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

Two students that are on the same longitudinal line are approximately 5400 miles apart. The used an inclinometer, a little geometry, and a tangent line to determine the that and . The two students form a central angle of 85.9º with the center of the earth. Given this information determine how far each student is away from the moon.

Answers

Answer:

MB= 239627

MA= 239327

Radius= 3963

Step-by-step explanation:

Need help FAST!!!! I need to find the value of x and y with work

Answers

Step-by-step explanation:

Step One: We need to find a way to equate either the x terms of the y terms in each equation. ...

Step Two: Take equation b) from equation a) to eliminate the x component. ...

Step Three: substitute the value of y into either equation to find the value of x.

Step-by-step explanation:

I think x equals 125. The reason is because a triangle is 180 and if you take 180 out of a 55 you will get a 125. The y will equal 55.

16 cm
20 cm
15 cm
20 cm
find the volume of the prism

Answers

Answer:

267.

Step-by-step explanation:

need help on this please

Answers

the answer to that question is 15.51
the answer would be 15.51

The current flow to a transformer's primary circuit measures 16 amps. The transsformer's secondary current measures 80 amps. What the transformer's turns ratio?

Answers

Answer:

1/5

Step-by-step explanation:

The transformer formula is as expressed as

Ns/Np= Ip/Is

Ns and Np are the number of turns in the secondary and primary coil respectively

is and Ip are the currents in the secondary and primary coil respectively

Given the following

Ip = 16A

Is = 80A

Substitute into the formula

Ns/Np = 16/80

Ns/Np = 1/5

Hence the transformer's turn ratio is 1/5

Answer: for pf, 1:5 is WRONG!

Step-by-step explanation:

1). To make suet you need fat to flour in the ratio 1:3. Jane has 120 g of flour.

Answers

Answer:

you need 40 g of fat

Step-by-step explanation:

:) hope this helps

Let the Universal Set , S, have 132 elements . A and B are subsets of S. Set A contains 63 elements and Set B contains 35 elements . If the total number of elements in either A or B is 89 , how many elements are in A but not in B?

Answers

Answer:

8 elements

Step-by-step explanation:

From the question given above, the following data were obtained:

Universal set (S) = 132

Set A = 63

Set B = 35

n(AuB)ᶜ = 89

n(A but not in B) =?

Next, we shall determine the number of elements common to both set A and Set B. This can be obtained as follow:

Let the number common to both set A and B be x i.e

(AnB) = x

nA = 63

nB = 35

n(AuB)ᶜ = 89

Universal set (S) = 132

S = nA + nB + n(AuB)ᶜ – (AnB)

132 = 63 + 35 + 89 – x

132 = 187 – x

Collect like terms

132 – 187 = – x

– 55 = – x

Divide both side by –1

x = –55 /–1

x = 55

Thus, the number of elements common to set A and B is 55.

Finally, we shall determine the number of elements in A but not in B as follow:

nA = 63

n(AnB) = 55

n(A but not in B) =?

n(A but not in B) = nA – n(AnB)

n(A but not in B) = 63 – 55

n(A but not in B) = 8

Thus, 8 elements are in set A but not in set B.

pls answer the question with explanation

Answers

Answer:

a) 96m

b) 2 m/s^2

Step-by-step explanation:

The distance travelled in a velocity time graph as shown in the image is the area of the shape. As such, considering the first 14 seconds, the distance covered will be computed by finding the area of the shape.

Note that the shape to be considered ends t the 14 seconds mark. This shape is a trapezium. The area of  a trapezium is given as

A = 1/2(a + b) h

where a and b are the parallel sides of the trapezium and h is the height As such, the distance covered in the first 14 seconds

= 1/2 (14 + 10) * 8

= 4 * 24

= 96m

The acceleration after 4 seconds

Acceleration is the rate of change of velocity with time, at time 0 second, the velocity is also 0 but at time 4 seconds, the velocity is 8 m/s hence, the acceleration after 4 seconds

= 8/4

= 2 m/s^2

What is 1 3/8 as an improper fraction ?

Answers

Answer: 11/8

Step-by-step explanation:

1. Multiply the whole number by the denominator: 8•1=8

2. Add the numerator to the sum of the whole number and denominator: 8+3=11

3. Put the original denominator as the denominator, again: 11/8

hope this helps a bit lol

In is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is five and a half percent of the selling price. The salesperson will earn $27.23 by selling a couch for $495 to Lin and her dad.

Answers

Answer:

A. $27.23

B. $467.77

Step-by-step explanation:

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

Salesperson commission = 5 1/2%

Price of couch = $495

A. Amount earned by the salesperson = 5 1/2% of $495

= 5.5% × 495

= 0.055 × 495

= 27.225

Approximately

Amount earned by the salesperson = $27.23

B.How much money will the store get from the sale of the couch?

Amount the store get = Total price - amount earned by salesperson

= $495 - $27.23

= $467.77

Nine randomly selected customers at a local fast-food restaurant ordered meals having the following calorie counts: 975,520, 1560
.872, 1029,534,362,954, and 1019. Let y denote the calorie content of a meal ordered at this restaurant. Find the following sum.

