what are all the different methods for solving quadratic equations? discuss the pros and cons of each. what indicators predict when a quadratic equation will have a complex solution

Answers

Answer 1

Answer: are factoring, using square roots, completing the square and quadratic formula.

Step-by-step explanation:


Related Questions

7 -14m = 2m - 5 multi step variables on both sides

Answers

7 - 14m = 2m - 5

  +14m   +14m        (add 14 on both sides)

_____________

7 = 16m - 5

+5         + 5            (add 5 on both sides)

_____________

12 =  16m

__    ___             (divide 16 on both sides)

16      16

m = 0.75

Answer:

m = 3/4

Step-by-step explanation:

7 - 14m = 2m - 5 (given)

7 + 5 - 14m = 2m - 5 + 5 (addition poe)

*add 5 to both sides to cancel -5 out*

12 - 14m = 2m

12 - 14m + 14m = 2m + 14m (addition poe)

*add 14m to both sides to cancel -14m* out*

12 = 16m

12/16 = 16m/16 (division poe)

*divide by 16 on both sides to cancel out the coefficient*

12/16 = m

m = 12/16 (symmetric property)

*mirror to the other side*

m = 12÷4/16÷4 (division poe)

*divide the numerator and denominator by its greatest common factor*

m = 3/4

What is the value of f-1(4)

Answers

Answer:

x=4 hope that helps I did it on my calculator story if it is wrong

my teacher told me to answer this it got complicated for me

Answers

Answer:

SOLUTION FOR A:

YOU NEED TO MULTIPLY THE VARIABLE FROM THE DENOMINATOR

SOLUTION FOR B:

MULTIPLY TO REMOVE THE VARIABLE FROM THE  DENOMINATOR

THE ANSWERS FOR SOLVING FOR B AND A ARE IN THE SCREENSHOTS

yk i just rlly wanted to type in caps-

A rectangle has side lengths of 2x - 1 and x + 1. If the rectangle's area is 90 square inches, what is its perimeter?

Answers

Answer:

39

Step-by-step explanation:

x=6.5

2(6.5)-1=12

6.5+1=7.5

12+12+7.5+7.5=39

Please help if possible thank you♥️

Answers

Answer:

B.

Step-by-step explanation:

16 * 4 = 64

The square root of 64 is 8, the square root of 16 is 4, and the square root of 4 is 2

4 * 2 = 8

Please mark Brainliest thank you!!

15 points + brainliest hurry plz its an image

Answers

The answer would lead to C

Number 10 will be marked brainliest

Answers

Answer:

Sorry. Please mark as brainliest

QUESTION 1: In Exercises 5–8, use the method illustrated in Example 2 to determine moving averages by subtraction and addition. Determine the 6-day SMA for the ten consecutive trading day closing prices for SunEdison Inc. Listed below. $2.65, $2.63, $2.70, $2.63, $2.50, $2.65, $2.66, $2.56, $2.52, $2.37 * 5 points

Answers

Answer:

The 6-day SMA for the ten consecutive trading day

= $2.63,  $2.63,  $2.62,  $2.59,  $2.54

Step-by-step explanation:

Determining the 6-day SMA for the given values

using the addition and subtraction methodology

First we will determine the Average closing prices for 1 - 6 days

=  [tex]\frac{2.65 + 2.63 + 2.70 + 2.63 + 2.5 + 2.65}{6}[/tex]  =  15.76 / 6 =  $2.626 ≈ $2.63

next we have to determine the SMA for days 2 - 7

= 2.63 - [tex]\frac{2.65}{6} + \frac{2.66}{6}[/tex]  =  [tex]\frac{15.77}{6}[/tex]  ≈ $2.63

