,7)

(8,9)

Visible light waves that our eyes see as the color red have a wavelength of about 6.7 x 10-7 meters. What is the frequency of these waves? The speed of light is 3.0 x 10 8 m/s. [v = 1f]

Answers

The frequency of these visible light waves that our eyes see is equal to [tex]4.47\times 10^{-14}\;Hz[/tex]

What is wavelength?

Wavelength refers to the distance between two (2) successive crests (troughs) of a wave.

How to calculate frequency.

Mathematically, the frequency of a wave is given by this formula:

[tex]F = \frac{V}{\lambda}[/tex]

Where:

F is the frequency of a wave.V is the speed of a wave.[tex]\lambda[/tex] is the wavelength of a wave.

Substituting the given parameters into the formula, we have;

[tex]F=\frac{3 \times 10^8}{6.7 \times 10^{-7}} \\\\F=4.47\times 10^{-14}\;Hz[/tex]

Read more on frequency here: https://brainly.com/question/19250621

Stella's monthly bank statement showed the following deposits and withdrawals: − −$34.71, − −$100.08, $111.62, $92.93, − −$27.27 If Stella's balance in the account was $20.1 at the beginning of the month, what was the account balance at the end of the month?

Answers

Answer: $ 27.27

Step-by-step explanation:

Answer:

62.59

Step-by-step explanation:

Use: nCk = n!/k! (n-k)!
At a local cafeteria there are ten vegetable selections available. How many three-vegetable plates may be made

Answers

Answer:

120

Step-by-step explanation:

The formula [tex]nCk=\frac{n!}{k!(n-k)!}[/tex] describes how many ways [tex]k[/tex] items can be chosen given [tex]n[/tex] total items. In this scenario, [tex]n=10[/tex], and [tex]k=3[/tex], thus:

[tex]\frac{10!}{3!(10-3)!}=120[/tex]

This means that you can make 120 three-vegetable plates

Damian needs to buy 5 pints of juice but the store doesn't sell juice in pints, so damian buys 3 quarts of juice. does damian buy enough juice if not how much more does he have left or need to have enough?

Answers

Answer:

Damain has bought enough juice.

Step-by-step explanation:

1 qt(quart) = 2 pints.

3 qt = 6 pints.

6 pints > 5 pints (6 pints is bigger than 5 pints)

Therefore, Damain has bought enough juice.

Please mark as brainliest!

The seats in a movie theater are arranged so that each row has 6 more seats than the row in front of it. If the first row has 24 seats, how many seats are in the 6th row?
a. 30
b. 48
c. 54
d. 60

Answers

Answer:

54 seats

Step-by-step explanation:

To make it easier, I'll put it like this.

Row    |    Seats

 1        |      24

 2       |      30

 3       |      36

 4       |      42

 5       |      48

 6       |      54

(Add 6, because each row has 6 more seats than the row in front of it.)

So, the 6th row has 54 seats.

Hope this helped !

What is 6
4
-237
-
?
10
A. 3.
C. 3
19
20
5
B. 3
D. 4
10
10

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6\dfrac{1}{4} - 2\dfrac{3}{10}}\\\\\mathsf{\rightarrow \dfrac{6\times4+1}{4} - \dfrac{2\times10+3}{10}}\\\\\mathsf{\rightarrow \dfrac{24 + 1}{4} - \dfrac{20 + 3}{10}}\\\\\mathsf{\rightarrow \dfrac{25}{4} - \dfrac{23}{10}}\\\\\mathsf{\rightarrow \dfrac{79}{20}}\\\\\mathsf{\approx 3\dfrac{19}{20}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{Option\ C. \ 3 \dfrac{19}{20}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

How many different triangles can you make if you are given the measurments or two sides an angle that is not between those two sides

Answers

Answer:

2.

Step-by-step explanation:

This is called the ambibuous case where  2 sides are given and angle opposite one of these sides.

2 traingles are possible.

Koalas weigh 6 kilograms on average. how many cells are in the average koala.

Answers

Here is your answer

Would a compound event involving a standard number cube and a spinner be dependent or independent?​

Answers

Since the result of the number cube and the result of the spinner do not effect each other, the events are independent.

