What are the solutions of the quadratic equation
4x2 - 8x – 12 = 0 ?
A) x = -1 and x = -3
B) x = -1 and x = 3
C) x = 1 and x = -3
D) x = 1 and x = 3

Answers

Answer 1

Answer:

Step-by-step explanation:

4x2 - 8x -12 = 0

divide through by 4

x2 - 2x - 3 = 0

x2 - 3x + x - 3 = 0

(x2 - 3x) + (x - 3) = 0

x(x - 3) + 1(x - 3) = 0

(x + 1) (x - 3) = 0

x + 1 = 0 and x - 3 = 0

x = -1 and x = 3

Answer 2

Answer:

B IS THE ANSWER

Step-by-step explanat

(22x2 -  8x) -  12  = 0

  4x2 - 8x - 12  =   4 • (x2 - 2x - 3)

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -2 .

     -3    +    1    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  1  

                    x2 - 3x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-3)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-3)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-3)

            Which is the desired factorization

4 • (x + 1) • (x - 3)  = 0

A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately  

 

Any solution of term = 0 solves product = 0 as well.

  Solve  :    x+1 = 0

Subtract  1  from both sides of the equation :  

                     x = -1

   Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3


Related Questions

Explain how multiplying with 6 is like multiplying with 3.

Answers

Answer:

Step-by-step explanation:

lets say 6 times 6 =36

3 is a half of six so if you

      6x6=36

     3x6=18

yeeeeeeeeeeeeetaco avatar
yeeeeeeeeeeeeetaco
05/08/2021
Mathematics
High School
answered
Alex has some marbles.
Billie has three times as many marbles are Alex.
Chris has 9 fewer marbles than Billie.
In total they have 68 marbles.
How many marbles does Alex have?

Answers

can you say me from which cource is this

please tell me how this done with steps so I can do this on my own as well

Answers

Answer:

6

Step-by-step explanation:

Because J is the midpoint of KL, it means that KJ ans JL are equal.

Think about it like this:

What is the midpoint (or halfway point) of 4 and 8? The answer is 6, you would do 4 + 8 which is 12 and divide it by 2. There is an equal distance of 2 between 4 and the midpoint, and midpoint and 8. In the same way, JL is also 6

Hope this helps!

Step-by-step explanation:

the midpoint of a line splits the line into 2 equally long parts.

therefore, JI must be equally long to KJ.

x = 6

and with KJ = 6 and JI = 6, then KI = KJ + JI = 6+6 = 12


*) Match each description to the term that it represents.
the number of words made
3t
the number of tiles not used
10w
) the points earned from words made
1) the points taken away from tiles not used
W

Answers

Answer:

its 10w-3t+5

Step-by-step explanation:

can anyone heelp me pls

Answers

Answer:

I think it's b.

Step-by-step explanation:

b. ,. ....

PLEASE HELP ME SO I CAN GRADUATE!!!!!
What is the y-intercept of the line passing through the point (4,-5) with a
-2
slope of ?
A.
41
9
O
B.
O
O
D.
49
9

Answers

Answer:

A: -41/9

Step-by-step explanation:

Substitute the point (4, -5) and slope -1/9 into the equation y = mx + b.

-5 = -1/9(4) + b

-5 = -4/9 + b

Solve for b:

b = -41/9

Our equation: y = -1/9(x) - 41/9

when we went shopping I had $15 i lent $5 and spen $8 then borrow $12 from down at the end did I have money in my purse or did I owe money how much​

Answers

You have 14 dollars so you would owe on dollar

Answer:

Step-by-step explanation:

2.Pleas can someone answer!

Answers

Answer: A, A, C

Step-by-step explanation:

Educated Guess because none of them are going to be zero so it's either A or C but the point has a negative y so to plug it all in all of them have to be negative ex. -1 + -1 + -1 =-3

the x is -1 so both have to be negative in order to get -3

What is the first whole number greater than 11?

Answers

Answer:

4

Step-by-step explanation:

The √11 is ≈ 3.3166....

So the first whole number GREATER than 3.3166 is 4

-Chetan K

Answer:

√11 = 3.3166

The first whole number greater than 3.3166 is 4

Hope This Helps!

what is the first digit in the quotient of 1,898 divided by 9

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

The first digit of the quotient is 0. This is because the first digit of the dividend (1) is less than the divisor (9).

See the attached image for the complete long division.

__

The first non-zero quotient digit is 2 = 18/9.

