6x^2 – 13x + 6 = 2x^2 solve using quadratic formula

Answers

Answer 1

Answer:

[tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define equation

6x² - 13x + 6 = 2x²

Step 2: Rewrite in Standard Form

Subtract 2x² on both sides:                    4x² - 13x + 6 = 0

Step 3: Define

a = 4

b = -13

c = 6

Step 4: Solve for x/roots

Substitute:                              [tex]x=\frac{13\pm\sqrt{(-13)^2-4(4)(6)} }{2(4)}[/tex]Exponent:                               [tex]x=\frac{13\pm\sqrt{169-4(4)(6)} }{2(4)}[/tex]Multiply:                                  [tex]x=\frac{13\pm\sqrt{169-96} }{8}[/tex]Subtract:                                 [tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]

And we have our final answer!


Related Questions

Brennan studies the relationship shown in the table. Which expression describes a method Brennan could use to determine the y-value when x equals 7?

Answers

Answer:

What is the long Division rhyme to help you solve?

What is the long Division rhyme to help you solve?

Step-by-step explanation:

Given f(c)=6(1-x)what is the value of f(-8)

Answers

Answer:

54

Step-by-step explanation:

Given f(c)=6(1-x)what is the value of f(-8)

You plug the value in. f(-8)=6(1--8)

f(-8)=6(9)

=54

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What is the value of x in the equation One-third x minus two-thirds = negative 18? –56 –52 52 56 Need answer ASAP!!!! Being Timed

Answers

Answer:

Step-by-step explanation:

fhv

What is the sum of -1.4-(-0.5)=-1.4+0.5
Help me Please!!!!!!!!!!!!

Answers

Answer:

literally 0

Step-by-step explanation:

Cynthia’s mom gave her $20.00 to spend at her friend’s birthday party on Friday night. Write an inequality that represents the number of games, g, Cynthia can bowl to remain within her budget.

Answers

Answer:

will or will not

Step-by-step explanation:

The inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -

gx ≤ 20

What is the general equation of a Straight line inequality? What is inequality? What are strict and slack inequalities.

The general equation of a straight line is -

[y] > [m]x + [c]

[y] < [m]x + [c]

[y] ≥ [m]x + [c]

[y] ≤ [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Strict inequalities are those inequalities which use either > or < to compare expressions. Example : 2x + 4 > 5

Slack inequalities are those inequalities which use either or to compare expressions. Example : 2x + 4 ≥ 5

We have Cynthia’s mom who gave her $20.00 to spend at her friend’s birthday party on Friday night.

Assume that a single game costs $x. Then, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is-

gx ≤ 20

Therefore, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -

gx ≤ 20

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Are these congruent by SSS, SAS, AAS, ASA?

Answers

Sss
There is no congruent angles marked

Answer:

SSS

Step-by-step explanation:

no angel lines. :)

2x+7=3x+4
step by step

Answers

Answer:

3=x or x=3

Step-by-step explanation:

2x+7=3x+4

-2x+2x7=-2x+3x+4

7=x+4

7-4=x+4-4

3=x or x=3

first step is to subtract 3x on both sides of the equation since they both have an x attached to them.

we are left with -x + 7 = 4

then we will subtract 7 from both sides of the equation where we are left with

-x = -3

finally we divide -x on both sides which leaves us with x = 3 as our final answer

im really confused ​

Answers

Answer:

   C. 10.5

Step-by-step explanation:

2=3

3=4.5

4=6.0

5=7.5

6=9

7=10.5

Answer:

the answer is 10.5

Step-by-step explanation:

if you keep going with the relationship every 1 place value up is another 1.5 added so if you go to 7 you get 10.5

Find h(x) + h (x+2), giving-
your is single fraction
answer as fraction

Answers

Answer:

Step-by-step explanation:

hx(x+x+2)

h x (2x + 2)

H x 2 (x + 1)

2h x (x + 1) is the answer

Two forces of 19.8 pounds and 36.5 pounds act on a body with an angle of 61.4 degrees between them.

Choose the correct approximation for the magnitude of the resultant vector.

Answers

ANSWER:49.2

Based on your question Two forces of 19.8 pounds and 36.5 pounds act on a body with an angle of 61.4 degrees between them.

After setting up the vectors on the plane and doing the required math

The answer is 49.2 pounds

C. 49.2

correct on edge assignment

HELP ME ANSWER IT PLZ ASAP
6(6x−1)=5(5x+4)−2x

Answers

Answer:

2

Step-by-step explanation:

Calculate the slope between the points: (4, 5) and (7, 9)

Answers

Answer:

m=4/3

Step-by-step explanation:

the slope is equal to 4/3

The slope between the points: (4, 5) and (7, 9) is 4/3.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Points (4, 5) and (7, 9)

so, the slope is

slope = (9-5)/ (7-4)

slope = 4 /3

slope = 1.333

Hence, the slope is 4/3.

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4x+5+4x+5+4x+5+4x+5+4x+5 solve for x

Answers

Answer:

3

Step-by-step explanation:

4. Ian and his friends are renting a cabin
charges an initial fee plus a rate per night. The
relationship between the cost and the number of
nights is shown in the graph.