SMA for days 3 - 8

= 2.63 -  [tex]\frac{2.63}{6} +\frac{2.56}{6} = \frac{15.70}{6}[/tex] ≈  $2.62

SMA for days 4 - 9

= 2.62 - [tex]\frac{2.70}{6} + \frac{2.52}{6} = \frac{15.52}{6}[/tex]  ≈  $2.59

SMA for days 5 - 10

= 2.59 - [tex]\frac{2.63}{6} + \frac{2.37}{6} = \frac{15.26}{6}[/tex]  ≈  $2.54

Hence the 6-day SMA for the ten consecutive trading day

= $2.63, $2.63, $2.62, $2.59, $2.54

If f(x) = 3x + 2, what is f(5)?​

Answers

Answer:

f(5) = 17

Step-by-step explanation:

plug in 5 in the x so 3(5)+2 =17

Answer:

17

Step-by-step explanation:

3(5) + 2 = 17

15 + 2 = 17

PQ is a straight line and RS is the perpendicular bisector of PQ.
Form two linear equations based on the diagram above. ​

Answers

2x + y = 90

2x +4y = 180

ezzzzzzz

Hector has $590 in his account. He earned $15 per hour for x hours. Jeremy has $545 in his account. He earned $20 per hour for x hours. They both worked the same number of hours and now have the same amount of money. What is the number of hours that each person worked? Write and solve an equation.

Answers

Answer:

equation = 590 + 15x = 545 + 20x

No. of hours worked = 9

Step-by-step explanation:

Given that both worked for same number of hours

and

Jeremy worked for for x hours

it meant that Hector also worked for x hours(it is also mentioned same in the problem)

now that we know the number of hours worked in form of x

lets find

total money in their account if they worked for x hours

___________________________________________

For Hector

Money in Hector's account = $590

Earning for Hector in 1 hour = $15

Earning for Hector in x hour = x*Earning for Hector in 1 hour = $15x

Total money in with Hector after x hours of work

 = Money in Hector's account + Earning for Hector in x hour = $590 + $15x

Similarly

For Jeremy

Money in Jeremys account = $545

Earning for Jeremy in 1 hour = $20

Earning for Jeremy in x hour = x*Earning for Jeremy in 1 hour = $20x

Total money in with Jeremy after x hours of work

 = Money in Jeremy's account + Earning for Jeremy in x hour = $545 + $20x

Given that they same amount of money

thus

$590 + $15x = $545 + $20x

$sign gets cancelled from both sides

590 + 15x = 545 + 20x  Thus, we got the required equation  

=> 590 - 545 = 20x - 15x

=> 45 = 5x

=> x = 45/5 = 9

Thus, both of them worked for 9 hours

D=(x2+x1)+(y2-y1) this is the formula I need number 19 Please will mark brainliest and 50 points

Answers

Answer:

[tex]2\sqrt{2}[/tex] or [tex]\sqrt{8}\\[/tex]

Step-by-step explanation:

The formula is actually d= [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex]. Now first, we have to find points A and C.

Point A is (1,2) and Point C is (-1,0).

Now we have to substitute the values in. That would make it d =[tex]\sqrt{(-1-1)^{2} + (0-2)^{2}}[/tex].

To simplify the parentheses, it would get to d= [tex]\sqrt{(-2)^{2}+(-2)^{2} }[/tex].

To simplify the exponents, it would get to d = [tex]\sqrt{4+4}[/tex].

To simplify the square root, it would get to d = [tex]\sqrt{8}[/tex].

So the answer is either [tex]2\sqrt{2}[/tex] or [tex]\sqrt{8}\\[/tex].

Hope this helped! If not, please let me know!

HELO ASAP CONVERT ALL OF THE FOLLOWING TO STANDARD NOTATIONS

Answers

Answer:

5. 78300000

6. 25000

7. 0.000008345

8. 0.003

Step-by-step explanation:

when the exponent is negative, the decimal moves to the left

when the exponent is positive, the decimal moves to the right

One pound of apples is $2. You have no more than $13 to spend on apples

Answers

Answer:

You are able to by 6 apples with $1.00 dollars remaining.

