Solve the following equations by using the Quadratic formula and answer the subsequent questions:

x^2 - 6x + 9 = 0

a. Are the roots equal or unequal?
b. Are the roots rational or irrational?
c. Are the roots real or non-real?

(Please explain how you got the answers)​

Answers

Answer 1

Answer:

Step-by-step explanation:

Note that x^2 - 6x + 9 = 0 can be rewritten as the square of a binomial:

(x - 3)^2

and the roots are found by setting this equal to zero and solving for x:

(x - 3)^2 = 0, or x - 3 = ±0, or x = 3 and x = 3

a) there are two equal roots:  {3, 3}

b) the roots {3, 3} are rational

c) the roots {3, 3) are real

If you want to use the quadratic formula, proceed as follows:

1.  Identify the coefficients of the quadratic:  {1, -6, 9}

2. Find the discriminant b^2 - 4ac:  It is (-6)^2 - 4(1)(9) = 36 = 36 = 0

   As a general rule, if the discriminant is zero, the quadratic has two equal, real roots.  These roots are rational:  3 can be rewritten as 3/1, which is a ratio.


Related Questions

This week at the farmer's market the price of oranges per pound has decreased by 20% compared to last week. If the price of oranges this week is $3.89, which equation would represent the price of oranges per pound last week, p?

Answers

Answer:

$4.8625

Step-by-step explanation:

$3.89 + 20%

$3.89 = 80%

$3.89 × ¼ = $0.9725

$0.9725 × 5 = $4.8625

what number is 6% of 850?

Answers

Answer:

51 is 6% of 850

Step-by-step explanation:

0.06*850

6 is 4% of what
number?

Answers

Answer:

150

Step-by-step explanation:

since 4 percent would have to be multiplied by 25 to get 100 you have to multiply 6 by 25. This comes out to 150. You can even check this by doing 150 times 0.04 which is 6 so we are correct!

Solve for the polynomial 2X +4 =8

Answers

First u want to subtract 4 from both sides and do 8-4 so u get 2x=4 and then u divide by 2 on both sides and get x=2.
Hoped this helped.

❤️ Hi

✔️The answer is attached

Byeee.....

PQRS is a parallelogram. Solve for x.
Plz help

Answers

Answer:  

The opposite sides of a parallelogram are congruent, then

19x - 9 = 13x + 15 ( subtract 13x from both sides )

6x - 9 = 15 ( add 9 to both sides )

6x = 24 ( divide both sides by 6 )

x = 4

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

Consecutive angles are supplementary, sum to 180° , that is

10y - 37 + 4y + 7 = 180

14y - 30 = 180 ( add 30 to both sides )

14y = 210 ( divide both sides by 14 )

y = 15

Then

∠ R = 10y - 37 = 10(15) - 37 = 150 - 37 = 113°

Then

∠ P = 113° ( opposite angles are congruent )

Step-by-step explanation:

hi please help i’ll give brainliest please

Answers

Answer:

it should be all of them besides the last one because 3 is greater than 2

and 2 because it is equal

Step-by-step explanation:


Write the first 6 terms of the sequence.

an= -n2+6

Please show work

Answers

For the term number which is “n” you substitute for example to find the first term you would do

(-1)(2)+6= 4

For term two replace “n” with 2

(-2)(2)+6= 2

Then you would continue for the rest of the terms

Answer:

Step-by-step explanation:

[tex]a_{n}=-n^2+6\\a_{1}=-1^2+6=5\\a_{2}=-2^2+6=2\\a_{3}=-3^2+6=-3\\a_{4}=-4^2+6=-10\\a_{5}=-5^2+6=-25+6=-19\\a_{6}=-6^2+6=-36+6=-30[/tex]

Round 188,206 to the nearest thousand

Answers

189,000 I think because the 8 is above 5 if the number was below 5 it would be 188,000

Please help me!
----------------------------

Answers

Answer:

It should be D because you start off with the X coordinate then y

what is 3 3/4 dived by 2 5/8

Answers

Answer:

[tex]1 \frac{36}{84} [/tex]

simplified :

[tex]1 \frac{3}{7} [/tex]

Step-by-step explanation:

first, we turn them into improper fractions

[tex]3 \frac{ + 3}{ \times 4} \div 2 \frac{ + 5}{ \times 8} [/tex]

First, we multiply 3×4=12+3=15 the demoninator will remain the same.

2×8=16+5=21, denominator remains the same.

[tex] \frac{15}{4} \div \frac{21}{8} [/tex]

when it comes to division with fractions, you flip the right(direction)fraction then multiply.

[tex] \frac{15}{4} \times \frac{8}{21} [/tex]

15×8=120

4×21=84

[tex] \frac{120}{84} [/tex]

then turn in back into a mixed fraction.

[tex]1 \frac{36}{84} [/tex]

demoninator remains the same, how many times 84 goes into 120, which is once(whole number) and how many is left over (numberator)

9c+(15-t)= ayudaaaaaaaaa ​

Answers

Answer:

baka

Step-by-step explanation:

Answer:

[tex]9c + 15 - t[/tex]

Step-by-step explanation:

1) you only have to Remove parentheses.

[tex]9c + 15 - t[/tex]

Therefor, the answer is 9c + 15 - t.

Name the marked angle in 2 different ways.

Answers

Answer:

acute is one of the i hope this helps

Please just give me the answer to this question, I’m so lazy haha the Pablo one thank you!

