ILL GIVE BRAINLIEST
ALGEBRA 2 There are several methods for solving quadratic equations. But why don’t we use the same method every time? Wouldn’t that be easier?
What is your preferred method for solving quadratic equations? Describe the method in your own words and explain why you prefer it over the other methods.
What are the limitations of your preferred method?
Please follow these guidelines for your discussion posts:

Write at least 150–300 words.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

I'll provide an example to help you. Let's say we were solving [tex]x^2+5x-7=0[/tex] and we wanted to factor the quadratic on the left side. We can't do that because the factors of -7 don't add up to 5. So we'd have to use the quadratic formula. The quadratic formula is essentially the last resort that will solve all quadratic equations, so it could be seen as a preferred method. But, unless you can factor the quadratic, it's much easier to solve.

Now let's do another one. [tex]x^2+5x+6=0[/tex] for example can be written as [tex](x+2)(x+3)=0[/tex] and we can easily get [tex]x=-2[/tex] and [tex]x=-3[/tex] as solutions since plugging them into the factors would produce 0 (from the Zero Product Property). If we used the quadratic formula, it would take more time to plug in the variables and solve when we can just simply factor.

Hopefully, this explanation helps you to think of your discussion post!


Related Questions

write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]

|-13| = I do not get how I solve this equation could you please help me

Answers

Answer:

13

Step-by-step explanation:

whenever you take the absolute value of something it changes from negative to positive

|-13| is 13, its just how far away it is from zero

The answer I need for this question is of how to solve this question and not what x is.

Answers

Step-by-step explanation:

You know that all the degrees in a hexagon is 720.

84+87+128+150+103=552

Subtract 552 from 720.

You don't want x so just do 720-552=x

Select the correct answer.
Estimate the solution to the following system of equations by graphing.
3x + 5y = 14
6x - 4y=9

Answers

Answer:

Approximately (2, 1)

See image

Step-by-step explanation:

Rearrange each equation so it is ready to be graphed on an x-y-axis (see image) look for the point where the two lines cross. This is the solution for the system of equations.

Answer: 5/2, 4/3

explanation: got it from a different verified answer

this is the next question. Solve: 8( 4 - 2^{6} ÷ 4)

Answers

8(4-2^6/4)
8(4-64/4)
8(4-16)
8(-11)
-88

Hey there!

8( 4 - 2^{6} ÷ 4)

= 8( 4 - 2^6 ÷ 4)

2^6

= 2 * 2 * 2 * 2 * 2 * 2

= 4 * 4 * 4

= 16 * 4

= 64

= 8(4 - 64 ÷ 4)

= 8(4) + 8(-16)

= 32 - 128

= -96

Therefore, your answer is: -96

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

what is the answer to Lora read 1/8 of a comic book in 2 days she read the same number of pages everyday what part of the book does she read in a week? and how to show the work

Answers

Answer:

7/16 of book

Step-by-step explanation:

1/8 book in 2 days means Lora reads 1/16 book every day

In 1 week (7 days), Lora reads 7 x 1/16 = 7/16

How many 4 ounce servings can I make from a 2/38 pound salmon. Someone please help! I'm super stumped!

Answers

Ok so you have to divide it and you will get 2/7

The table below shows the proportional relationship between the weight of cereal, in ounces, and the number of packs of cereal:


Number of Packs
of Cereal Number of Ounces
of Cereal
2 34
3 51
4 68


What is the constant of proportionality?
9
17
34
36

Answers

Answer:

The answer is a

Its a because 13 times 3 is 39

13 times 4 is 52

and 13 times 5 is 65

Credit to: alizahalder2007

the answer is a because it is constant

At your school, the building is 20 feet tall, a tree's height is 252 inches, and the flagpole is 6 yards high.

Which of the three objects casts the longest shadow?

Answers

Answer: The Tree height is 21 feet.

Step-by-step explanation:

Let's convert the measurements to feet:

The Building is 20 feet.

The Tree height is 21 feet.

The Flagpole is 18 feet.

Therefore, the Tree is going to cast the longest shadow since it is the highest.

Can you please help me with this question

Answers

Answer:

  B

Step-by-step explanation:

The table that represents a function will have no x-values repeated.

  A. 4 is repeated -- not a function

  B. all x-values are unique -- this is a function

  C. 2 is repeated -- not a function

  D. 3 is repeated -- not a function

Jon buys a shirt for $40 and then buys socks for $15. He lives in Maine and their
sales tax rate is 5%. How much will his sales tax be?

Answers

Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.

His sales tax will be $2.75.

Need help ASAP PLEASEEEEE

PLEASE DONT DELETE YOUR ANSWER THIS IS REALLY IMPORTANT !! :(

Answers

Answer:

  (a)  (4, -6)

Step-by-step explanation:

Try the values in the inequality and see which gives a true statement.

a) -3(4) +6 ≥ 5(-6)   ⇒   -6 ≥ -30 . . . . true for (4, -6)

b) -3(2) +6 ≥ 5(3)   ⇒   0 ≥ 15 . . . . FALSE for (2, 3)

c) -3(-1) +6 ≥ 5(10)   ⇒   9 ≥ 50 . . . . FALSE for (-1, 10)

d) -3(6) +6 ≥ 5(-2)   ⇒ -12 ≥ -10 . . . . FALSE for (6, -2)

Of course, if you're expecting only one right answer, you can stop after you found it.

A bag holding 7 1/5 pounds of mixed nuts will be divided equally among 9 people.
How many pounds of nuts will each person get?

Answers

Answer:

4/5

Step-by-step explanation:

So sorry if im wrong <3

Answer:

Each person will get 4/5, or 0.8 pounds of nuts.

