solve 2x²-3x-7=0 using completing the square method​

Answers

Answer 1

Answer:

Use the formula ( b 2 ) 2 in order to create a new term.

Solve for x by using this term to complete the square.

Exact Form: x = ± √ 65 4 + 3 4

Decimal Form: x = 2.76556443 … , − 1.26556443 …


Related Questions

Pineview Middle School has 158 fewer students enrolled than Wellington Middle School. If Pineview Middle has 1039 students enrolled, how many students are enrolled at Wellington Middle?

Answers

1039 + 158 = 1197 students

VOTING BRAINLIEST

The table shows a relationship between x and y.

Which statement is supported by the rate of change for this relationship?

A. The value of y increases by 14.50 when the value of x increases by 1.

B. The value of y increases by 43.50 when the value of x increases by 8.

C. The value of y increases by 21.75 when the value of x increases by 3.

D. The value of y increases by 7.25 when the value of x increases by 2.

Answers

Answer:

A

Step-by-step explanation:

i used a calculator

I think it would be- D?

What formula would you write for this line?

Answers

Answer:

i was able to get y = 1.3x - 2

y=1.3x -2 is the answer

The distance around a closed shape can be expressed as 3 times the length of side s or 3s draw an example of this geometric shape (what shape do I draw)

Answers

Greetings, Greetings it is a true pleasure to be a part of this app and i have concluded that the process of the independent process was very intriguing the answer is 14 and i really do intend on being a nice volunteers on this app your welcome and have a nice day

Which of the following is the equation of the line shown graphed below?

Answers

Answer:

Is the 4

Step-by-step explanation:

Which of the following fractions makes the number sentence true?
2/7 * _ = 2/7

A. 2/5

B. 5/2

C. 5/5

D. 4/4

Answers

C hope this works well

Please help me I need ASAP

Answers

Answer:

(3)

Step-by-step explanation:

Dividing both sides by Pt, we get option (3).

The same cold front hit Harhord, Connecticut the next morning. The temperature dropped by 5 degrees each hour from 5:00 a.M. To 9:00 a.M. What was the beginning temperature at 5:00 a.M. If the temperature at 9:00 a.M. Was -12F ?

Answers

Answer:

This doesn't make sense

Step-by-step explanation:

This doesn't make sense please emphasize

Please help with this math qs!!

Answers

Step-by-step explanation:

Find the radius: 6 ÷ 2 = 3m

Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m

Area = pi x 3cm x 3cm = 28.27m2

Given:

Diameter of circle = 6 m

The value of pi = 3.14

To be calculated:

Calculate the circumference and area of given triangle.

Formula applied:

Circumference of circle = 2πr

Area of circle = πr²

Solution:

Radius,r = diameter/2 => 6/2 = 3 m

( i ) As we know that formula of circumference,

Circumference of circle = 2πr

[tex] \bf \: \star \: putting \: the \: values[/tex]

[tex] \implies \: 2 \times 3.14 \times 3[/tex]

[tex] \implies \: 6.28 \times 3[/tex]

[tex] \implies \: 18.84 \: m[/tex]

(ii) As we know,

Area of circle = πr²

[tex] \bf \star \: putting \: the \: values[/tex]

[tex] \implies \: 3.14 \times {(3)}^{2} [/tex]

[tex] \implies \: 3.14 \times 9[/tex]

[tex] \implies \: 28.26 \: m {}^{2} [/tex]

What polygon is formed by
joining the points
(1, -1), (4, -1), (-1, -3),
and (7, -3)?

Answers

Answer:

Its a trapezoid

Step-by-step explanation:

Also you don't have to ask this on brainly

go to desmos its a free graphing calculator

Please mark me brainliest I'm doing a challenge  

Only number 14 and pls explain txs

Answers

Step-by-step explanation:

since right angle triangle,then:

180-(90+35)=B=55

use cosB=opposite/hypotenuse

cos55=x/12

x=cos55x12

x=6.88

9514 1404 393

Answer:

  9.8

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship involving the adjacent side and the hypotenuse:

  Cos = Adjacent/Hypotenuse

  cos(35°) = x/12

Multiplying by 12 gives x:

  x = 12·cos(35°) = 12×0.81215

  x = 9.8

In a gram panchayat election, candidate A
won with 220 votes where the number of
voters was 1,000. In another such election,
candidate B won with 300 votes where
the number of voters was 1,300. Who won
with the greater majority?

Answers

Candidate B as 300/1300 x 100 is 23.0769% and Candidate A got 220/1000 x100 which is 22%.

