Consider only the discriminant, b2-4ac, to determine whether one real-number solution, two different real-number solutions, or two
different imaginary-number solutions exist.
4x² - 12x+9=0
A.One real solution
B.Two different imaginary-number solutions
C.Two different real-number solutions

Answers

Answer 1

Answer:

A. One real solution

Step-by-step explanation:

The discriminant is used to find the number of real solutions to a quadratic equation.

If the discriminant is greater than 0, there are two real solutions.

If the discriminant is equal to 0, there is one real solution.

If the discriminant is less than 0, there are no real solutions.

All quadratic equations have the format:

ax^2+bx+c

Therefore our values for a, b and c are the following:

a = 4

b = -12

c = 9

Therefore the discriminant is:

(-12)^2-4(4)(9)

144-144 = 0

The discriminant is equal to 0, so there is one real solution (Option A).

Hope this helped!


Related Questions

Which point-slope equation represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?

Answers

Answer:

The equation is y = (-4/5)x + 2/5.

Step-by-step explanation:

In a slope form equation, y = mx + b where m represents gradient/slope and b is the y-intercept. Given that the slope is -4/5 so you have to find the value of b by substituing the coordinates into the equation :

[tex]y = - \frac{4}{5} x + b[/tex]

[tex]let \: x = 3,y = - 2[/tex]

[tex] - 2 = - \frac{ 4}{5} ( 3) + b[/tex]

[tex] - 2 = - \frac{12}{5} + b[/tex]

[tex]b = - 2 + \frac{12}{5} [/tex]

[tex]b = \frac{2}{5} [/tex]

[tex]y = - \frac{4}{5} x + \frac{2}{5} [/tex]

Line J M is the perpendicular bisector of LK.

Line J M intersects line L K at point N and forms a right angle.
Which segments are congruent?

JN and LN
JN and NM
LN and NK
NK and NM

Answers

Answer:

The congruent segments are LN and NK ⇒ C

Step-by-step explanation:

If a line is a perpendicular bisector of another line, that means this line intersects the other line in its midpoint and form right angles around this point

∵ Line JM is the perpendicular bisector of line LK

→ That means JM intersect LK at the midpoint of LK

∵ Line JM intersects line LK at point N

∴ Point N is the midpoint of LK

N divides LK into two segments LN and NK

N is the midpoint of LK

→ That means LN equals NK

LN = NK

The congruent segments are LN and NK

Answer:

it C on edge

Step-by-step explanation:

will mark BRAINLIEST!!!
helpppppp

Answers

Answer:

I think its $2.50x+4.00

What is the value of 30 minus 2 (7 + 2) minus 1?
A.11
B. 14
C. 17
D. 19

Answers

Answer:

A. 11

Step-by-step explanation:

30 - 2(7+2) - 1

30 - 2(9) -1

30-18- 1

12-1

11

Answer:

30 - 2(7+2) -1

PEMDAS

Parentheses first

30 - 2(9) -1

Then multiply and divide

30 - 18 -1

Then add and subtract

12-1

11

Step-by-step explanation:

PLEASE HELP!! how do I prove that vertical angles are congruent???

Answers

Answer:

a b

Step-by-step explanation:

What is the next number in the sequence: -2, 4, -8, 16, -32, , ...

Answers

Answer:

64

Step-by-step explanation:

This is an Geometric sequence

Common ratio = 2nd term ÷ 1st term = 4 ÷ (-2) = -2

To get the next term multiply the previous term by (-2)

The next term (6th term) = -32 * (-2) =  64

please help with this question

Answers

Answer:

(1/3)x+ x-20+ x-10+40= 360

Step-by-step explanation:

(1/3)x+ x-20+ x-10+40= 360

x+3x-60+3x-30+120=360*3

7x+30= 1080

7x= 1050

x= 150

The sum of the angles = 360.

Add the 4 angles together so they equal 360:

1/3x + x-20 + x-10 + 40 = 360

Combine like terms:

2 1/3x - 30 + 40 = 360

Continue combining like terms:

2 1/3x +10 = 360

Subtract 10 from both sides:

2 1/3x = 350

Divide both sides by 2 1/3:

x = 150

Willy's candy shop selld special bags of candy. Amy bought 5 bags and found she had 60 pieces of candy. Mia bought 10 bags and found she had 130 pieces of candy. How many pieces of candy are there per bag?

Answers

Answer:

There are 12 pieces of candy in Willy's bags and 13 pieces of candy in Mia's bags.

Step-by-step explanation:

Draw it out.

