What are the roots of the equation 4x^2+24x+45=0 in simplest a+bi form?

Answers

Answer 1

Answer:

X=(-1.5, 7.5)

Step-by-step explanation:

Simplifying

4x2 + -24x + -45 = 0

Reorder the terms:

-45 + -24x + 4x2 = 0

Solving

-45 + -24x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-3 + -2x)(15 + -2x) = 0

 

Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying

-3 + -2x = 0

Solving

-3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -2x = 0 + 3

-2x = 0 + 3

Combine like terms: 0 + 3 = 3

-2x = 3

Divide each side by '-2'.

x = -1.5

Simplifying

x = -1.5  

Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying

15 + -2x = 0

Solving

15 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0

0 + -2x = 0 + -15

-2x = 0 + -15

Combine like terms: 0 + -15 = -15

-2x = -15

Divide each side by '-2'.

x = 7.5

Simplifying

x = 7.5

Solution

x = {-1.5, 7.5}


Related Questions

What is the the correct equation to find the value of X?

Answers

Answer:

The first blue option or 8x - 17 = 5x + 19

Step-by-step explanation:

    They are vertical angles, so they will be set equal to each other.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Determine the rate of change between the points (-1,-1) and (1,-1).

Answers

Answer:

[tex]\displaystyle m = 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

*Note:

Rate of change is slope.

Step 1: Define

Identify.

Point (-1, -1)

Point (1, -1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{-1 + 1}{1 + 1}[/tex][Order of Operations] Simplify:                                                                        [tex]\displaystyle m = \frac{0}{2}[/tex]Simplify:                                                                                                             [tex]\displaystyle m = 0[/tex]

Z=3 evaluar -[z-(-z)+z]Por favor alguien que me ayude

Answers

Sorry yo no hablar mucho español

A car traveled 35 miles per hour. In how many hours did it travel 280 miles?

Answers

Answer:

8

Step-by-step explanation:

280/35=8

Answer:

8 hours.

Step-by-step explanation:

280/35 = 8

Jim wants to collect at least 25 coins for his coin collection. He has already collected 5 coins. The inequality shown can be used to fin n, the number of coins Jim still needs to collect.

n + 5 _> 25
Which inequality represents the solution set for this situation?

A. n _> 20
B. n _< 20
C. n _< 30
D. n _> 30

Answers

Answer:

Step-by-step explanation:

n _> 25 - 5

n _> 20

Answer:

n ≥ 20

Step-by-step explanation:

n + 5 ≥ 25

n + 5 − 5 ≥ 25 − 5

n ≥ 20

A board that is

16

feet long is cut into three pieces. If the length of the first piece is

3

5

6

feet and the length of the second piece is

4

5

6

feet, how long is the remaining piece of board?

Answers

Maybe it’s 6 and 6 and 4

helpppppppppppppppppppppppppppp

Answers

Answer:a is 14, b is 70%, c is 250

Step-by-step explanation:

Please help me I will give best answer brainliest

Answers

Answer:

i would help but i can't understand that im sry

Step-by-step explanation:

3. /9.49 thanks

Answer:

4. search it you can find it

help me with #29 please

Answers

Answer:

which one is 29???

Step-by-step explanation:

The Coney Island Boardwalk is 2.7 miles long.

A person walks at the average speed of 3 mph.

How long will it take the person to walk the boardwalk to the end and back?

Answers

Answer = 1.8

Step 1) 3 ÷ 2.7 = 0.900

Step 2) 0.900 x 2 = 1.8

Time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

Given that, The Coney Island Boardwalk is 2.7 miles long.

What is the speed?

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

A person walks at the average speed of 3 mph.

We know that, speed = Distance/Time

= 2.7/3

= 0.9 hours

Hence, time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

To learn more about the speed, distance, and time visit:

brainly.com/question/4978052.

#SPJ2

Please solve.
Picture below

Answers

Answer:

1)  -2x-11

2) 1.3x-3

3) 5k-20

4) 21.84

Step-by-step explanation:

-2x-7+(-4)          -2x-7-4           -2x-11

5.2x+9-12-3.9x          1.3x+9-12      1.3x-3

5(k-4)    distribute        5k-20

5.46÷0.25=21.84


Nikko runs 6 miles a day and 3 days a week. How many weeks will it take Nikko to run 198 miles?

