If using the method of completing the square to solve the quadratic equation
x2 – 9x + 38 0, which number would have to be added to "complete the
square"?
=

If Using The Method Of Completing The Square To Solve The Quadratic Equationx2 9x + 38 0, Which Number

Answers

Answer 1

Answer:

81/4

Step-by-step explanation:

Given the equation x^2 – 9x + 38 = 0

Subtract 38 from both sides

x^2 – 9x + 38 - 38= 0 - 38

x^2 - 9x = -38

Next is to complete the square, to do this  we will add the square of the half of coefficient of x to both sides as shown;

Coefficient of x is - 9

Half of -9 will be (-9/2)

Squaring the result will give (-9/2)² = 81/4

Hence the number that would have to be added to "complete the

square" is 81/4 to have;

x^2 - 9x + 81/4= -38 + 81/4

(x-9/2)² = -38 + 81/4

Hence the required value is 81/4


Related Questions

Order of Operations with and without variables

Answers

I think the answer is -4

Use place value multiplication with powers of 10 or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and the dividend before dividing

Answers

Answer:

436.8 x 100 / 62.08 x 100 = 43680/6208

Step-by-step explanation:

When you write the problem as a fraction, multiply the numerator and denominator by 100.  Multiplying each by 100 resulted in both numbers being whole numbers. 436.8/62.08 is the same as 43,680/6,208.

Can someone please help me with this question i have 3 minutes left

Answers

Answer:

It will cost 11 cents a day.

Step-by-step explanation:

1.98/18=11

plzz have brainiest

whats up wate is 3000+39645

Answers

Answer:

MARK ME BRAINLIEST BRO!!!!!!!!

Step-by-step explanation:

how can i solve -4.6x = -11.04

Answers

Answer:

The last one

Step-by-step explanation:

Answer:

D, Divide both sides by -4.6

Step-by-step explanation:

You want to get the x and the regular integers on separate sides of the equals sign, so you divide the -4.6 to get the x on its own side of the equals sign. That's the first step to solving the equation.

P (3,-8) Q (-2,5)

Use the distance formula to find the exact distance

Answers

Answer:

answer is 1-8(87)

Step-by-step explanation:

Which phrase best completes the list?

Types of Expenses - Taxes

Apply to money earned and spent

Usually take up about 14 percent of a person's income

?

A. Are paid to the government
B. Allow a person to buy a home
C. Pay for vital services like water
D. Do not need to be paid every year

Answers

Answer:a

Step-by-step explanation:

The solution is, O A. Are paid to the government, the phrase best completes the list. Types of Expenses.

Here, we have,

Explanation:

Utilities are expenses on essential and vital services common to households and businesses. They include water and sewage bills, electricity bills, and garbage disposal expenses. A firm offering such services generate utility bills. The cost covers a regular period, say mostly monthly.

Heating and internet or data costs are also being considered as utility expenses. They are common and essential for domestic and business use.

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Write the number below in expanded notation 75,966

Answers

7.596 to the 4th power

3x + 1 = 3(x - 1) + 4​

Answers

Simplifying

3x + 1 = 3[x + -1] + 4

Reorder the terms:

1 + 3x = 3[x + -1] + 4

Reorder the terms:

1 + 3x = 3[-1 + x] + 4

1 + 3x = [-1 * 3 + x * 3] + 4

1 + 3x = [-3 + 3x] + 4

Reorder the terms:

1 + 3x = -3 + 4 + 3x

Combine like terms: -3 + 4 = 1

1 + 3x = 1 + 3x

Add '-1' to each side of the equation.

1 + -1 + 3x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0

0 + 3x = 1 + -1 + 3x

3x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0

3x = 0 + 3x

3x = 3x

Add '-3x' to each side of the equation.

3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 0

This equation is an identity, all real numbers are solutions.

Explain what needs to be fixed.
2n + 10 = -2
2n = 12 Step one
n = 6 Step two

Answers

Answer:

step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.

Step-by-step explanation:

STEP 1: Move all terms not containing n to the right side of the equation.

[tex]2n=-12[/tex]

STEP 2: Divide each term by 2 and simplify.