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASE

Answers

Answer and Step-by-step explanation:(MAKE ME BRAINLIEST)

Plz some answer this question, i posted this question 1000times plz answer, thank you so much, plz show all the working GOD BLESS YOU

Answers

Answer:

610.9 km

Step-by-step explanation:

For the plane that is flying at 520km/h:

520km/h * 45minutes * 1h/60minutes = 390 km

For the plane that is flying at 480km/h:

480km/h * 45minutes * 1h/60minutes= 360 km

This is a SAS triangle which means Side angle Side

the formula for this is: a^2 = b^2 + c^2 − 2bc cosA

for this problem it should be:

a^2= (390^2) +(360^2) - 2(390*360)*cos(115)

a should be approximately 610.9 km

i’m struggling help please

Answers

Answer:

Step-by-step explanation:

the slope would be y2-y1/x2-x1

so the distance is y and the time is x so what you are going to do is 30-18 over 5-3 which then means it would be 12/2 which equals 6

If x and y are positive real numbers, which expression is equivalent to the expression below?
[tex](125x {4}y^{ \frac{3}{2} })^{ \frac{1}{3} } \div (xy)^{ \frac{1}{2} } [/tex]

Answers

5x^5/6

Step-by-step explanation:

Evaluate each expression if m=2, n=16, and p = (Examples 1-6)
1. m + 10
2. n-4
3. min
4. 6m - 1
5. 3p
6. 12p
12m - 4
8. 9p to the 2nd power

Answers

Answer:

1. 12  2. 12  3.1/8    4. 11  5. -15   6.-60   7.20  8.225

Step-by-step explanation:

Given that :

m=2 and n=16 , p = {1-6 =-5}  then;

1.  m+10 = 2+10 = 12

2. n-4 = 16-4 = 12

3. m / n = 2/16 = 1/8

4. 6m - 1 = 6*2 - 1 = 12 -1 = 11

5. 3p =3* -5 = -15

6.12 p = 12* -5 = -60

7. 12m-4 = 12*2 - 4 = 24 -4 =20

8. 9p² = 9*-5² = 9 * 25 = 225

Find a pair of numbers that have a sum of −3 and a difference of −7.

Answers

Answer:

x = -5 and y = 2

Step-by-step explanation:

You want to start by writing these two equations:

x + y = -3

and

x - y = -7

Then, you want to add the solutions to these two equations, like so:

-3 + -7 = -10

Then, to find the x value, because x > y, divide the answer by two:

-10/2 = -5

So, the x value is -5.

With this information, you can figure out that the y value is 2.

Check the answer:

-5 + 2 = -3

-5 - 2 = -7

Hope this helped

PLSSSSS HELP ME!!! 80 Points!!
What is the apparent solution to the system of equations?
y = -2 +2
y=40 +7
Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the point tool.

Answers

Answer:

y=−x+2y=4x+7   NO

y=−x+2               YES

y=4x+7            

Multiply the first equation by 4, obtaining:              4y = -4x + 8

Add the 2nd equation to this result:                          y = 4x  + 7

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

                                                                                5y = 15, and y = 3

Then, using the first equation, determine x:

y = 3 = -x + 2

      1 = -x, so x = -1

The solution is (-1, 3)

Answer: (-1; 3)

Step-by-step explanation:

y = -x + 2

y = 4x + 7

4x + 7 = -x + 2

4x + 7 + x - 7 = - x + 2 + x - 7

5x = - 5

x = - 1

y = 4(-1) + 7

y = 3

Intersection point: (-1; 3)

See the solution on the photo

Simplified to create an equivalent expression

(2+2w)•4+9(w+3)=

Answers

Answer:

17 w  +  35

Step-by-step explanation:

You get this answer by using PEMDAS.

I need help with this ​

Answers

Answer:

Here is the summary of true statements:

A) The statement of the function modeled is (0, 3) is TRUE.

D) the equation for the line function is y = 2x+3 is TRUE.

E) the given table represents the linear function is TRUE

Step-by-step explanation:

Given the table

x   1      3      5      7

y   5      9      13     17

E)

It is clear that there is a CONSTANT CHANGE in the x and y values of the graph.

THE CONSTANT CHANGE IN X VALUES

i.e. 3-1=2, 5-3=2, 7-5=2

THE CONSTANT CHANGE IN Y VALUES

i.e. 9-5 = 4, 13 - 9 = 4, 17 - 13 = 4

Thus, the given table represents the linear function is TRUE

B)

It is clear that the value of y increase as the value of x increases.