Step-by-step explanation:

I'm not sure what you were trying to ask because you didn't leave a question in the statement you provided

Answer:

You can buy 6 pounds of apples.

Step-by-step explanation:

13 is an odd number, so we find the closest even number that doesn't go over 13. That number is 12. Then, we take 12 and divide it by 2, since $2 is how much a pound of apples cost. 12 divided by 2 is 6. So, our answer is 6 pounds of apples.

Hope this helped you!

Which of the following situations can be modeled by the expression -8 + 35?

While Shawn was sleeping, the temperature decreased by 8°F. If the temperature was 35°F when Shawn went to bed, what was the temperature when Shawn woke up?

When Shawn woke up, the temperature was -8°F. By noon, the temperature had increased by 35°F. What was the temperature at noon?

None of the above.

When Shawn woke up, the temperature was -8°F. By noon, the temperature had increased to 35°F. By how much did the temperature change?

Answers

Answer:

The second one

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1

In a scatterplot what does the term outlier mean?

Answers

Answer:

An outlier is defined as a data point that emanates from a different model than do the rest of the data. ... If the outlier is omitted from the fitting process, then the resulting fit will be excellent almost everywhere (for all points except the outlying point).

An outlier for a scatter plot is the point or points that are farthest from the regression line. ... If a number of points are the same farthest distance from the regression line, then all these points are outliers. If all points of the scatter plot are the same distance from the regression line, then there is no outlier.

Step-by-step explanation:

Answer:

An outlier is defined as a data point that emanates from a different model than do the rest of the data. ... If the outlier is omitted from the fitting process, then the resulting fit will be excellent almost everywhere (for all points except the outlying point).

Step-by-step explanation:

Just copy the first part of the person above me or this one its the same but I put the first graph on and go it right. ;)

At Penny's Pie Shop, it costs $4 for 1/4 of a pie. What is the cost of a whole pie? Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

Answer:

$16

Step-by-step explanation:

Answer: its was he/she said which $16

Step-by-step explanation: there is none :)

Can someone help me answer a question anybody I need help ASP

Answers

Step-by-step explanation:

yes i ccsan help but i dont know what your question is

the answer is 2.66 (continuous sixes)

is this what the question is?

Divide these polynomials.

(9x^3 + 9x^2 + 5x + 1) / (3x + 1)

Answers

Answer:

3x^2+2x+1

Step-by-step explanation:

Divide 9x^3+9x^2+5x+1 by 3x+1

Easy.

Question 2
Identity the numbers that make the statement below tree
58=-= a postave number
A
B
6.3
c
500
D
5.9
E
-7.3
F
8.2
PLEASE HELP TIMED TEST!!!!!

Answers

Step-by-step explanation:

I am a math genis but the is hard

What is the result of solving this equation for x?

y−b=m(x−a)

Answers

Answer:
x=(y-b)/m

Explanation:
y-b=m(x-a)
Divide both sides by m
(y-b)/m=x-a
Add a to both sides
(y-b)/m+a=x
x=(y-b)/m

I hope this helps! Please comment if you have any questions.

what is 542.070 rounded to the NEAREST tenth

Answers

Answer:

542.1

Step-by-step explanation:

you round up since 7 is above 5

Answer:

542.1

Step-by-step explanation:

Find the number in the tenth place  0  and look one place to the right for the rounding digit  7 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .

Chari deposits $5,000 in a savings account earning 5.75% simple interest per year. Part A How much interest will Chari earn for a period of 10 years

Answers

Answer:

2,875

Step-by-step explanation:

$5000 • 5.75% ( or 0.0575 ) = $2,875

Which equation does not represent a function? Why? A) y = x2; There are two outputs for each input. B) y2 = 4x; There are two outputs for each input. C) y = x; The output value is the same as the input value. D) y = −x; The output value is the opposite of the input value.

Answers

Answer:

B) y² = 4x; There are two outputs for each input

Step-by-step explanation:

For an equation to be called a function, the input values for x must only result in a single output for y.