[tex]n=-6[/tex]

Complete each of the diamond problems below

Answers

A . left miss diamond -6x1 = -6
Bottom missing diamond -6+1=-5

B. Right missing diamond -5+3= -2
Top missing diamond 3x-2= -6

C. Right missing diamond 11.2-1.2= 10
Top missing diamond 1.2x10= 12

D left missing diamond 6
Right missing diamond 4

A glacier in Alaska moves about 29.9 meters a day. How much farther will it move in 1,000 days than in 100 days?|

Answers

The answer is 26,910 meters

Answer:

(1000x29.9)-(100x29.9)=29900-2990=26910

26910

Step-by-step explanation:

A sample of 2,500 people was asked how many cups of coffee they drink in the morning. You are given the following sample information. Cups of Coffee Frequency 0 700 1 900 2 600 3 300 2,500 Refer to Exhibit 5-7. The variance of the number of cups of coffee is _____.

Answers

Answer: V(X) = 0.96

Step-by-step explanation: Variance is defined as the average of the squared difference from the sample or population mean.

For a discrete frequency distribution is calculated following the steps:

1) Determine expected value or mean:

[tex]E(X)=\frac{\Sigma xf}{\Sigma f}[/tex]

[tex]E(X)=\frac{0(700)+1(900)+2(600)+3(300)}{2500}[/tex]

E(X) = 1.2

2) Multiply frequency and the squared difference of x and expected value:

[tex]f(x-E(X))^{2}[/tex]

[tex]700(0-1.2)^{2}=1008\\900(1-1.2)^{2} = 36\\600(2-1.2)^{2} = 384\\300(3-1.2)^{2} = 972[/tex]

3) Add them:

[tex]\Sigma [f(x-E(X))^{2}][/tex] = 1008 + 36 + 384 + 972 = 2400

4) Divide the sum per frequency total:

[tex]V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}[/tex]

[tex]V(X)=\frac{2400}{2500}[/tex]

V(X) = 0.96

The variance of the number of cups of coffee is 0.96.

7•7•7•7+1+1 exponent

Answers

wdym- i don’t get the question...

Answer:

The right answer is 2,403

Step-by-step explanation:

Which value(s) below ma 6.05x - 12.5 = 48 Show all of your work. Ju box below. HELP ME PLEASE


Explain:


Answer ​

Answers

Answer:

I got you

Step-by-step explanation:

6.05-12.50=13.55

48 divided by 13.55=3.542

x=3.542

Answer:

X= 1

Step-by-step explanation:

6.05x-12.5=48 Add 12.5 to both side

         +12.5 +12.5

6.05x = 60.5 now divide both sides by 6.05

/ 6.05    /60.5

X     =  1

A chocolate chip cookie recipe needs 2 cups of chocolate chips and teaspoon of salt. If the recipe is increased to 6 cups of chocolate
chips, how many teaspoons of salt are needed?

Answers

Answer:

3 teaspoons

Step-by-step explanation:

Since we need 1 teaspoon for 2 cups, I would only assume we would keep adding a teaspoon for every 2 additional cups of chocolate chips.

2 + 2 + 2 = 6

We would need an additional teaspoon of salt for each of the sets of two.

what is 494 divided by 6.5

Answers

Answer:

76

Step-by-step explanation:

Answer:

494 divided by 6.5 =76

Step-by-step explanation:

A stray dog ate 30 of your muffins. That was 5/7 of all of them! How many are left?

Answers

Answer:

42

Step-by-step explanation:

5/7x=30

x=42

Answer:

40

Step-by-step explanation:


Plot each point on the coordinate plane.


Answers

A left 3 time up 5 times.
B right 2 times down 4 times.
C start at the center then go up 3 times.
D just go to the right six times.
E left two times and down 7 times

I hoped that helped.

Ray earns $15 an hour for up to 40 hours a week. If he works more than 40 hours a week, he is paid time and a half. That means Ray is paid 150% of his hourly wage for every hour he works over his normal 40 hour work week. How much would Ray's paycheck be if he works 46 hours in one week?

