Mathematics Middle School

x squared + 12x +3 = 7 solve by completing the square

Answers

Answer 1

Answer:

x = -6 ± 2sqrt(10)

Step-by-step explanation:

x^2 + 12x+3 = 7

Subtract 3 from each side

x^2 +12x = 4

Take the coefficient of x

12

Divide by 2

12/2 = 6

Square it

6^2 =36

Add this to each side

x^2 +12x +36 = 4+36

(x+6)^2 = 40

Take the square root of each side

sqrt((x+6)^2) =± sqrt(40)

x+6 = ± sqrt(40)

x+6 = ± sqrt(4)sqrt(10)

x+6 =± 2sqrt(10)

Subtract 6 from each side

x+6-6 = -6 ± 2sqrt(10)

x = -6 ± 2sqrt(10)

Answer 2

Answer:

(x + 6)² = 40 → x = ±2√10 - 6

Step-by-step explanation:

x²+12x+3=7 can be solved by completing the square

To do so we must first find the term we are adding to both sides of the equation by using \((\frac{b}{2} )^2}\)

In this case, our b is 12, so plugging this into the formula we get \((\frac{12}{2} )^{2} =6^{2} =36\)

We first need to subtract the 3 from both sides of the equation to get x²+12x=4

We then can add the 36 to both sides of the equation: x² + 12x + 36 = 4 + 36 → x² +12x + 36 = 40

Now we are able to factor the left side of the equation to get (x + 6)² = 40

To solve for x we need to take the square root of both sides \(\sqrt{(x+6)^{2} } =\sqrt{40}\) to get x + 6 = ±2√10

Then we need to subtract 6 from both sides to get x = ±2√10 - 6

Related Questions

A chemist wants to dilute a 30% phosphoric acid solution to a 15% solution. He needs 10 liters of the 15% solution. How many liters of the 30% solution and water must the chemist use?

Answers

The chemist needs to use 5 liters of the 30% solution and 5 liters of water.

Answer:

30% solution x liters

30%(water) 10-x liters

15% 10 liters

Step-by-step explanation:

What is the domain and range of:

What is the domain and range of:

Answers

Answer:

b

Step-by-step explanation:

how it works with life

The answer is b explanation I asked my math teacher on mine

Can someone please help

Can someone please help

Answers

Answer:

I think the answer is c

Step-by-step explanation:

Sorry if i am wrong, also pleas give me Brainliest

It’s a. 5/4n-3/8 you can look this up. A. No b no c no d a

Savannah, Greg, and Kevin all take part-time jobs for the summer. Their hourly wages are show in the tables below. Use the information to answer each question.


1: What is the constant of proportionality, k, of Kevin's wage?

2: What is constant of proportionality, k, of Greg's?

3: What is the constant of proportionality, k, of Savannah's wage?

4: [blank] has the highest hourly rate per hour.

5: If all three friends worked 20 hours during the week, how much would each person earn? Savannah-[blank]

6: If all three friends worked 20 hours during the week, how much would each person earn? Greg-[blank]

7: If all three friends worked 20 hours during the week, how much would each person earn? Kevin-[blank]

8: Savannah earns $247.00. How many hours did she work?

9: How long will it take Greg to earn $500.00? Round to the nearest hour.

Savannah, Greg, and Kevin all take part-time jobs for the summer. Their hourly wages are show in the

Answers

Answer:

Wait, so u want us to solve this whole thing?

Step-by-step explanation:

Answer:

1. kevins wage is 8.25     2. greg wage is 9.00   3. Savannah's wage is 9.25

4. Which person has the highest hourly wage: Savannah, Greg or Kevin- kevin 5. Savannah has earned $247.00 this week.  How many hours did she work- 26 hours

6. Greg will need to work 61 hours to earn $500.00.

Step-by-step explanation:

im working on these same questions right now lol but here are all the answers hope this helps.

ASAP some answer this ASAP

ASAP some answer this ASAP

Answers

Answer:

(-3, 7)

Step-by-step explanation:

minus the x value by 2, minus the y value 3, rule for reflection over line y=-x is (-x, -y), so just swap the signs, and thats your answer.