Answers

Answer:

11 weeks

Step-by-step explanation:

6*3 = 18

He runs 18 miles per week

To find out many weeks it will take Nikko to run 198 miles we do

198/18 = 11 weeks

Answer:

11 weeks

Step-by-step explanation:

6 x 3 = 18  

198 divided by 18 is eleven

have a great day!

please help

Math Ángles equation​

Answers

60+55=y

y=115

now x=180-Y( as being liner pair)

therefore=x=180-115=65

Step-by-step explanation:

two interior angles are equal to exterior angle

so 60+55=y

y=115

now x=180-Y( as being liner pair)

therefore=x=180-115=65

Last year, a gardening store ordered 530,570 potted plants. This year, they ordered 424,456 potted plants. What is the percent of decrease in the number of potted plants ordered annually?

Answers

Answer:

last year = 530570

this year = 424456

decreased plants = 530570-424456 = 106114

decreased percent = 106114÷530570×100%

= 20%

therefore 20% is the decrease precent in the number of potted plants ordered anually

Select the number that would make this statement true: 344 ÷ ________ = 34.4
Question 2 options:

104

103

102

101

Answers

Answer:

103

Step-by-step explanation:

I think

Please Help!! Asap!!

A local club team is holding tryouts for six spots on the soccer team. Since there is not much time before a very important tournament they need to select the best players. Which method would be the best to ensure they select the "most talented" soccer players?


A. They watch the players during tryouts and then put them on a list in order from the most skilled to the least skilled and then select the top six from the list.


B. The first day of tryouts they select the first six that show up as they figure those are the most eager for a spot.


C. They place all of the names of the people trying out in a hat and then select six out of the hat. Those are the ones that are chosen.


D. They watch the players during tryouts and then put them on a list in order from the most skilled to the least skilled and then select the top three and the bottom three from the list.

Answers

Answer:

A because it's most likely to be like that at tryouts

Please help. ASAP. Work out, giving your answer in its simplest form:


3 1/2 divided by 2 3/5

Answers

Answer:

26/35

Step-by-step explanation:

1. First to divide the 3 1/2 by 2 3/5 you have to turn them both into improper fractions

First take 3 1/2. You have to multiply the whole number (3) by the denominator (2) and you would get 6. Then you would add then you add the product (6) to the numerator (1) and get 7.

You keep the denominator the same so the improper fraction is 7/2

Do the same thing to 2 3/5 and the improper fraction is 13/5

2. Now we can divide 13/5 by 7/2 using "keep, change, flip"

Keep: 13/5

Change: division to multiplcation

Flip: 7/2 to make 2/7

Your new equation is 13/5 × 2/7. Multiplcation is easy so you just have to multiply staight across: 13 × 2 and 5 × 7 giving you 26/35

If you divide 35 by 26 you will get 1.34 and a bunch of other numbers but I usually stop at two decimal places

hope this helps :)

solve the variables ​

Answers

X down Y up z stay
Hope i help

A two digit number is four times the sum and three times the product of its digit. Find the number.​

Answers

10 × 2 + 4 = 24. Hence, the required number is 24

I will give BRAINLIEST. Could someone give an answer along with a brief explanation pls.​

Answers

Answer:

y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

Since it will be parallel that means m=[tex]\frac{3}{4}[/tex]

then you can use point slope form (y-y1)=m(x-x1): y+5=[tex]\frac{3}{4}[/tex](x+4)

then you can distribute the [tex]\frac{3}{4}[/tex]: y+5=[tex]\frac{3}{4}[/tex]x+3

then subtract 5: y=[tex]\frac{3}{4}[/tex]x-2

pls help me and pls no link dont try me

Answers

Answer:

red line

the red line has a slope of -1 by looking at the coordinates,

it also intersects the given point (1,-1)

Will mark brainliest...no guessing please :)

Answers

Answer:

A

Step-by-step explanation:

We can calculate the equation of the lines based on two points. First line m:

y = ax +b

where a is the slope and b is the y-intercept. To find the slope we use the x and y of the points as:

a = [tex]a = \frac{y_1-y_2}{x_1-x_2} = \frac{4- -32}{2- -4} = \frac{36}{6} = 6.[/tex]

So:

y = 6x + b

we can find the y intercept by substituting the x and y for one of the points:

solving for b:

b=-32-(6)(-4)= -8.

So the equation is:

y = 6x - 8.

We can change it to:

y + 8 = 6x

8 = 6x - y.

So it’s (A).

Hope that helps!

Answer:

B I think

Step-by-step explanation:

find the value of a b and c.