Answers

I’m so sorry for this 4 night graph 1.89

Let StartFraction cosine (2 x) Over cosine (x) + sine (x) EndFraction = 0 where 0° ≤ x ≤ 180°. What are the possible values for x?

a- 45 only
b- 135 only
c- 45 or 225
d- 135 or 315

*NEED HELP ASAP

Answers

Answer:

The correct option is;

a- 45° only

Step-by-step explanation:

The given equation can be presented as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = 0[/tex]

We have that cos(2·x) = cos²(x) - sin²(x)

Also, we have, by the difference of two squares, the following relation;

cos²(x) - sin²(x) = (cos(x) - sin(x))(cos(x) + sin(x))

Therefore, the given equation can be written as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = \dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} =0[/tex]

Crossing the common term, (cos(x) + sin(x)), in the numerator and the denominator, we have;

[tex]\dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} = cos(x) - sin(x) = 0[/tex]

From cos(x) - sin(x) = 0, we have;

Adding sin(x) to both sides of the equation

cos(x) - sin(x) + sin(x) = 0 + sin(x)

cos(x) = sin(x)

Therefore, the opposite leg and the adjacent leg of the right triangle formed with reference to the angle x are equal

∴ x = 90/2 = 45° only for 0° ≤ x ≤ 180°

Answer:

A. 45 only

Step-by-step explanation:

EDGE 2020

3(6a);for a=2

5d(4); for r = -3

(5r)(-2); for r = -3




Can someone help meh

Answers

Answer:

1.36

2.-60

3.30

hope this helps

For first if

A=2 then 6x2(3) = 36

For second if

R=(-3) then if d is the diameter then the answer will be 50

For third if

R=(-3) then 30 will be the answer please mark me as brainliest

Which is the sum of -4 and its additive inverse?

Answers

Answer:

-4 +4 =0

Step-by-step explanation:

The sum of a number and its' additive inverse is 0

The additive inverse of -4 is 4

-4 +4 =0

It also detects if you are right or wrong

Answers

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According to the table ;

[tex]f(0) = 6[/tex]

Let's check that in which of the equations it happens.

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A )

[tex]y = f(x) = 6x + 4[/tex]

[tex]f(0) = 6(0) + 4[/tex]

[tex]f(0) = 0 + 4[/tex]

[tex]f(0) = 4[/tex]

Wrong

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B )

[tex]y = f(x) = 4x + 6[/tex]

[tex]f(0) = 4(0) + 6[/tex]

[tex]f(0) = 0 + 6[/tex]

[tex]f(0) = 6[/tex]

Correct.

Thus this option is the correct answer.

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C )

[tex]y = f(x) = 2x + 4[/tex]

[tex]f(0) = 2(0) + 4[/tex]

[tex]f(0) = 0 + 4[/tex]

[tex]f(0) = 4[/tex]

Wrong

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what is the distance between the points with coordinates (-5,5) and (5,-5)? express your answer in simplest radical form

Answers

Answer:

10 spaces in each direction

Step-by-step explanation:

                     5

                      !

-5--------------------!-------------------5

                      !

                      !

                      5

what is 1395^2 plz help

Answers

1,946,025 would be the answer
all you do is multiply 1395x1395

Describe a strategy for finding the difference of two temperatures/Answer in complete sentences.


Hello this is my question if you answer correctly you will receive 30 points plus branliest please be mindful and help me solve this question ASP

Answers

Answer:

Use google scooby it's easier than this way.

Step-by-step explanation:

Adalyn is stocking up on cans of soup for the winter. They are on sale for $2.25 each and she has a $3 coupon. If she can spend no more than $30 on soup, how many cans can she buy? (She can't buy partial cans)

Answers

Answer:

14 I think

Step-by-step explanation:

Two brothers bought together 10 books. One brother bought four books. How
many books did the other brother buy? Create an equation and solve.

Answers

Answer:

The other brother bought 6

Step-by-step explanation:

10 books in total

4 books bought by one brother

10 - 4 = 6

Answer:

2b+4b=10b  the other brother bought 6 books.

Since we already know how many the other brother bought, we don't need to find that information.

Step-by-step explanation:

2b+4b=10b

combine like terms and subtract.

6b=10b

=4b

(hope this is correct.)

What is the value of the fallowing when x = 0

A. y = -5

B. y = -2

C. y = -1

D. y = 0

Answers

Answer:

B

Step-by-step explanation:

When x = 0 we are looking at the y- axis

The graph crosses the y- axis at y = - 2

Thus when x = 0 then y = - 2 → B

Which statements are true about the enlargement of triangle ABC to triangle A’B’C’? Check all that apply.

BC < B’C’
A’B’ < AB
B < B’
=
The scale factor for this dilation is less than 1.
C ≅ C’

Answers

Answer:

A, D, F

Step-by-step explanation:

Answer:

A

D

F

Step-by-step explanation:

I got it right on my assignment

kay is making a drink that needs 3 gallons of of juice , how many cups can she make of juice?

Answers

48 cups!! hope this helps!!

HELP ME ASAP!!!!!!!!!!!!!

Answers

Answer:256

Step-by-step explanation:

do [tex]2^{^{4\cdot \:2}}[/tex]

which equals [tex]2^{8}[/tex]

so your answer would be 256

mark me as brainliest pls :)

Answer:

where is the picture

Step-by-step explanation:

guys if I don't finish this imma get beat please help

Answers

Answer:

The answer is b.) hope this helps!!

Step-by-step explanation:

if you only look at H and H', you can see H' is being translated(slid) down the Y axis and since it is sliding down, it is -4, giving you (x, y-4)

Choose the correct Triangle Congruence Theorem

Answers

Answer:

ASA

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

The triangles have two congruent angles and one congruent side. This means they are congruent through the AAS theorem. The reason it is not the ASA theorem is that the side is not included, which means it is not in-between the congruent angles.

Sam bought an $85.00 for 40% of the regular price.How much did he pay for the jacket?

Answers

Answer:

he payed 34$ for the jacket

Step-by-step explanation:

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