Step-by-step explanation:

First, we need to convert 7 1/5 into an improper fraction, by multiplying

7 x 5 = 35

and adding

35 + 1 = 36

Our improper fraction is 36/5

Now, we can divide

36 / 9

5 /  1

To do so, we need to switch 9/1 to its reciprocal, 1/9, and then multiply

36 x 1 = 36

5 x 9 = 45

Our answer is 36/45

We can simplify our answer by dividing by 9

36 / 9 = 4

45 / 9 = 5

Our final answer is 4/5, or 0.8 pounds of nuts

in 2020 the attendance at kennedy school's spring festival was 210. in 2021 the attendance was 168. What was tge percent change in the attendance from 2020 to 2022 tound to nearest whole percent

Answers

Step-by-step explanation:

Total change in number of student = (210 - 168)

=> 42

% change = Change/Original no. of students × 100

=> 42/210 × 100

=> 42/21 × 10

=> 20%

expand and simplify (x-2)³

Answers

Step-by-step explanation:

(x-2)³ = (x-2) × (x-2) × (x-2)

(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4

(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8

x³ -6x² +12x - 8

PLEASE HELP! A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges?

A. c = 1.25p B. p = 1.25c

C. c = 3.75p D. p = 3.75c

Please answer asap

Answers

Answer:

The answer is A

Step-by-step explanation:

$1.25*3=3.75

When looking at a graph, explain how you would know two variables were not proportional.

Answers

Answer:

a straight line that does not go through the origin.


I need help with this question it Is math ​

Answers

Answer:

.y+1=4(i-2)

Step-by-step explanation:

Question 3 Multiple Choice Worth 4 points) (03 02) A fish is 5 feet below the surface of a lake if its position can be recorded as -5 feet what would the position of o representa o the distance above the surface of the lake O the distance below the surface of the lake O the surface of the lake me height of the fish​

Answers

Answer:

omg u a real one been lloking for this bing bong

Step-by-step explanation:


regan sold 2200 cookies in a fundraiser to "save the world" and raised $5000. If she sold
her Snickerdoodle cookies for $1.50 each and chocolate chip cookies for $4.00 each, how
many chocolate chip cookies did she sell?

Answers

Answer:

she sold 680 chocolate chip cokies

Step-by-step explanation:

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

Answer:

A

Step-by-step explanation:

The open side means thats number is bigger. Ex: 1 < 2 or 2 > 1

Hope that helps

What is the slope of a line that is perpendicular to the line that passes through the points (4, 7) and (9, 3)?

Answers

Answer:

5/4

Step-by-step explanation:

The original line is

7 - 3 / 4 - 9

4/-5, so the slope is -4/5

Perpendicular means the opposite sign and reciprocal.

5/4

Help figure this out quick!

Answers

The answer is:

12m + 5n is already factored. They cannot be factored any further because they are both rational numbers that do not have like terms.

What is 2 rounded to the nearest whole number?

Answers

Answer:

2

Step-by-step explanation:

Helpp
10.
9.
7 ÷
7x
7 mi
=
=
1
3
gal
1-0 0-0
O
miles per gallon

Answers

Answer:

21mi/gn

Step-by-step explanation:

7mi/1/3gncalculate the product

7mi/gn/3simplify the complex fraction

So the answer is=21mi/gn

Hope it helps

What is the graph of y- (-1) = -1/2(x-(-2))?​

Answers

Answer:

Y(355-+=098) THAT WHAT I GOT

Step-by-step explanation:

how do you write the equation of the line that passes through the points (-9,4) and (7,-2)

Answers

Answer:

y = -3/8x+5/8.

Step-by-step explanation:

First, we'll find the slope. This is (y_2-y_1)/(x_2-x_1). So, we do -2 - 4 / 7 --9. This goes to -6/16. Simplifying gets us -3/8. Now, we have y= -3/8x + b. We can solve for b by plugging in points. Using the first point, it goes to 4 = 27/8+b, we can solve for b now, getting us 5/8. So, the complete equation is y = -3/8x+5/8.

Answer:

y = (-3/8)x + 5/8

Step-by-step explanation:

First we need to find the slope of the line connecting these two points.  Slope is represented by m and is equal to rise/run.

Going from the first point to the second, we see x increasing by 16 (this is the run) and y decreasing by 6 (this is the rise).  Thus, the slope of this line is

m = rise/run= -6/16, or -3/8.

Adapt the slope-intercept formula y = mx + b to this situation.  From the point (-9, 4) we get x = -9 and y = 4, and m = -3/8.  Then we have:

4 = (-3/8)(-9) + b, from which we get the y-intercept, b:

4 = 27/8 + b, or 32 = 27 + 8b, or 8b = 5, so that b = 5/8.

The equation describing this situation is y = (-3/8)x + 5/8.

Identify two ANGLES that are marked congruent to each other on the diagram below


Answers

Answer:

Angle J is congruent to Angle G

J and G are congruent with each other


The equation A = 1/2bh (one halve) gives the area A of a triangle, where b is the length
of the base and h is the height. Solve this equation for h.

Answers

Answer:

h= (2a)/b

Step-by-step explanation:

solved for equation

(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2) in standard form

Answers

Answer:

C(C^3 + 8C^2 -3C -7)

Step-by-step explanation:

(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2)  

(-3C^4 +4C^4)+8C^3 + ( -5C^2 +2C^2)  -7C  [Combine like terms]

C^4 + 8C^3 -3C^2 -7C                                     [Simplify]

C(C^3 + 8C^2 -3C -7)                                   [Isolate 1C from the rest]

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