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

Please help thank you

Answers

I’m not sure, what is the unit called

What is the value of x in the proportion below? -

2/3 over 5 = x over 15

•2
•3
•10
•75​

Answers

Answer:

2/3 over 15 is 10

so 10/5=2

2 is the answer

Step-by-step explanation:

6
LA
3
2
1
-6
-5
-4
-3
-2
- 1
1
2
3
4
- 1
N-
-2
What is the slope of line segment AB?
A
NIN
B)
3
4
o
4
3
D
IN

Answers

Answer:)

Step-by-step explanation:

Can anyone help me with the question in the picture?

Answers

26.

Set the terms given equal to each other, since same side interior angles are congruent. Then solve for x. You should get 26.

Answer: x=26

set 4x+8=6x-44

then get the x to the left side and make it stand alone by subtracting the other numbers to get them over

Hope this helped a little XD

I have more question then this one

Answers

Answer:

option b

Step-by-step explanation:

have a great day

Write a compound inequality for the graph shown below
Use x for your variable

Answers

I can’t type symbols so I’ll just write it out.

-1 is less that or equal to x is greater than 1

Can someone help me and explain this to me step by step?

Answers

Answer: 11/9

Step-by-step explanation:

First, convert two to 18/9. This is still equal to two but this makes it easier to answer the problem, because both of the terms have the same denominator. Now, since both of them have the same denominator, all you need to do is subtract the numerators, and put that over the denominator of 9. 18-7=11. So the answer is 11/9. This is an improper fraction, though you could also make it into a mixed number: 1 and 2/9.

Answer:

11/9

Step-by-step explanation:

Add a one under the 2. So that it becomes 2/1. Now you have the expression, 2/1 - 7/9. To subtract fractions, you need the denominators of the two fractions to be the same. We can put 9 as the common denominator. All you have to do in order for 2/1 to have 9 as its denominator, is to multiply 9 for both the numerator and denominator; 2/1 x 9/9 = 18/9. After that, your new expression would be 18/9 7/9. Just subtract across, 18 - 7 = 11, keep the denominator 9. The answer should be 11/9

gloria rode her bicycle 11.75 miles in the morning and 2.3 miles in the afternoon how many miles did gloria ride altogether.

Answers

Answer:

13.05

Step-by-step explanation:

1

11.75

+ 2.3

13.05

Answer:

14.05 miles

Step-by-step explanation:

To find the total amount of miles, we have to add 11.75 and 2.3, or 2.30. First, we add our hundredths:

0.05 + 0.00 = 0.05

Then, we add our tenths:

0.7 + 0.3 = 1

Then, we add our ones:

1 + 2 = 3

Finally, we add our tens:

10 + 0 = 10

Now, let's add all those numbers together. 10 + 3 + 1 + 0.05 = 14.05.

A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.

Each minute, the faucet allows 1215 gallons of water to enter the pool, and the drain allows 1523 gallons to leave the pool.

What is the change in the amount of water in the pool after 112 minutes?


Enter your answer as a simplified mixed number by filling in the boxes. FRACTION PROBLEM

Answers

Answer:

-34496 gallons = 34496 gallons less

Step-by-step explanation:

In 112 minutes, 1215(112) = 136080 gallons of water is added by the faucet

In 112 minutes, 1523(112) = 170576 gallons of water are drained from the pool.

So, assuming that the pool is not completely drained in the 112 minute time interval, the change in the amount of water = 136080 - 170576 = -34496 gallons; i.e., the amount of water in the pool is 34496 gallons less.

SOLVE ASAP!!!!! NO LINKS!!!!!!∛²³1 + 4 x -96

Answers

Answer:

All i got was 3√23+4x−96

Step-by-step explanation:

AWARDING 100 POINTS

Write blue, red, or orange in each section of the circle graph based on the following data:

There are 32 children. 25% of the children like blue, 16 children like red, and 8 children like orange.

Answers

25% of the children like blue, so 0.25*32 = 8 like blue. This is the same number of people who like orange.

So you'll have "blue" in one quarter slice and "orange" in another quarter slice.

So far, we've counted 8 blue + 8 orange = 16 total. Because there are 32 kids overall, this leaves 32-16 = 16 left. This matches up with the fact that 16 like red. This is half of 32, meaning we'll shade two quarter slices to indicate red. Put another way, you'll have "red" in two slices.

Check out the diagram below. That's one possible configuration (other combos are possible).

Ok so 25% like blue, so if we had to make an equation it would be 0.25 x 32 because that would give us the number of children who like blue. So, when we do that we get 8 which is the same amount of kids who like orange. So, 1/4 of that circle would be blue and another one fourth of the circle would be orange. So now we have to look at the red. It says "16 children like red" and we know that theres a total of 32 kids. So, since 1/2 of the circle was of the kids who like blue and orange, the other half has to show the amount of kids who just like red. Look at screenshot below to help.

Helppppppppppppppppppppppppppppppppppp

Answers

Answer:

The answer would be 7 I hope this helps! : )

Answer:

it's 2

Step-by-step explanation:

if we solve 3×2×1/3

then we will get 2 .

the differentiation of x^4 + y^4=0 is..?​

Answers

Answer:

I am doinnnnnmngggg gggg

solve pls brainliest

Answers

1- 192
2-36

1- 168(original altitude)
+360(because the question says the hill is ______ 360 feet higher than checkpoint 2)
192


2- 168(checkpoint 2)
-132( checkpoint 4)
______
036

use the given zero to find all the zeros of the function.

g(x)= 3x^3+11x^2+11x-5
zero: -2+i

Answers

Answer:

11x + 5

Step-by-step explanation:

Two movies, an action movie and a drama, were released on the same day. The producers of the action movie claimed that their movie would be better received by audiences than the drama. To test the producers' claim, CinemaScore randomly selected 100 people and showed them both movies. Then the viewers were asked whether they liked or disliked each movie. The results are shown in the table. ​

Answers

Answer:

C is the correct answer.