Answers

Answer:

$735

Step-by-step explanation:

40 hours x $15 per hour = $600

6 hours x $22.50 = $135

Add both dollar amounts together

Please help me ASAP
How many pavers are needed to cover the patio?

Answers

Answer:

270

Step-by-step explanation:

✔️Area of the Patio = bh

b = 12 ft = 144 in.

h = 10 ft = 120 in.

Area of Patio = 144*120 = 17,280 in.²

✔️Area of Brick Paver = bh

b = 8 in

h = 8 in

Area of the Brick Paver = 8*8 = 64 in.²

The number of quaver needed to cover the Patio = area of Patio ÷ area of one brick quaver

= 17,280/64 = 270

Which expression best estimates
– 184-2į?
O 18-3
-18-3
0-18-(-3)
O 18-(-3)

Answers

the best one is 18-3

Express 44 copies in 4 minutes as a unit rate.

Answers

Answer:

11:1

Step-by-step explanation:

For every 11 copies, 1 minute passes. Four minutes passed in this case and thus 11*4 would equal 44 and 1*4 would equal 4.

Which number represents 50% of 1.5?
A
0.50
0.75
c
1.00
2.25

Answers

Answer:

0.75

Step-by-step explanation:

50% * 1.5

0.75

Hope this Helps!!!

Question 1) In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row. A) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work. (B) Use the rule to determine which row has 100 seats. Show your work. ( No Plagiarism and only answer if you know how to work this problem out. Will Mark Brainliest).​

Answers

Answer: Row 14

Step-by-step explanation:

Row 1= 22

Row 2= 28

Row 3= 34

Row 4= 40

Row 5= 46

Row 6= 52

Row 7= 58

Row 8= 64

Row 9= 70

Row 10= 76

Row 11= 82

Row 12= 88

Row 13= 94

Row 14= 100

This question is based on the sequence. Thus, the  row 14 has 100 seats.

Given:

In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row.

Now calculated the A part of the question.

According to the question,

By using iterative rule to model the sequence formed by the number of seats in each row.

Row 1= 22 Row 2= 28 Row 3= 34 Row 4= 40 Row 5= 46 Row 6= 52 Row 7= 58 Row 8= 64 Row 9= 70  Row 10= 76 Row 11= 82 Row 12= 88 Row 13= 94 Row 14= 100

(B) By using rule , we observe that row 14 has 100 seats.

For more details, prefer this link:

https://brainly.com/question/7854718

Can someone help me please

Answers

Answer:

64 cm^2

Step-by-step explanation:

SA = s^2 + 2sl

= 4^2 + 2(4)(6)

= 64 cm^2

What is a fraction equivalent to 4/4? Explain how you know.

Answers

Answer:  Any number over itself is equivlent to 4/4.

Examples: 3/3, 18/18, 5/5, 90/90

Step-by-step explanation:

Because 4/4 is equivalent to 1 whole.

A fraction that is equivalent to 4/4 would be, 5/5 as, After simplifying the fraction 5/5 is equal to 1.

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.

Given that,

The fraction is,

⇒ 4/4

Now, after simplifying the fraction we get;

⇒ 4/4

⇒ 1

So, Let a fraction that is equivalent to 4/4 would be;

⇒ 5/5

After simplifying we get;

⇒ 5/5 = 1

Therefore, A fraction that is equivalent to 4/4 would be, 5/5

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Jimmy scored 49 goals in soccer this season.tommy scarred 7 times fewer goals how many goals did tommy score

Answers

i do not know how to play soccer but if you are only subtracting 7 from 49, the answer would be 42.

so my answer is 42 unless you aren’t supposed to subtract
Your answer is gonna be 42 !

PLEASE HELP MEE!!!!!!!!Joshua is 11 years old, and his dad is 33
years old. What is the ratio of Joshua's
age to his dad's age?

Answers

Answer:

11:33 or in simplified terms 1:3

Step-by-step explanation:

Hope this helps!:)

What is the value of A in the equation shown?​

Answers

Answer:

is this algebra 1

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

you isolate the variable by dividing each side

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