Answers

Answer: 7825 calories

Step-by-step explanation:

Feom the question, we are told that the meals have the following calories content meals having the following calorie counts: 975,520, 1560

.872, 1029,534,362,954, and 1019.

The sum of the calories will be:

= 975 + 520 +1560 + 872 + 1029 + 534 + 362 + 954 + 1019.

= 7825 calories

HURRY PLEASE ANSWER!

Answers

Answer:

[tex]\mathbf{\beta=140\ dB}[/tex]

Step-by-step explanation:

The Logarithm Function

The sound level is usually calculated as a logarithm by the formula:

[tex]\displaystyle \beta=10\log\frac{I}{I_o}[/tex]

Where

I   = Sound intensity in W/square meter

Io = Smallest sound intensity that can be heard.

[tex]I_o=1\cdot 10^{-12}\ W/m^2[/tex]

The blue whale can emit a sound of I=106.8 W/square meter, thus the sound level is:

[tex]\displaystyle \beta=10\log\frac{106.8}{1\cdot 10^{-12}}[/tex]

[tex]\displaystyle \beta=10*14[/tex]

[tex]\mathbf{\beta=140\ dB}[/tex]

what is the base price for the cell phone plan, regardless of how many minutes are included? What is the cost per minute? Explain

Answers

Answer:

how

Step-by-step explanation:

what about you

can someone smart help? ill give brainliest

Answers

Step-by-step explanation:

2400/100=24

24×10.5=252

252×5= 1260

Convert 0.6 to a fraction to a percent and show a example how​

Answers

Answer:

6/10   |    60%

Step-by-step explanation:

0.6 is the same as 6/10 because it is six-tenths.

6/10 is the percentage 60% because you can multiply the top and bottom by ten to get 100 on the bottom.

Joel ordered a set of beads. ​He received 40 40 beads, and 60 % 60% of them were blue and 40 % 40% of them are green. ​ ​How many blue beads did Joel receive?

Answers

Answer:

24 blue beads

Step-by-step explanation:

The number of blue beads is calculated as:

Percentage of blue beads × Total number of beads

Total number of beads = 40 beads

Hence:

= 60% × Total number of beads

= 60% × 40

= 60/100 × 40

= 24 blue beads

Joel received 24 blue beads.

Toshеlle wants to take strength training classes at the
community center. She has to pay a one-time enrollment fee of $25 to join the
community center, and then $45 for each class she wants to take. Write an
equation in slope-intercept form for the cost of taking x classes.

Answers

Answer:

I would say y=45x+25

I’m doing the same workbook page

(If this is wrong I’m sorry)

Hope this helps

Have a great day/night

If Aaron leaves 20% tip on a $36.55 bill, how much of a tip would they leave for the waiter?

Answers

The answer is 201.17

The number of calories burned y after x minutes of kayaking is represented by the linear function y=4.5x. The graph shows the calories burned by hiking.

Answers

There is no graph can you show one so I can help?

I can answer is ez probably

Answer:

22.5 more calories are burned

Hiking:

y=255

kayak

y=202.5

Triangle RST, with vertices R(-7,-8), S(-3,-7), and T(-6,-2), is drawn on the coordinate grid below. What is the area, in square units, of triangle RST?

Answers

Answer:

12

Step-by-step explanation:

Area of triangle formula is b*a (1/2)=A

b is height for non-right triangles

6*4(1/2)=A

24(1/2)=A

12=A

How to find a linear scale factor of two similar shapes joined together.

Answers

Answer:

7.5cm

Step-by-step explanation:

the method is shown above

Which answer includes the intrevals that contain the solution to the inequality x^2-1/3x+9<0

Answers

Answer:

x<±1 and x< -3

Step-by-step explanation:

Given the inequality x^2-1/3x+9<0, we are to find the values of x that satisfies the inequality

x^2-1/3x+9<0

x^2-1/3x+9 (3x+9)²<0*  (3x+9)²

(x^2-1)(3x+9) < 0

x²-1 < 0 and 3x + 9 <0

x²-1 < 0

x²<1

x<±√1

x<±1

Also 3x + 9 <0

3x < -9

x < -9/3

x < -3

Hence the required values of x are x<±1 and x< -3


Please someone help me if your good at math I’m struggling here:/I’ll mark brainliest


A.$4/1 lb

B.$8/2 lb

C.1 lb/$4

D.$1/4 lb

Answers

Answer:the until prince is 4/1

Step-by-step explanation:

The graph is proportional since it’s a straight line through origin and the rate is 4/1 on the bottom

Sorry if I’m wrong

Combine like terms to simplify the expression: {\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k} 5 2 ​ k− 5 3 ​ + 10 1 ​ kstart fraction, 2, divided by, 5, end fraction, k, minus, start fraction, 3, divided by, 5, end fraction, plus, start fraction, 1, divided by, 10, end fraction, k

Answers

Given:

The expression is

[tex]{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}[/tex]

To find:

The simplified form of given expression.