How do I find the standard deviation?

Answers

Answer:

Step-by-step explanation:

Work out the Mean,

Then for every number, subtract the Mean and square the result.

Then work out the mean of those squared differences

and then take the square root of that.

Two more than the quotient of a number and 4 equals 7.

Answers

Answer:

20

Step-by-step explanation:

we can set up the equation like this:

n/4 + 2 = 7

subtract 2 from both sides

n/4 = 5

multiply 4 to both sides and you get...

n = 20

"The sum of a number and 7 divided by -3, is 2."

Answers

(x + 7)/-3 = 2
Multiply by -3
(x+7) = -6
Subtract 7
x = -13

The number is -13

I need to learn about percent, proportion, and mixture word problems

Answers

Answer:

Percent:

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

X and Y are numbers and P is the percentage:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Mixture:

Solving a percent mixture problem can be done using the equation Ar = Q, where A is the amount of a solution, r is the percent concentration of a substance in the solution, and Q is the quantity of the substance in the solution.

Proportion:

Many "proportion" word problems can be solved using other methods, so they may be familiar to you. For instance, if you've learned about straight-line equations, then you've learned about the slope of a straight line, and how this slope is sometimes referred to as being "rise over run". But that word "over" gives a hint that, yes, we're talking about a fraction. And this means that "rise over run" can be discussed within the context of proportions.

Step-by-step explanation:

Hope This Helps!

A biased coin has a probability of 0.4 of coming up heads. What is the probability that when flipped one hundred times it comes up heads half of the trials or more. Give answer to at least three decimal points.

Answers

Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x) p = probability of success = 0.4q = 1 - p = 0.6n = number of trials = 100

P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)

Using a binomial probability calculator :

P(x ≥ 100) = 0.0271

Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271

Learn more :https://brainly.com/question/12474772

Which fractions are equivalent to 1012?

Answers

[tex]50/60[/tex]

That should be your answer

Answer:

Hello, There! I'm here to help!

Question

Which fractions are equivalent to 10/12?

Answer

According to The Question I'm guessing you mean 10/12

If so The Following Fractions are Equilvalent to 10/12

1. 20/24

2. 30/36

3. 40/48

5. 50/60

Step-by-step explanation:

To get Eqilvalent You Can Multiply Number  to the fractions to find out what's Equilvalent

Therefore, I hope this helps you!

i am just completely lost at this point so pls just answer properly

Answers

Answer:

$80

Step-by-step explanation:

192÷12=16

16•5=80

Answer:

Elena puts in $80 into her savings account

Step-by-step explanation:

You need to multiply 5/12 and 192. Think of "5/12 x 192" as "5/12 of 192." If you don't know how to multiply a fraction with a whole number, you can convert the fraction to a decimal. Hope this helps!

solve pls brainliest

Answers

Answer:

Triangle A) acute

Triangle B) right

Triangle C) obtuse

Triangle D) obtuse

Step-by-step explanation:

Any triangle less than 90° is acute.

Triangles at exactly 90° are right triangles.

Any triangle more than 90° are called obtuse.

how to convert 111101 from base 2 to base 10​

Answers

Answer:

61

Step-by-step explanation:

So basically you separate the numbers like 1 1 1 1 0 1, and time 2 while having the number of numbers as the exponent decreasing. Like this, 1x2^5+1x2^4+1x2^3+1x2^2+0x2^1+1x2^0. Then figure it out and it would be 32+16+8+4+0+1=61. If don't understand, look at the picture below

I when I'm 10, my brother is half of my age. How old is my brother if I am 44 now

Answers

Answer:

Step-by-step explanation:

A-B = 4–2 = 2 (age difference between A and B). IF A = 44,. B = A - 2 = 44 - 2 = 42 years old.

Answer:

39 years old

It could be;

10 ÷ 1/2 = 5

Age difference= 10 - 5= 5 years

So, 44 - 5 = 39 years old

Please help me solve questions 10 & 11 (WILL MARK BRAINLY)!!!!!!

Answers

Answer:

10 c 100 b 1000 D 8888 A 2337

if there are approximately 1;000 middle schools in nyc then how many total middle schools students are there un the city​

Answers

Answer:

Hey you didn't add enough information to answer the question, maybe add some more? Also for this question it will probably be a multiplication or division. Sorry I couldn't help more :)

Step-by-step explanation:

Jason walked to a friends house at a constant rate. It took him 6 minutes to walk 4 blocks. If his friend lives 14 blocks away how long will it take him to get to her house

Answers

6/4=1.5=14*1.5=21

21 minutes

The total temperature measured by 3 thermometers was −15 degrees Fahrenheit.