Thus, the statement ''the value of y decreases as the value of x increases'' is FALSE!

D)

We know that the slop-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept.

Determining the equation

Taking two points

(1, 5)

(3, 9)

Finding the slope between (1, 5) and (3, 9)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [9 - 5] / [3 - 1]

               = 4 / 2  

               = 2

Thus, the slope of the line = m = 2

now substituting m = 2 and the point (1, 5) to determine the y-intercept

y = mx+b

5 = 2(1) + b

b = 5-2

b = 3

Thus, the value of y-intercept b = 3

substituting b = 3 and m = 2 in the slope-intercept form

y = mx+b

y = 2x+3

Therefore, the equation for the line function is y = 2x+3 is TRUE

A)

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

We already know that the y-intercept b = 3

It means the y-intercept modeled is (0, 3)

Therefore, the statement of the function modeled is (0, 3) is TRUE.

C)

We have already got the equation

y = 2x+3

substituting x = 8

y = 2(8)+3

y = 10+3

y = 13

so at x = 8, the value of y = 13

Therefore, the statement that the ''On a graph of the function when x = 8, the value of y will be 2'' is FALSE!

Conclusion:

Here is the summary of true statements:

A) The statement of the function modeled is (0, 3) is TRUE.

D) the equation for the line function is y = 2x+3 is TRUE.

E) the given table represents the linear function is TRUE

Domain and Range NAME: MR. Q State the domain and range for each graph and then tell if the graph is a function (write yes or no). 1) Domain 2) Domain 3Doman Range Range Range Function? Function? Function?​

Answers

Answer:

1) Domain = -3 ≤ x ≤ 2

Range = -4 ≤ y ≤ 5

Function? No

Step-by-step explanation:

From the given graph, we have;

The domain of the dot plot = -3 ≤ x ≤ 2

The range of the dot plot = -4 ≤ y ≤ 5

From the given data plot, we have that a straight line joining the data points is in the form of an arrow head with one value of the input (independent) variable, 'x', giving two values of the output (dependent) variable, 'y', such as the input, x = 1, gives two output, y = -2, and y = 3

Therefore, the relation is not a function as one input value produces two output values.

please help me it's in like 10 minutes..................

Answers

Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

1. Solve the equation for x.
-3 (x+ 4) = 12

Answers

Answer:

x = -8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

i had that on my test before

Write an algebraic expression for s decreased by nine

Answers

Answer:s-9

Step-by-step explanation: Decreased means subtract . and you are subtracting s from 9.

Hope it helps

Find the volume of the figure. Round to nearest hundredth. *

Answers

Answer:

6 mi

Step-by-step explanation:

I think so it 6mi I need help

!Plsss help mee!! I will give u BRAINLYEST!!

What radius length would
make a circle with an
area of 78.5 in.2?

A. R=3 in
B. R=5in
C. R=10in
D. R=25in

Answers

Answer:

r≈5

the answer is b

AB is parallel to CD
Find the value of X
Find the value of Y

Answers

Answer:

∠y° = ∠69°

∠x = ∠69°

Step-by-step explanation:

1) The question relates to parallel line theorem

The given parameters are;

AB is parallel to CD

∠111° and ∠y° are consecutive interior angles

∠69° and ∠x° are alternate interior angles

When two parallel lines are crossed by a common transversal, the consecutive interior angles are supplementary (sum up to 180°), and the alternate interior angles are equal

Therefore, we have;

∠111° + ∠y° = 180°

∠y° = 180° - ∠111° = ∠69°

∠y° = ∠69°

2) For the alternate interior angles, ∠69° and ∠x°, we have;

Alternate angles are equal, therefore ∠x = ∠69°

The student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405
What is DjDan's hourly rate?

Answers

Answer:

$80

Step-by-step explanation:

DJ Dan's hourly rate will be $80.

What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is the student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405.

Assume that the hourly rate is $[x]. Than, we can write -

3.5x + 125 = 405

3.5x = 405 - 125

3.5x = 280

x = (280/3.5)

x = 80

Therefore, DJ Dan's hourly rate will be $80.

To solve more questions on equations, expressions and polynomials, visit the link below -

https://brainly.com/question/17421223

#SPJ2

5/7 + 2/3

Plz Answer

Answers

Answer:

29/21

Step-by-step explanation:

5/7 = 15/21

2/3 = 14/21

Answer:

1.38 or  1 and 1/7

Step-by-step explanation:

5/7 + 2/3

10/21 + 14/21= 24/21

then your have to divide 24 by 21 = 1 and 3/21

then simplify 1 1/7

does this help?

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