What are dependent and independent events?When one trial affects the next trial, the events are called dependent. One example is taken a card without replacement from a standard deck, as in each trial, the number of cards remaining decreases, hence the probabilities are affected.When there is no effect of one trial on another, the events are called independent.

In this problem, the result of the number cube does not affect the result of the spinner, as they are rolled separately, hence the events are independent.

More can be learned about independent events at https://brainly.com/question/14478923

Help me understand how to do this please. (?)

Answers

Step-by-step explanation:

part 1: the exponent is the power or the number you see ontop of n. it indicates how many times n is multiplied by itself. so for the first question n is multiplied by itself 6 times. so the answer should be n×n×n×n×n×n.

part 2 is similar to part 1.

since there is a total of 6 ns we can say that it is n^6.

feel free to ask if you need any further guidance.

solve: 15x = 180.75
please and thanks

Answers

Answer:

x = 12.05

Step-by-step explanation:

Given:

15x=180.75

Divide both sides by 15

15x             180.75

------  =         --------

15                   15

x = 12.05

Hence, x = 12.05

~lenvy~

Answer:

12.05

Step-by-step explanation:

Divide both sides by the same term

15x/15 = 180.75/15

180.75/15

= 12.05

Hence, x = 12.05

Check Answer:

15(12.05) = 180.75

[RevyBreeze]

Other Questions
7-4 practice parallel lines and proportional parts Which of the following describes the motion of water waves?A rarefiedB compressionalC transverseD longitudinal Identify the true and false statements about the conflict perspective of the family. I will give brainliest if you answer these 10 questions :) 1.Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after dropping them off. How long is Jill traveling roundtrip? A. 9 miles B. 12 miles C. 18 miles D. 27 miles2.Jill leaves her house and goes to pick up a friend from the airport, drops the friend at City Hall. What is the shortest distance Jill travels? A. 16 miles B. 25 miles C. 48 miles D. 54 miles3.Jill leaves work from the High School, but has to pick up her friend at the airport before going back home. What is the shortest distance she can travel? A. 27 miles B. 21 miles C. 56 miles D. 84 miles4.Mary works at the Elementary School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Elementary School. How far did Mary travel if she took the shortest route? A. 32 miles B. 36 miles C. 64 miles D. 96 miles5.What is the shortest distance Jill can travel is she leaves her house, goes to City Hall, to the Post Office, and then returns home? A. 9 miles B. 16 miles C. 38 miles D. 48 miles6.Mary works at the Middle School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Middle School. How far did Mary travel if she took the shortest route? A. 32 miles B. 36 miles C. 64 miles D. 96 miles7.Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels roundtrip? A. 11 miles B. 12 miles C. 22 miles D. 33 miles8.Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after dropping them off. How long is Jill traveling before going back home? A. 9 miles B. 12 miles C. 18 miles D. 27 miles9.Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels one way to get to work? A. 11 miles B. 12 miles C. 22 miles D. 33 miles10.What is the shortest distance Jill can travel if she leaves her house, goes to the post office, to the grocery store, and then returns home? A. 15 miles B. 28 miles C. 45 miles D. 60 miles ................................................................................................................./////////////////////////// A farmer ploughts his lands in 12 days if he use 5 tractors ow long will it if he uses 3 tractors? Which gender and ethnic group has the highest levels of obesity?. A triangle has one side that is 4 centimeters long and one that is 9 centimeters long. The third side is a whole number of centimeters. What is the longest possible third side? (7 point)13. Amir posts on social media frequently, while Naomi posts rarely. Their number of posts overthe last six days are given in the table below. Compare the spreads of the data sets using bothrange and IQRAmir Naomi1521241410162153190 A letter to the town planner in your local municipality and propose to use a vacant piece of land as a tourism sports for the benefit of the community growth at large Which plant structures are common to all angiosperms?sporesflowersconesendoskeleton Rebecca had these results when she drew 10 tiles from the bag. The bag has a total of 20 tiles. Her classmates got similar results. What is a good predication for the number of green and red tiles out of 20? 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