If you need an explanation tell me.

More people like the action movies.

What is comparison of two numbers?

Comparison of two numbers, means to examine the differences between numbers, quantities or values to decide if it is greater than, smaller than or equal to another quantity.

According to the given question

We have a data in which

Number of people who liked action movie = 78

Number of people who liked action movie = 60

Number of people who disliked the action movie = 22

And, number of people who disliked the drama movie = 40

From the given data we conclude, that action movie is liked by more people as compared to drama movie because 78 > 60.

Hence, the action movie is better received by the audience than the drama.

Learn more about comparison of two numbers here:

https://brainly.com/question/5220791

#SPJ2

When do we use 180 or 360 to solve interior or exterior angles

Answers

Answer:

when it is alternate

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

when it iş alternate

if x=-y+3 and 3x-2y=-1 what is the value of x and y

Answers

Answer: x=1, y=2

Step-by-step explanation:

3(1) - 2(2)=-1

Which expression has a value located to the right of 1 on the number line?
A - 1-7
B. 1 - 7
C. -7 - 1
D. 7 + 1​

Answers

Answer:

The correct answer is D

Step-by-step explanation:

because a, b, and c all equal a negative which goes on the left side of 1 but d is the only one that equals a positive number which goes on the right side of

Correct me if I'm wrong

Please give thanks

A line passes through the points (0,5) and (3,6). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

Slope intercept form:

y = 1/3x + 5

1.(154)10=(?)2
helpme! to solve it plz.​

Answers

Answer:

I think its (10000110)2

Charlie drove 495 miles in 9 hours. How long would it take to drive 715 miles?

Answers

Answer:

13 hours

Step-by-step explanation:

if he drives 495 miles in 9 hours, he drives 55 miles each hour. 55x13=715

Answer:

13 hours

Step-by-step explanation:

Charlie drove 495 miles in

= 9 hours

∴ Rate

= miles/hours

= 495/9

= 55 miles per hour

∴ No. of hours to travel 715 miles

= miles/miles per hour

= 715/55 hours

= 13 hours

Thus, 13 hours would it take to drive 715 miles.

Need help with number 2 and 3

Answers

Answer:

2. SSS ( Side-Side-Side)

Someone please help me with this.

Answers

Answer:

Step-by-step explanation:

I know this is rather sneaky, but on a multiple choice question on a quiz, you need all the help you can get.  I'm not saying this is a quiz, by the way. It doesn't say that it is anywhere.

Look carefully at the first three statements. Is there an angle mentioned at all? There isn't, is there? That being the case (and since nothing is marked as a right angle), the only possible answer is SSS which D.

Answer:

D

Step-by-step explanation:

There are not any angles shown, and the triangle is not a right triangle, so it is SSS

Bvtcctctctc CJ bububuv

Answers

Answer:

A) [tex]y+7=-3(x-4)[/tex]

Step-by-step explanation:

Hi there!

The given equations are written in point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope of the line and [tex](x_1,y_1)[/tex] is a point that falls on the line

Notice how the line is travelling infinitely down as x increases. This means that the slope is negative.

Therefore, the equation of the line is either A or B.

Now, let's look at A:

[tex]y+7=-3(x-4)[/tex]

This equation suggests that the point (4,-7) falls on the line, which it does.

Therefore, the equation of the graph is [tex]y+7=-3(x-4)[/tex].

I hope this helps!

Answer: A.) y + 7 = - 3 ( x - 4 )

Step-by-step explanation:

i didnt know i was a graph lolz im just playin have a nice day kind person and sorry for answering late!!!!!!

Isis is 8 years younger than
her sister. The sum of
their ages is 44 years
How old is Isis and
how old is
her sister,

Answers

Answer:

Isis 18 and her sister 26

Step-by-step explanation:

Isis is 8 years younger than

her sister. The sum of

their ages is 44 years

How old is Isis and

how old is

her sister,

(44 - 8) : 2 = 18

18 + 8 = 26

------------------------

check

23 + 18 = 44

the answer is good

Please show steps please

Answers

Answer:

x - 2, remainder -4

or

x - 2 + (-4)/(x + 6)

Step-by-step explanation:

                           x - 2

                      --------------------------------

           x + 6   |  x^2 + 4x - 16

                 -       x^2 + 6x

                -----------------------

                                -2x - 16

                         -      -2x - 12

                        ------------------

                                          -4

Answer:

x - 2, remainder -4

or

x - 2 - 4/(x + 6)

Answer:

x - 2

Step-by-step explanation:

I uploaded a photo!

help please i will give brainliest ^^;;

Answers

Answer:

The slope for number 4 is 5/-4 and for number 6 is 4/1

Step-by-step explanation:

5/-4: slope is rise over run so you have to go up (positive) 5 and you have to go to the left (negative) so its 5/-4

4/1: again it's rise over run so you have to go up (positive)  4 and right one (positive)

Answer:

hello

are you army

who is your bias

def is a right triangle.

Answers

Answer:

false

Step-by-step explanation:

I am not sure about it if correct pls no mark me as brainliest tq

It’s not a right angle, the length is not the same

Part A 4.59 is 3.4% of what number ?
Part B 98% of 66 is what number ?
Part c what number is 36% of 142 ?

Answers

A= (4.59 x 100)/ 3.4= 135
B= (66 x 98)/100= 64.68
C= (142 x 36)/100= 51.12
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