Solution:

We have,

[tex]{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}[/tex]

On combining like terms, we get

[tex]=\left(\dfrac{2}{5}k+\dfrac{1}{10}k\right)-\dfrac{3}{5}[/tex]

Taking LCM in the parenthesis, we get

[tex]=\left(\dfrac{4k+k}{10}\right)-\dfrac{3}{5}[/tex]

[tex]=\left(\dfrac{5k}{10}\right)-\dfrac{3}{5}[/tex]

[tex]=\dfrac{k}{2}-\dfrac{3}{5}[/tex]

Therefore, the simplified form of the given expression is [tex]\dfrac{k}{2}-\dfrac{3}{5}[/tex].

Answer:

k/2-3/5

Step-by-step explanation: Khan

Explain if the combination of iron and copper sulfate is an example of a chemical reaction

Answers

Answer:

Yes it is.

Step-by-step explanation:

When we mix Fe(iron) to CuSO⁴ (Copper sulphate), Iron removes copper from CuSO⁴ and makes FeSO⁴. This happens because iron is more reactive than copper. We cannot remove iron from this solution now until any stronger element is added.

Answer:

(a) Chemical reaction of iron nail with copper sulphate solution in water.Iron displaces copper ions from an aqueous solution of copper sulphate.It is a single displacement reaction of one metal by another metal.Iron is placed above copper in the activity series.

Describe the outlier boundaries for the data set.

34, 38, 41, 40, 36, 36, 38, 40

Any value less than
or greater than
is an outlier.

Answers

The outlier boundaries for the given data set is: any value that is less than 30 or greater than 46.

What is an Outlier?

An outlier in a data can be defined as any value that is less than Q1 - 1.5 × IQR or greater than Q3 + 1.5 × IQR.

Given the data, 34, 38, 41, 40, 36, 36, 38, 40, we have:

Q1 = 36

Q3 = 40

IQR = Q3 - Q1 = 40 - 36 = 4

Q1 - 1.5 × IQR = 36 - 1.5 × 4 = 30

Q3 + 1.5 × IQR = 40 + 1.5 × 4 = 46

Therefore, the outlier would be: any value that is less than 30 or greater than 46.

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HELP ME ILL MARK YOU BRAINLIEST .....
EXPLAIN YOUR ANSWER PLEASE AND HOW YOU GOT IT..THE STEPS

Answers

Answer:

1. m<rsv is 42 degrees

2.

Step-by-step explanation:

1.

2. Since abc is 95, the two angles you have to solve are going to equal 95 when added because they make up the angle ABC so solving it would be like

(2x+23)+(9x-5)=95 you then solve this which would be

2x+23+9x-5 = 95 - Combine like terms

11x+18=95 Subtract 18 both sides

11x=77 divide by 11

x=7

After this you just put 7 in the equations instead of X and solve it

making angles

What is the GCF of 6 and 36

Answers

Answer:

It's 6.

Step-by-step explanation:

6- 1, 2, 3, 6

36- 1, 2, 3, 4, 6

The greatest common factor of 6 and 36 is 6

Given data ,

Let the first number be represented as p

where the value of p = 6

Let the second number be represented as q

where the value of q = 36

To find the greatest common factor (GCF) of 6 and 36, we need to determine the largest positive integer that can divide both numbers evenly.

To begin, we can list the factors of each number:

Factors of 6 : 1 , 2 , 3 , 6

Factors of 36 : 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36

From the lists, we can see that both 6 and 36 share a common factor of 6. The GCF of 6 and 36 is therefore 6, as it is the largest number that can evenly divide both 6 and 36.

Hence , the greatest common factor is 6

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The extra data costs are $20.99 monthly but they're offering 20% off that. What will my monthly cost be with the 20% off?

Answers

Answer:

Discounted price= $16.792

Step-by-step explanation:

Giving the following information:

The extra data costs are $20.99 monthly, but they're offering 20% off that.

To calculate the discounted price, we need to use the following formula:

Discounted price= normal price*(1 - discount rate)

Discounted price= 20.99*0.8

Discounted price= $16.792

The octal numeral system is a base 8 positional system that uses the symbols 0,1,2,3,4,5,6,7. Write each base 8 number as a base 10 number. 12 and 117

Answers

Step-by-step explanation:

(12) in base 8

= (1 * 8¹ + 2 * 8⁰) in base 10

= (8 + 2) in base 10

= 10 in base 10.

(117) in base 8

= (1 * 8² + 1 * 8¹ + 7 * 8⁰) in base 10

= (64 + 8 + 7) in base 10

= 79 in base 10.

Using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.

What is octal numeral system?

Octal numeral system has "a base of 8 and uses the number from 0 to 7".

According to the question,

a) (12)₈

          = (1 * 8¹ + 2 * 8⁰)₁₀

          = (8 + 2)₁₀

          = 10₁₀.

b) (117)₈

        = (1 * 8² + 1 * 8¹ + 7 * 8⁰)₁₀

        = (64 + 8 + 7)₁₀

        = (79)₁₀

Hence, using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.

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