This answe would have to be (-3,7)

Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111

Answers

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

The products of the given pairs of numbers are:

(-5)(4.2) = -21

(-7)(-3) = 21

(4)(5) = 20

(2.5)(-9) = -22.5

So, the pairs of numbers and their products are as follows:

(-5)(4.2) = -21 matches with -21.

(-7)(-3) = 21 matches with 21.

(4)(5) = 20 matches with 20.

(2.5)(-9) = -22.5 matches with -22.5.

I hope this helps!

From a 2.6L container of soft drink , Jiselee gave 5 glasses each holding 160ml to her cousins. She poured the remainder in glasses each holding 225ml and each glass for $10.50. Calculate the amount of money she earned

Answers

She gave 5 glasses of 160ml each thats equal to 800ml
The amount left is 2600ml-800=1800ml
The number of glasses she filled with 225 is 1800 divided by 225=8 glasses
She sold each glass for $10.50,so, she made 10.50x8=$84
Thus final answer is $84

The check register shows the transaction in ms. Garcia's checking account. she open the account on October 3 /based on the information in the check register, what is the balance in ms. Garcia's check register after the ATM transaction on October 11

Answers

If it's about currency amount, then it should be about $2,095..

Answer:

Its an answer :O

Step-by-step explanation:

GET SMARTER

pleaase help me, thank you! :)

pleaase help me, thank you! :)

Answers

⚽️brhrhrbdndndndnajsjejrjfnfndnwnenennfnf enjerndnxnneenrnfbcb jendnsndhdjs.

Answer is Y*3 because the outside is 5yd

3(j+2)-2 I don't know plz help

Answers

Answer:

3j+4

Step-by-step explanation:

yw :>

Answer:

3j + 4

Step-by-step explanation:

3(j+2)-2 Distribute 3 into (j+2)

3j+6-2

3j+4

Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.



What is the mean number of minutes spent on the phone?

Some students recorded how many minutes they spent on the phone in one day. They put the results in a

Answers

Answer:   31

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

Find the percent equivalent to 18 over 30.
Answers 39% 56% 60% 66%


PLEASE HELP NOW

Answers

Answer:

60%

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

To find the value of a fraction as a percent we can divide the numerator by the denominator and then multiply that by 100.

\(\frac{18}{30}= \frac{3}{5} = 0.6\)

0.6 x 100= 60

Therefore 18/30= 60%

50** POINTS! 7th Grade, Geometry. Thankyou.

50** POINTS! 7th Grade, Geometry. Thankyou.

Answers

Because they are vertical angles, they are equal to eachother.
Meaning 6x-7=2x+25
Which makes x=4
Plug 4 back into the equation
2(4)+25 which equals 33
33 degree’s because it is lol

evaluate m+n/6 , when m= -3 and n=18

evaluate m+n/6 , when m= -3 and n=18

Answers

Answer:0

Step-by-step explanation:

-3 + 18 divided by 6

3-(-3)=0

Could you help me please!!

Could you help me please!!

Answers

Answer: A

Step-by-step explanation:

First take the base which is 12.5 KM and multiply it by 3.7 KM which equals 46.25. Then you need to divide by 2, which is 23.125 square KM.

Hope this helped.

Answer:

A) 23.125 square kilometers

Step-by-step explanation:

Area of a right triangle: 1/2*b*hb = 12.5 kmh = 3.7 km

A = 1/2*12.5*3.7

A = 1/2*46.25

A = 23.125 square kilometers

Hope this helps!

Put an Actual reasonable answer for the question please.

Put an Actual reasonable answer for the question please.

Answers

Answer:

D (Alicia did 5 more jumping jacks per minute than Melissa.)

Step-by-step explanation:

Alicia's rate is 30 jumping jacks per minute. You can use the formula m=(y2-y1)/(x2-x1) to find the slope/rate. The two points in the table you can use are (1,30) and (2,60). You can plug those coordinates into the slope formula. (60-30)/(2-1)=30/1= 30 jumping jacks per minute.  To find the rate of change/slope for Melissa, you can use the same formula m=(y2-y1)/(x2-x1). The two points you could plug in are (0,0), and (4,100). (100-0)/(4-0)=100/4=25. Melissa does 25 jumping jacks per minute.