ASAP! PLEASE HELP! ILL GIVE BRAINLY! This is really needed now

Answers

Answer:

∠ABD = 48

Step-by-step explanation:

use symbolab

(x+15)=(4x-12)

x+15-15=4x-12-15

x=4x-27

x-4x=4x-27-4x

-3x=-27

divide both sides by 3 and you get x=9

then put 9 in to replace x

((9) + 15) + (4 (9) - 12)

=24 + (4 (9) - 12)

= 24 + 24

=48

ur welcome

It costs 24 bollars for 16 tickets.
What is the price of one ticket?

Answers

Answer:

1.5 dollars

Step-by-step explanation:

24/16=1.5

Answer:

if 16 tickets cost 24 dollars how about one

if 16tkts = 24 dollars

how about 1 tkt = ?

1×24=24

24÷16 = 1.5 dollars or you round off to the nearest 5 cents Making the answer to be 2 Dollars per ticket

HELP BRAINLEST IF ANSWER PLZ Click LINK TO SEE QUESTION!!!!
https://brainly.com/question/18621006

Answers

Answer:

1. theres no link attached

2. lol just write it here wyd

3. uhm ur not tricking me-

Step-by-step explanation:

The ratio of pencils to pens is 3 to 5. There are 21 pencils in the classroom. How
many total pens and pencils are in the classroom?

Answers

Answer:

56 pencils and pens

Step-by-step explanation:

3:5 is the ratio, and then put that into a fraction and then make a proportion

3/5=21/x

eCross multiply and divide so do 21*5 divided by 3. This gives us an answer of 35. Now we know we have 35 pens. 35+21, adding the pen and pencil, is 56. You can always also look for relationships, so if you could see that multiplying 7 gives you the answer, than do that to the 5, and then add it together.

So what is a dilation and how will it effect the image and the preimage(i have 8th grade math).

Answers

Answer:

In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. A dilation is a type of transformation that enlarges or reduces a figure (called the preimage) to create a new figure (called the image).

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Which rate describes a unit price. $1.00 for 2 lemons. $3.00 for every pound. $4.00 for 3 slices of pizza. $6.00 for every 6 bottles.

Answers

Answer:

I believe it would be $3 per pound.

Let me know if I'm incorrect!

Answer:

It is C

Step-by-step explanation:

i can verify because i took the test and got 100

Mr. Drew grows green pepper plants in planters.

The graph shows the relationship between the number of planters and the number of pepper plants. How many pepper plants are in 3 planters?

A graph shows green pepper plants by planters. A line starts at (0, 0) and passes through (4, 12).

18

12

9

3

Answers

Answer:

Option (3)

Step-by-step explanation:

From the graph attached,

For a point (x, y),

x-coordinate shows the planters and y-coordinate show the number of green pepper plants in the planters.

If input value (x-value) for the line is 3,

Output value (y-value) from the graph will be, y = 9.

Therefore, there are 9 green pepper plants in 3 planters.

Therefore, Option (3) is the correct option.

2/11 inch thick. How thick will a stack of 15 magazines be?

Answers

wait do you mean that one magazine is 2/11 inches thick

What number must be subtracted from both the numerator and the denominator of 5/3 to obtain a Fraction equal to 5/7 ?

Answers

Answer:

Step-by-step explanation:

Let the number = x

So we are trying to work out what number must be subtract from the numerator and denominator of 5/3 to equal 5/7.

You can write this as:

[tex]\frac{ 5-x}{3 - x} = \frac{5}{7}[/tex]

Then you want to get rid of the fractions so multiply both sides by 3-x

[tex]5 - x =[/tex] [tex]\frac{5 ( 3 - x)}{7}[/tex]

Then multiply both sides by 7

[tex]7( 5 - x) = 5 ( 3 - x)[/tex]

Multiply it out.

35 - 7x = 15 - 5x

Add 7x to both sides:

35 = 15 - 5x + 7x

35 = 15 + 2x

Subtract 15 from both sides

35 - 15 = 2x

20 = 2x

To find x, divide both sides by 2.

x = 10.

2HT Butter House Bakery is famous for its butterscotch treat bars. The bakers always make a regular batch and a smaller gluten-free batch. To make a regular batch, the bakers use 5 cups of butterscotch chips and 16 cups of regular flour. To make a gluten-free batch, they use 3 cups of butterscotch chips and 8 cups of gluten-free flour. Which batch has a stronger butterscotch flavor?