Based on this definition if a function, the functions y = x², y = -x and y = x are all functions because for any value of x imputed in them, we can only get one equivalent value of y.

The only exception is the function y²= 4x

For this function, for any value of x, there will be more than one output for y. Take x = 1 for example

y² = 4(1)

y² = 4

y = ±√4

y = ±2

This shows that y = 2 and -2

Also if x = 4

y² = 4(4)

y² = 16

y = ±√16

y = ±4

y = 4 and -4

No matter the value of x imputed, the output value y will always be two (a positive and a negative value)

Hence, option B is correct.

Answer:

B

Step-by-step explanation:

is 104.25 a rational or irrational number

Answers

Answer:

Rational

Step-by-step explanation:

Irrational numbers go on forever

The decimal number 104.25 is a rational number.

What is a rational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

The decimal number is given below.

⇒ 104.25

There are only two-digit after the decimal place which means the number gets terminated.

Then the decimal number 104.25 is a rational number.

More about the rational number link is given below.

https://brainly.com/question/9466779

#SPJ2

A=1/2h(B+b); A=45, B=4, b=5

Answers

Answer: h=10

Solving Steps:
45 = 1/2h x (4+5)
45 = 1/2h x 9
45 = 9/2h
10 = h
h = 10

which line has a constant of proportionality between y and x of 5

Answers

Answer:

tp

Step-by-step explanation:

The constant of proportionality between y and x of 5 for line A.

What is the slope of straight line?

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The lines in the graph are passing through origin.

It implies that the y-intercept for all the lines is zero.

The slope-intercept equation of the line can be written as,

y = mx + c

Here c is the y-intercept.

When c = 0, the equation becomes as y = mx.

It implies that the for lines passing through origin, the slope of the line becomes the proportionality constant.

Now, from the given graph the line A is shown to be passing through (5, 1).

Then, the slope is given as,

m = (5 - 0)/(1 - 0) = 5

Hence, the line A in the given graph has constant of proportionality as 5.

To know more about slope click on,

https://brainly.com/question/3605446

#SPJ5

Line $1$ represents the graph of $3x + 4y = -14$. Line $2$ passes through the point $(-5,7)$, and is perpendicular to line $1$. If line $2$ represents the graph of $y=mx +b$, then find $m+b$.

Answers

Answer:

15

Step-by-step explanation:

First, solve for Line 1

3x + 4y = -14

move the x to the right of the equation

4y = -3x - 14

divide the whole equation by 4

y = -3/4x - 14/4

Line 1 is y = -3/4x - 7/2

Then, solve for Line 2

Since Line 2 is perpendicular, change the sign of the slope of Line 1 and then get the reciprocal of that.

-3/4 to 3/4 to 4/3

4/3 is the slope of Line 2.

Now, we want to find what the b of the equation is, so we can plug in our x (-5) and our y (7) into the y=mx+b equation to find b. The 4/3 is the m or the slope.

y = mx + b

plug in the y, m, and x into the equation

7 = (4/3)(-5) + b

multiply the m and x together

7 = -20/3 + b

add 20/3 to both sides so it will cancel out on the right of the equation and be added to the 7 on the left of the equation

41/3 = b

So, m = 4/3 and b = 41/3

Add them together and you get 45/3 or 15.

I hope this helped!

Minute Math 10

Please help me.

Answers

Answer:

Step-by-step explanation:

1. False

2. True

3. False

4. 12/2, 8/8, 2^2

5. 0.375

6. Through the middle vertically

7. a

Question 4
2 pts
If a = -3, b = 2 and c = -4 find the value of the expression.
a2 +b²

Answers

Answer:

-2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

a2 + b²

a = -3

b = 2

c = -4

Step 2: Substitute and Evaluate

2(-3) + 2²

-6 + 4

-2

Answer:

1

Step-by-step explanation:

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