Answers

Answer:

I would say its 640 seconds sorry if I'm wrong

Lisa works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this

week. Lisa sold a total of 110 CDs over the two weeks. Find the number of CDs she sold last week and the

number of CDs she sold this week.

Answers

Answer:

This week sales = 26

Last week sales = 84

Step-by-step explanation:

Let this week sales = x

Sales last week = 6 + 3x

Sales last week + this week = 110

x + (6 + 3x) = 110

x + 6 + 3x = 110

6 + 4x = 110

4x = 110 - 6

4x = 104

x = 26

This week sales = 26

Last week sales = 6 + 3(26) = 84

Josiah had 128 toy cars. If he organizes them into groups of 7 , how many cars will be in the final group?

Answers

Answer:

2

Step-by-step explanation:

128divided by 7 = 126

After tax and tip,the bill totaled $63.00. What was each persons share? Show your work

Answers

How many people we’re dining together?

Can someone help me find this

Answers

Answer:

it should be 90 degrees

Step-by-step explanation:

...........................

Pls help me find the area in this pic!

Answers

105 squared meters is the answer.

A baker needs 40 fluid ounces of milk for a chocolate cake recipe and 64 fluid ounces of milk for a carrot cake recipe. How many cups of milk does the baker need for the carrot cake and the chocolate cake recipes combined?

Answers

Answer:

104 ounces

Step-by-step explanation:

40+64= 104

.......

the baker needs 13 cups of milk

Factor each expression below.
a. 16x − 4 =
b. −10x 5x2 =
c. 30y − 24x =

Answers

A) Answer:

4 (4x - 1)

B) Answer:

-5x ( 2 + x )

C) Answer:

6 (5y - 4x)

hope it helped.


Please help me with this !

Answers

Answer:

a. 4 (or maybe like 3.5)

b. 6

Step-by-step explanation:

a. Going from x = 0 to x = 8, it is obvious that y goes down 4 or 4.5 units during this stretch. This gives an approximate slope of -3/8. With this in mind, it can be easily calculated that going the remaining distance from x = 8 to x = 10, the value of y will be approximately 4 or so.

b. A dot literally is right next to (6, 6).

Select all the expressions that are equivalent to
1/2(2).

Z+Z

Z/2

Z/Z

1/4 (z)+1/4 (z)

2(z)

Answers

Answer:

Step-by-step explanation:

An ellipse is defined as the locus of all points,the sum of whose from two given points is constant. Here z is a complex number whose distance from (1,0) and (−1,0) is constant. Hence the locus of z is an ellipse in the complex plane. Hence z will be all those points which lies on the ellipse with focus (−1,0) and (1,0).

HELP NOW WILL GIVE POINTS TO IF HELPED, If the JellyBelly factory had a bagging machine that loaded 1000 jelly beans into a bag that is allowed a 0.5% error range amount. What is the range of jelly beans [x] that could be in the bag, without it being rejected? : x ,

Answers

Answer:

just search up Mathaway in your browser you will get your answer and a step by step explanation!

Step-by-step explanation:

Solve the system of equations

2x+3y= 6
x+y=4

(6,-2)
(-2,6)
(-3, 4)
(0, 2)

Answers

Answer:

Step-by-step explanation:

2x+3y= 6     ========================>>>           2x +  3y = 6

x+y=4    =====   times both sides by 2  =====>>>    2x + 2y = 8

             ==== subtract these two equations ==>>  (2x - 2x) + (3y - 2y) = 6 - 8

                                                                                       0x     +      y       =   -2

        y = -2     so if  x + y = 4             plug in -2 where y was

                             x + (-2) = 4              add 2 to both sides

                                    x   =  6

(6,-2)

(-2,6)

(-3, 4)

(0, 2)

Please help me! Anything is appreciated!

Answers

Answer:

it wont let me download the pdf :/

PLEASE HELP I HAVE 30 MINUTES UNTIL CLASS ENDS PLEASE HELP

Answers

Answer:

12 stamps

Step-by-step explanation:

6 divided by 0.50 = 12

Answer: it’s 12

Step-by-step explanation: all I did was multiplied 6 by .50

Hope this helps!

Solve for x
2^x= 0.0625(X is an integer)

Answers

Answer:

there you go:)

..................

Answer=x=-4

This question is to do with logs and indices

2^x =0.0625

we know that 2³=8
And log2(8) = 3

*using this form we can solve for x*

2³=8
2^x =0.0625

log?(?) = ?

Both indices have a base of 2 so the log2 stays the same

Instead of 8 we put the 0.0625 in the bracket

So we get
log2(0.0625) = ?
Put this in your calculator and you should get

log2(0.0625) = -4

Which is NOT true about the transformation below?

A. The orientation of the figure stayed the same.
B. The transformation is a reflection.
C. The two figures are congruent.
D. The pre-image is in Quadrant I.

Answers

Answer:

D IS THE ANSWER

Step-by-step explanation:

I THINK ITS B

Answer:

B

Step-by-step explanation:

You play a video game for 5 minutes. You lose 15 points. What integer represents the average change in points per minute?
sho your work

Answers

Answer:

-3 points per minute

Step-by-step explanation:

if you got -15 points in 5 minutes, divide  both by 5 to get -3 points per minute

Is 1/7 an irrational number?

Answers

Answer:

Yes

Step-by-step explanation:

1/7 = 0. 142857, where the bar over 142857 indicates a pattern that repeats forever. A real number that cannot be expressed as a quotient of two integers is known as an irrational number.

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