What was the average temperature measured by the 3 thermometers?

Answers

-5 degrees Fahrenheit

Let () = sin( 3 ). a. Find ′ ()

Answers

Answer:

.052

Step-by-step explanation:

sin(3) = .052

() = sin(3)

() = .052

If sinx, 1,Cos2x are in GP then X=​

Answers

Answer:

I am doinnnnngggghgh ggggggh

Answer:

god knowsnnsjjejjejek

What is the value of 5 in 102,587?

Answers

Answer:

Value of 5 is 500

From right to left ones, tens, hundreds, thousands, ten thousands, hundred thousands

5 is in the hundredth place

HOPE THIS IS WORTH IT :)

59+2=?
help i need somebody help not just anybody

Answers

Answer:

59+2=61

Step-by-step explanation:

What is the value of x in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
14
х
B
L
D
с
30
O A. 30.1
B. 6.5
C. 14
O D. 16

Answers

Answer:

D. 16

Step-by-step explanation:


Suppose two trains leave a certain station, at the same time, traveling in opposite directions. One train travels 30 mph faster than the other. In 2.5 hours, the trains are 205 miles apart. Find the speed of each train


Answers

9514 1404 393

Answer:

  56 mph, 26 mph

Step-by-step explanation:

The trains are separating at the rate of (205 mi)/(2.5 h) = 82 mi/h. If we let s represent the speed of the slower train, then that sum of their speeds is ...

  s + (s+30) = 82

  2s = 52 . . . . . . . . . . subtract 30

  s = 26 . . . . . . . . . divide by 2

  s +30 = 56 . . . the speed of the other train

The speeds of the two trains are 56 mph and 26 mph.

Other Questions
Fred's family wants to switch cell phone plans. Hot Spot Mobile is offering a one-time discount of $50 for families that use multiple phones with their service. Fred's family uses 5 phones, and the salesperson said the first month's payment, which includes the discount and the regular monthly rate for each phone, will be $62.25. What is the regular monthly rate for each phone? which fitnessgram test assesses upper body strength and endurance? The movement of water across a membrane moving with the concentration gradient is calledA. facilitated diffusionB. osmosisC. active transportD. None of the above Belinda is thinking about buying a house for $286,000. The table below shows the projected value of two different houses for three years:Number of years 1 2 3House 1 (value in dollars) 294,580 303,417.40 312,519.92House 2 (value in dollars) 295,000 304,000 313,000Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)Part C: Belinda wants to purchase a house that would have the greatest value in 25 years. Will there be any significant difference in the value of either house after 25 years? Explain your answer, and show the value of each house after 25 years. (4 points) Help WILL NAME BRAINLIEST Name the jelly like fluid that the other organelles float around in a cell. O Cytoplasm O Cell Membrane O Chloroplast the study of food components and how the body uses them to sustain life and health is How can the interest of the farmers be protected? if billy had 5 toy car and JR had 40 toy car how many toy car all to together if yall get it right you get 43 point housing prices boomed from 2002 to 2006, fueling the market for subprime mortgages and forming an asset-price bubble. housing prices began declining in 2006, falling by more than 30%, which led to defaults by subprime mortgage holders. 22. Calculate the displacement in meters a cyclist would travel in 5.00 h at an averageof 12.0 km/h to the south west what is the equation of the line that passes through the point(-5,-4) and has a slope of -3/5? because one original strand of the double-stranded helix is found in each daughter molecule, the replication process is called Which of the following is the healthiest type of carbohydrate? MARKING BRAINLIEST: Can someone create a online graph - More information in the screenshot below Which product is negative? 7(3)(5)(8) 3(4)(9)0 2(4)8(1) 6(2)(3)1 In the text "Glenn Miller" What is the main idea of the third paragraph in the passage? What details support this main idea? nice life everyone am out of here What words did the Pilgrims use to describe the new laws?new and legaljust and equalgodly and fairIn the underlined section, what do the colonists promise to do? and by virtue hereof to enact, constitute and frame such just and equal Laws, as shall be thought most meet and convenient for the general good of the Colony, unto which we promise all due submission and obedience.Mayflower Compact 632 16/25 +32 3/10 answer in decimal