Answers

Answer:

The gluten-free has stronger flavor of butterscotch

Step-by-step explanation:

Given

Regular Batch:

5 cups of butterscotch chips and 16 cups of regular flour.

Gluten-free batch

3 cups of butterscotch chips and 8 cups of gluten-free flour.

Required

Which batch has stronger butterscotch flavor

First, we need to determine the percentage of butterscotch in both flavors by using:

[tex]\% = \frac{Butterscotch}{Total} * 100\%[/tex]

For Regular:

[tex]\%= \frac{5}{5 + 16} * 100\%[/tex]

[tex]\%= \frac{5}{21} * 100\%[/tex]

[tex]\%= \frac{500\%}{21}[/tex]

[tex]\%= 23.81\%[/tex]

For Gluten-free

[tex]\% = \frac{3}{3 + 8} * 100\%[/tex]

[tex]\% = \frac{3}{11} * 100\%[/tex]

[tex]\% = \frac{300\%}{11}[/tex]

[tex]\% = 27.27\%[/tex]

Comparing both,

We can see that the percentage of butterscotch in gluten free batches is greater than that of regular batches

Hence:

The gluten-free has stronger flavor of butterscotch

Please I BEG you to help...

Answers

Answer:

36x^8

Explanation:

Use the rules of exponents

Answer:

36x^8

Step-by-step explanation:

You distribute the exponent (2) to the the coefficient (6) and the other exponent (4). When you distribute 2 to 6 you are squaring the 6.

6^2 = 6•6 = 36

Because of the power rule, you just multiply both the exponents together.

4•2 = 8

so when you put it together it looks like this: 36x^8

They are wrong, it's actually 19683 pennies.

Answers

Answer:

It is actaully 19683.0 lol

Step-by-step explanation:

Answer:

I thought it was 42069 i guess i was wrong

Step-by-step explanation:

plz help! which one is it

Answers

Answer:

3rd

Step-by-step explanation:

hope it helps :)

Please ASAP thank you

Answers

Answer:

<5 ~= <1 - Corresponding Angles Theorem

<1 ~= <7 - Alternate Exterior Angles Theorem

<5~= <7 - Vertical Angles Theorem

line l || line m - Transitive Property

18 percent of 68 is what

Answers

18 percent of 68 is a decimal, 12.24. Hope this helps.

Find the height a 17-foot ladder can reach on the side of a building when it
hits the ground at a 65° angle.
A. 7.2 ft
B. 15.4 ft
C. 36.5 ft
D. 48 ft
E 224 ft

SHOW EXPLANATION

Answers

Answer:

B. 15.4 ft

Step-by-step explanation:

this answer, without any formulas used, can be answered correctly and logically.

answer c, d and e are eliminated as the opposite side cant be greater than the hypotenuse.

now we have to find which is correct between a and b

the answer will be 'B' as the value of sine of an angle keeps increasing as the angle itself increases. thus, giving a bigger value of the opposite side (required height). as 15.4 ft.

mathematically,

sin65° = x/17

17 × sin65° = x

where x is height of the side of the building.

during a big storm, 29 inches of snow fell in 8 hours. find the rate

Answers

Answer:

36.25

Step-by-step explanation:

If you want to find the rate to anything, divide the measurements by the time.

29/8= 36.25

Classify angle H in the figure as right, straight, acute, or obtuse. For right angles and straight angles, indicate the
number of degrees in each angle,
Choose the correct classification for angle H
A. Acute
B.Obtuse
C.Straight
D. Right

Answers

It C sry for the mistake

Angle H is a right angle
A right angle means you can draw a square
Square= right angle= 90 degrees

Write the ratio as a fraction, in simplest form. (do not label)
60 teachers to 1,800 students

Answers

Answer:

1/30

Step-by-step explanation:

What is the next term of the geometric sequence? 20, -10 ,5,?

Answers

Answer:

-2.5

Step-by-step explanation:

The common ratio of the sequence is -0.5, because as the sequence progresses, the new number is obtained by multiplying the previous one by -0.5

So, to find the next term, multiply 5 by -0.5

5(-0.5)

= -2.5

So, the next term is -2.5

Jo is going on an 8-day activity holiday. Each day she can choose one of the water sports: kayaking or sailing, or land-based sports. She never does different water sports on consecutive days. She also wants to try all three options on at least one day of her holiday. How many different schedules are possible?

Answers

Answer:

6 ways

Step-by-step explanation:

Given

Number of Sports: 3

Required

Determine the total number of schedules

Since, there are 3 sports and the schedule is in no particular order.