That’s hard wow ur smart I cant

Which expression resulted from using the Distributive Property to generate an expression equivalent to 4( 1/4a + b – 6)??
a. a + b – 24
b. 4a – 6b
c. 4a + b – 6
d. a + 4b – 24

Answers

Answer:

a=22

Step-by-step explanation:

a=a and b =1+1=2 so, 24-2=22

b=4a-6b because it can not be subtracted because 4 have a and 6 have b

c=same as b 4a+b-6

d=same as b and c a+4b-24

Ten mangos and twelve avocadoes cost $23. Five mangos and four avocadoes cost $10. How much do one mango and one avocado cost?

Answers

Answer:

$2.15

Step-by-step explanation:

Let mango be m

Let avocado be a

10m + 12a = 23

5m + 4a = 10

Let's get rid of the mangos in the second equation

       10m + 12a = 23

-2 x (5m + 4a = 10)

Now we get:

10m + 12a =23

-10m -8a = -20

Add both the equations and we get:

4a = 3

a = $0.75

since we know that one avocado is for $0.75, we can use this value to find the cost of one mango.

5m + 4a = 10

5m + 4(0.75) = 10

5m + 3 = 10

5m = 7

m = 1.4

So, we now know that a mango cost $1.4

To find the cost of one mango and one avocado:

a + m = 0.75 + 1.4 = 2.15

Therefore, the cost of one mango and one avocado is $2.15

The required cost of one mango is 1.4 and cost of one avocado is 0.75.

What is an equation ?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Cost of ten mangos and twelve avocados is $23,

And cost of five mangos and four avocados is $10.

Let cost of mangoes be represented as M and cost of avocados be represented as A,

The equation can be written as,

10 M + 12 A = 23          (1)

5 M + 4 A = 10           (2)

By solving equation (1) and (2),

M = 7/5 = 1.4

N = 3/4 = 0.75

The cost of one mango is 1.4 and cost of one avocado is 0.75.

To know more about Equation on:

brainly.com/question/187506

#SPJ2

A science test has 20 questions. A student answers 80% of the questions correctly.

How many questions did the student answer correctly?

Enter your answer in the box.

questions

Answers

the student answered 16 questions correctly

Answer:

16 questions

Step-by-step explanation:

Count by 5's to 80. Then, count how many tallies there are.

Which numbers are irrational? Mark all that apply.

Which numbers are irrational? Mark all that apply.

Answers

Answer:

E and F

Step-by-step explanation:

An irrational number is one which cannot be expressed in the form p/q where p and q are both integers.

A number with a repeating decimal is a rational. So 0.5737373.. is not irrational

π is a  non-terminating and non-repeating decimal. This cannot be written as a fraction of two whole numbers. So π is irrational

Square roots of prime numbers are irrational. Since 11 is prime, √11 is irrational

It’s D I got that one and it was right.

Another day, another question (no decimals)

Another day, another question (no decimals)

Answers

Answer:

same as the last one but they add by 3

2+2+2 = 6 +2 = 8

Step-by-step explanation:

7*3 = 21+ 7= 28

42 divided by 7 = 6 * 2

7    21     42

2     6   12  

3x+5+7x


Pls simplify!!!

Answers

Answer:

10x + 5

Step-by-step explanation:

You have to add common numbers (Variables).


3x + 7x = 10x

Then you add the 5.


10X + 5

Answer:

3x + 5x + 7x should just be 15x

Step-by-step explanation:

Hope I helped

Have a Jocular day

Which set of the following numbers is greater than 5.23

Answers

Answer:

what... following...numbers?...

Step-by-step explanation:

Convert: 14 1/4 lb into ounces.