Answers

Answer:

a= 90

2a= 135

b=45

c= 45

I think x

Step-by-step explanation:

Plsss help It due tmr plsss

Answers

Answer: 50

Step-by-step explanation:

exterior angles are supplement of interior angle therefore the 110 thing must be 70, also youre given 60 so 70+60=130

50 is missing from 180

2. French Vanitta K-Cups that originally
cost $5.99 are now on sale for $4.75.

Answers

Answer:

20.7% is the % decrease.

Step-by-step explanation:

 If you are finding the % of decrease then see below.

% Decrease = (Original Cost - New Cost ) ÷ Original Cost  × 100

5.99 - 4.75 = 1.24

1.24 ÷ 5.99 = .2070

.2070 × 100 = 20.7%

CAN SOMEONE PLEASE HELP ASAP I WILL GIVE 30 POINTS AND MARKED AS BRAINLIEST

Answers

I think it’s the United States

Answer:

it's the middle one

Step-by-step explanation:

help me please !!!!

Answers

Answer:

graph X only

Step-by-step explanation:

because with the rate of change it makes a straight line

How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

A) No solution

Step-by-step explanation:

Given the systems of linear equations, y = 2x + 1 and y = 2x - 1:

Both equations in the system have the same slope, m = 2, thus forming parallel lines.  Since their lines are parallel from each other, then it means that their lines will never intersect.

Therefore, the given systems of linear equation is an inconsistent system that has no solution.

in triangle abc it is given that AB =9 cm Bc=6cm and Ca = 7.5 cm also
triangle def is given that ef =8 cm and triangle def similar to triangle abc then perimeter of triangle def is ​

Answers

Answer:

Make me as brain liest plz

The perimeter of triangle DEF is; 30 cm

Similar Triangles

We are given dimensions of Triangle ABC as;

AB = 9 cmBC = 6 cmCA = 7.5 cm

Thus;

Perimeter of Triangle ABC = 9 + 6 + 7.5 = 22.5 cm

We are told that Triangle DEF is similar to Triangle ABC.

This means that the ratio of corresponding sides must be equal to the ratio of their perimeter.

Side EF corresponds to side BC. Thus;

Perimeter of Triangle DEF/22.5 = 8/6

Cross multiply to get;

Perimeter of Triangle DEF = (22.5 × 8)/6

Perimeter of Triangle DEF = 30 cm

Read more on similar triangles at; https://brainly.com/question/14285697

A seed company planted a floral mosaic of a national flag. The perimeter of flag is 2,340 ft determine the flag’s width and length if the length is 270ft greater than the width.

Answers

Answer:

l = 720ft w = 450ft

Step-by-step explanation:

[tex]2340 = 2l + 2w \\ l = w + 270 \\ 2340 = 2(w + 270) + 2w \\ 2340 = 2w + 540 + 2w \\ 1800 = 4w \\ w = 450 \\ \\ l = 450 + 270 \\ l = 720[/tex]

Answer: hope this

Step-by-step explanation:

Other Questions
A 100% efficient light bulb is the one that converts all the electricity to light without producing any heat. which of that following methods is the most economical way of increasing the light output from a lamp ?a) Replace the light with a new oneb) Clean the light surfacec) Switch of the bulbd) None of the above Please solve.Picture below I will give BRAINLIEST. Could someone give an answer along with a brief explanation pls. what is Juice WRLD (RIP) donating? ka wrote has been recommended E. Now change each of the following pairs of simple sentences into a complex sentence, 1. (a) I enjoy the book (b) I borrowed the book from the library, 2. (a) We hailed the boy (b) The boy scored two goals. 3. (a) I have found the key I had lost the key (b) 4. (a) (b) I like the radio The radio is in the common-room. 5. (a) (b) Let me see the shoes. You have just bought the shoes. pls help me and pls no link dont try me Julie has 300ml of juice, She gives of the juice away.How much juice does she give away? soemone helpme please Why should a child be among the first to receive protection and relief? What are the adverbs in the sentenceBecause the weather was so cold, everyone rushed inside for some hot chocolate The image shows a bar graph.A bar graph shows a series of 4 vertical bars along an x and y axis.In which scenarios would using this graph be best for a presentation? Select three options.showing energy produced by nuclear power plants in a country each yearcomparing the percentages of the types of pets owned in a community comparing the amount of rainfall recorded over the last four years in a statecomparing the number of men and women who earned engineering degrees in a decadeshowing the percentages of the various religions practiced in Indonesia Can i get some one to help end my scary story make sure it ends scary maybe grammar it too thxsSLAM The door behind me shut,the lights go off ,it was dark,it was too dark,I couldn't see my hands,where I was stepping, I didn't have a clue.Surprised enough I didn't trip. Big enough to be thunder a loud BOOM! I raced down the long room,like a hall,I knew what was coming next all my fears coming true. ZAP , FLASHlighting strikesBOOM BOOM thunder pounds.PitterPatter pitter patter RAIN!, pitter patter Just racing down and down the hall,Splash I trip,I keep movinging,Running,or racing it doesn't matterFLASHZAP pitter patter SplashSame thing kept repeating in my head Dont stop running ,Dont stop running,Dont stop runningDont stop running The louder and louder it got,Dont stop runningDont stop running Dont stop runningI cover my ears Yelling stop stop I keepscattering down the long hall I couldn't stop no I couldn't I heard sirens,maybe they had come for me, wouldn't care about anything just get me out of here! The sirens became louder And Louder And Louder Louder BOOM everythings all is colliding it's too much i'm overwhelming ``''ScreechAn awful cry starts still as hearing dont stop What is happening? I don't know,tick tock tick tock Screech Tick tock tick tock,Boom zapflashpitter patter ticktock,ticktock flashscreechSplashBOOM. SPLASH what was that!,My hands are covered in blood.zapflashtick tockBOOM. tick tock Screech Tick tock tick tock,Boom pitter patter ticktock,ticktock flashscreechSplash SPLASh.I trip, splash I cant bare it. I screamSTOP IT I SAY! JUST STOP! STOP IT drip,drip,drip.I curled up into a ball im lying there,soaked in blood.Crying in the corner,scared to be found,touched or carried.Seconds turn into minutes,minutes turn into hours,the hours turn into days, The days into weeks,weeks into months,The months into years.I feel to as i became to death,I couldn't see, nor hear, if the only thing i could hear, is the same,Tick tick tick tick, zap zap zap zap,tick zap tick zap tick BOOM,FLASH,tick zap zap zap tick,BOOM BOOM,FLASH, Scratch! BOOM FLASH ZAP,BOOM,SCREChThe louder and faster it got ZAP ZAP TICK SCHREACH BOOM BOM FLASH,ZAP,BOOM SCHRECH tick tick ,tick,BOOM FLASH, BOOM! ZAP.it just woulndt stop, it adding on new sounds i knew would come, POUND POUND POUND ZAP SPLASH,SCHEECH,BOOM,FLASH SCHREECH,ZAP ZAP,TICK TICK,POUND SPLASH! BOOM,SQUEAK SQUEAK,TIcK TICK POUND!Starting it again it keeps repeating over and over,BAM BAM Then it comes back, that little voice in my head telling me, to keep going 2. French Vanitta K-Cups that originallycost $5.99 are now on sale for $4.75. 50 points! What should I do while I listen to music? It's more of a lowkey kind of music, love/sad songs and such, the occasional upbeat song. what was the common goal of fusionists A. Direction: Arrange the given number tiles in a correct order to make it divisible to the given number. Apply the divisibility rules. Given Answer 3 8 4 3 2 9 1 6 8 3 8 3 8 0 5 1. Divisible by 8 2. Divisible by 4 3. Divisible by 11 4. Divisible by 12 5. Divisible by 4 6. Divisible by 8 7. Divisible by 11 8. Divisible by 12 9. Divisible by 4 10. Divisible by 8 7. 2 5 4 5 9 1 0 4 7 6 4 1 6 2 1 Please Help!! Asap!!A local club team is holding tryouts for six spots on the soccer team. Since there is not much time before a very important tournament they need to select the best players. Which method would be the best to ensure they select the "most talented" soccer players?A. They watch the players during tryouts and then put them on a list in order from the most skilled to the least skilled and then select the top six from the list.B. The first day of tryouts they select the first six that show up as they figure those are the most eager for a spot.C. They place all of the names of the people trying out in a hat and then select six out of the hat. Those are the ones that are chosen.D. They watch the players during tryouts and then put them on a list in order from the most skilled to the least skilled and then select the top three and the bottom three from the list. Nikko runs 6 miles a day and 3 days a week. How many weeks will it take Nikko to run 198 miles? What historical evidence suggests the story about Pocahontas saving John Smiths life did not happen? mmmmmmmmmmmmmtyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy A botanist found a correlation between the length of an aspen leaf and its surface area to be 0. 94. Why does the correlation value of 0. 94 not necessarily indicate that a linear model is the most appropriate model for the relationship between length of an aspen leaf and its surface area?.