The number of schedules is calculated as thus:

[tex]Number = n!\ ways[/tex]

Where:

[tex]n = 3[/tex]

So, we have:

[tex]Number = 3 * 2 * 1\ ways[/tex]

[tex]Number = 6\ ways[/tex]

Answer:

882

Step-by-step explanation:

Used excel sheet. drag numbers 0 to 65535. next row, create the base3 number of first column, select all 8 digit numbers, will be 6561. eliminate numbers with no 1 or 2 or 3. eliminate numbers with 23, 32, keeping 1 as kand, 2 as kayaking, 3 as surfing..result will be 882

HELP ASAP JUST NEED THE ANSWER PLEASE

Answers

Answer:

1

Reason:

There can only be one answer for prime numbers.

Answer:

1 beause 11 is an odd number so there are no mulipules

Other Questions
Need help guys can you answer this. DATE_PAGEifI the sellingselling prices is Rs 7777 andHis loss is Rs 888 . Find the cost price of radio-price of a radio urgent !! please help !! can someone help me with this problem and show work What is the zero of the function that is graphed below? what can you say about prevention is better than cure? Please help!! Thank you ;) WHAT THE FLU DOES TO YOUR BODY, AND WHY IT MAKES YOU FEEL SO AWFUL mr peters drives 266 miles in 3.5 hours what is the rate mr peters travels The image shows the Pyramid of Giza, with the Sphinxin the foreground.This image represents ancient Egyptian advancementsin which area?O architectureO governmentO philosophyO science Which is the final event that occurs when a star is forming?The outer layer of the star expands.Gravity pulls gas and dust together.A black hole forms as the core collapses.Nuclear fusion begins under high pressure. A proton isWhich of the following completes the sentence above?Alocated in the orbital of an atom.Ba part of an atom that does not have a charge.Ca part of an atom that can lose an electron and become negatively charged.Dthe part of an atom counted to determine the atomic number of an element.westion 1 of 5Run corint A rock is dropped from the top of a 2000-foot building. After second, the rock is traveling feet per second. After seconds, the rock is traveling feet per second. Let y be the rate of descent and x be the number of seconds since the rock was dropped. Part A: Write a linear equation that relates time x to rate y. (Hint: Use the ordered pairs (1,32) and (2,64) ) Part B: Use this equation to determine the rate of travel of the rock 17 seconds after it was dropped. "Go out into this world and leave distractions behind." What does this statement mean to you? In the story Ema qhat was the issue between Emma and Mrs. Robinson by cole *PLEASE HELP ASAP*Read the following paragraph and answer the question that follows:Musical theatre changed my life. When I was a child, I was always a problem for my parents. I never wanted to go to school, study my homework, or do my chores. No one knew how to control me. My mom once said that she was at her wits' end by the time I turned 13 years old. The truth was that I had become insecure, and I hid from my fears by pretending to be too "bored" to do any real work. That was when my parents signed me up for stage classes. Acting and singing not only showed me my true potential, they taught me an essential fact: life is a team effort, and we all have different skills that we use together to make progress. Through lessons, sweat, and tears, my experience of working in musical theatre has helped me become the well-rounded adult I am today. I am forever thankful to my parents for not giving up on me and for sending me to classes!Which of the following parts of a paragraph is the section in bold most likely an example of? (5 points)A: hookB: topic sentenceC: supporting evidenceD: conclusion What is the answer I need help ASAP On January 1, year 2, Connor Corporation signed a $100,000 noninterest-bearing note due in three years at a discount rate of 10%. Connor elects to use the fair value option for reporting its financial liabilities. On December 31, year 2, Connor's credit rating and risk factors indicated that the rate of interest applicable to its borrowings was 9%. The present value factors at 10% and 9% are presented below. PV factor 10%, 3 periods .751 PV factor 10%, 2 periods .826 PV factor 10%, 1 period .909 PV factor 9%, 3 periods .772 PV factor 9%, 2 periods .842 PV factor 9%, 1 period .917 At what amount should Connor present the note on the December 31, year 2 balance sheet? A process which is essential to the whole species but not to an individualmember of that species is:1. Digestion2. Growth3. Reproduction4. Development 10 Points plz asapThink about the character of Mercedes and how different she Is from Buck. How might The Call of the Wild be different the story were told from her point of view? Write two paragraphs as Mercedes were the main character in The Call of the Wild. Pick a scene from Chapter 5, and wrte the narration from her polnt of view. Base your narration on what we know of Mercedes based on the text. Your response should be at least 150 words In length. Please help! I just need 1 more way !! i will mark brainliest