Answers

Answer:

228 ounces

Step-by-step explanation:

Hope this helped :)

228 oz?

i hope this is right omg i-

14 lbs = 224 ounces

1/4 or 0.25 = 4 ounces

224 + 4 = 228 oz

Suppose you bought a house for $467,520 and the value has increased by 19%. What is the new value of the house in dollars? Round your answer to the nearest hundredth.
please explain

Answers

Answer:

19÷100×467520=88828.8

88828.8+467520=556348.8

Nearest hundred=$556300

The table shows conversions of common units of capacity.

Units of Capacity
Customary System Units
Metric System Units
1 gallon
3.79 liters
1 quart
0.95 liters
1 pint
0.473 liters
1 cup
0.237 liters

Approximately how many centiliters are in 3 quarts? Round answer to the nearest unit.

Answers

Answer:

13.2

Step-by-step explanation:

I did it

Help please and thank you

Help please and thank you

Answers

Answer:

A) \(A=\pi r^2\)

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

I really don't know how to explain it. But I hope I helped :)

A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY

Answers

Answer:

192 hours per day / 8 hours per person per day = 24 people

Step-by-step explanation:

Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:

720 person-days x 8 hours = 5,760 hours

To complete the project in 30 days, the total number of hours needed per day is:

5,760 hours / 30 days = 192 hours per day

It’s 24!! EXPLAIN-720/30=24 because you have to divide the amount of people by days p/d= e

What Percentage of a dollar is the value of each coin combination?

What Percentage of a dollar is the value of each coin combination?

Answers

Answer:1. 40%

2. 8

3.135%

Step-by-step explanation:

Can someone pls help?!

Find the product of........ The rest of the question is down below.

Can someone pls help?!Find the product of........ The rest of the question is down below.

Answers

Answer: The answer is −2x+14 just take away the parentheses.

Other Questions
explain why it is important to use simple language in your speeches and presentations. I need help with this equation it's confusing What is the current value of a future amount based on a particular interest rate? Why did Elizabeth Cady Stantion decide to speak at the Convention? A)She was asked to speak since she had spoken in public before and was successful. B)She believed that the women who attended the Convention wouldn't listen to a man speak. C)She felt that only a woman could explain the wrongs done against women. plzzzzz help need answer by 5 mins plzzzz Simplify.3x+1\sqrt(15x^(4)-7x^(3)-10x^(2)-26x-8)A.5x^3-8B.5x^3-4x^2-3xC.5x^3-4x^2-2x-8D.5x^3-7x^2-10x-34 here is a problem that made the rounds of offices and stores. it had most employees stumped. use your skill to solve it. a farmer has $122 to buy 56 chickens. roosters cost $8 each, hens $4 each, and baby chicks 5 cents each. how many of each does the farmer buy if he must buy at least one of each and pay exactly $122 for exactly 56 chickens? Which line has a slope of -1/2?Line a Line b Line cLine d Why do you think pep rally's are fun The agriculture is commercial in the USA and Canada.What should we learn from them to make our agriculture commercialized? Write in four points. What is the conversion factor for converting 2. 12 mol C3H8 to molecules? In the united state court system, the defendant is considered innocent until evidence are provided to prove guilty. In our hypothesis testing framework, which term describes the situation that a defendant is guilty but there is no sufficient evidence for a guilty verdict?. Renee is simplifying the expression (7) (13/29) (1/7).She recognizes that 7 and 1/7 are reciprocals, so she would like to find their product before she multiplies by 13/29. Which property will allow Renee to do this without changing the value of the expressionA- associative propertyB- commutative propertyC- distributive propertyD- identity property What are the 5 most important Bill of Rights? NEED TO KNOW ASAP PLEASE HELPDescribe the differences between these two transformations. f (x) = (x - 5)^2 and f (x) = x^2-5 Shahruk plays four games of golf. His four scores have a mean of 75, a mode of 78 and a median of 77. Work out his four scores. 6. The genetic information of almostevery living thing is stored in a tinystrand called DNA. Human DNA is3.4 x 10-8 meter long.a. Write the length in standard form.b. How many significantdigits are there in themeasurement?The la Who betrayed Boxer in Animal Farm? which of the following was the gettysburg address specifically designed to communicate? when the net amount of all product cost variances is not material during the period relative to the total production costs incurred, the net variance is: