HELP NEEDED ASAP. "ONLY ANSWER IF YOU KNOW THE ANSWER"
Solve the equation by completing the square.
x^2 + 10x= -81

HELP NEEDED ASAP. "ONLY ANSWER IF YOU KNOW THE ANSWER"Solve The Equation By Completing The Square. X^2

Answers

Answer 1

Answer:

x =-5±  2i sqrt(14)

Step-by-step explanation:

x^2 + 10x= -81

Take the coefficient of x and divide by 2

10/2 = 5

Square it

5^2 =25

add to each side

x^2 + 10x+25 = -81+25

( x+5) ^2 = -56

Take the square root of each side

sqrt(( x+5) ^2) =± sqrt(-56)

x+5 = ± sqrt(-1) sqrt(4*14)

x+5 =± i sqrt(4)sqrt(14)

x+5 =± i 2 sqrt(14)

Subtract 5 from each side

x+5-5 =-5± i 2 sqrt(14)

x =-5±  2i sqrt(14)


Related Questions

Gilberto needs to purchase baseballs and bats for his youth baseball league. He'll need at least 15 pieces of equipment, but he only has $435 to spend. Baseballs cost $20 each and bats cost $35 each. If Gilberto wants to purchase the most amount of equipment and still stay within his budget, which combination of baseballs and bats is optimal? (2 points)
a (20, 1)
b (13, 5)
c (13, 2)
d (10, 5)

Answers

Answer: A) (20, 1)

Step-by-step explanation: Largest number

Brian bought a fish tank that is 22 in. long, 12 in. wide, and 16 in. tall. Which is the volume of the fish tank?

Answers

Answer: 4224 feet cubed

Step-by-step explanation:

Volume for a rectangular tank =LxWxH

22x12x16=4,224

Answer:

4224in^3

Step-by-step explanation:

The formula for volume is height x length x width ( x means multiply)

so to find the volume of the fish tank you multiply each of the sides by each other, 12x16x22. So the volume of the fishtank is 4224 inches cubed(^3) make sure you write the cubed and units at the end, just like how for area you always make it squared.

When Xander arranges his pennies into a rectangle with more than one row, he always has some leftover pennies. When he uses two equal rows or three equal rows, he has one leftover penny. When he arranges them into a rectangle with four equal rows, he has three leftover pennies. Remember he has between 10 and 40 pennies total. How many pennies does Xander have?

Answers

Answer:

20

Step-by-step explanation:

hope this was right and helpful

How do you multiply 12x12 step by step?

Answers

Answer:

144

Step-by-step explanation:

 

 12

X12

------

 

If you are writing this problem out by hand, be sure that your numbers are lined up, like above.  This will help you in making sure that you solve each step of your problem properly.

 

First, start with the 12.  Multiply 12 by the "2" in the one's place, in the second number:

 

 12

X  2

-----

 

Begin by multiplying 2 X 2 first, in the "ones" column.

 

Do you have 2X2=4?  Great!  Put the 4 in the ones column, where your answer would go.

 

Next, multiply 2 times the 1 digit.  The 1 is actually a 10, because it is in the "tens" column.

 

2 X10=20

 

Place your 2 in the "tens" column--It should look like this...

 

 12

X  2

-----

 24

 

Since you are finished with the "ones" place, now you will work with the tens column.

 

put a zero under the 4 in 24.

 

then continue like this

 

 12

X12

-----

 24

120      because 12 X10=120

------

144      If you add 24 +120, you should have 144.

 

If you have a slightly different way of doing this problem, that's OK.  The point is to get the correct answer.

 

If you have a times table, you can check yourself.

 12 X12=144

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The result of 12×12 is 144.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

To multiply 12×12 can be done as

       1   2

     × 1   2

    ______

1. Multiply 2 to 2, therefore, you will get the first term, thereafter, multiply 2 to 1.

       1   2

     × 1   2

    ______

       2   4

2. Next, leave the place below the first digit and start to multiply 1 to 2 and then to 1 to 1. Therefore,

       1   2

     × 1   2

    ______

       2   4

+ 1   2   0

3. Now add the term you will get the final result, therefore,

       1   2

     × 1   2

    ______

       2   4

+ 1   2   0

________

  1   4   4

Hence, the result of 12×12 is 144.

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Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
Calculate how much interest she will pay over the 5 years?
How much will Leah have to pay back in total

Answers

Answer:

She will pay $7,500 interest over the 5 years

She will have to pay back $17,500 in total

Step-by-step explanation:

Let us revise the rule of the simple interest

I = Prt and A = P(1 + rt) , where:

A = Total Accrued Amount (principal + interest) P = Principal Amount I = Interest Amount r = Rate of Interest per year in decimalt = Time Period involved in months or years

∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.

P = 10,000

t = 5

r = 15% = [tex]\frac{15}{100}[/tex] = 0.15

→ Substitute them in the first rule to find the interest

∵ I = 10,000(0.15)(5)

∴ I = 7,500

She will pay $7,500 interest over the 5 years

→ Let us find A

∵ A = 10,000(1 + 0.15×5)

∴ A = 17,500

She will have to pay back $17,500 in total

Three families bought food at a baseball game. The Davis family spent $16.50 on 3 hot dogs, 2 drinks, and 1 pretzel. The Ruiz family spent $26 on 4 hot dogs, 4 drinks, and 2 pretzels. the Cho family spent $13.75 on 2 hot dogs, 1 drink, and 3 pretzels. What is the price of one pretzel?

Answers

Answer:

Price of one pretzel = $1.5

Step-by-step explanation:

Let the price of a hot dog = [tex]x[/tex]

Let the price of a drink = [tex]y[/tex]

Let the price of a pretzel = [tex]z[/tex]

As per the given question statement:

[tex]3x+2y+z=\$16.50..... (1)\\4x+4y+2z=\$26........ (2)\\2x+y+3z=\$13.75..... (3)[/tex]

To find:

The price of one pretzel, i.e. [tex]z=?[/tex]

Multiplying (3) with 2 and subtracting (1) from it:

[tex]x+5z=11[/tex] ..... (4)

Multiplying (3) with 4 and subtracting (2) from it:

[tex]4x+10z=29[/tex] ..... (5)

Multiplying (4) with 4 and subtracting (5) from it:

[tex]10z=15\\\Rightarrow z =\bold{1.5}[/tex]

The price of one pretzel is $1.50.

Calculation of the price:

Let the price of a hot dog = x

Let the price of a drink = y

Let the price of a pretzel = z

So,

The equations are

3x + 2y + z = $16.50 .....(1)

4x + 4y + 2z = $26..........(2)

2x + y + 3z = $13.75........(3)

Now

Here we Multiplying (3) with 2 and subtracting (1) from it:

So, it gives x + 5z = 11 ......(4)

Now

Multiplying (3) with 4 and subtracting (2) from it:

So, 4x + 10z = 29...(5)

Now

Multiplying (4) with 4 and subtracting (5) from it:

So, 10z = 15

x = 1.5

Therefore, The price of one pretzel is $1.50.

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What is the equation of the line that passes through the point (-7, -4) and has a
slope of 1?

Answers

Answer:

y = x + 3

Step-by-step explanation:

y = mx + b

-4 = -7 * 1 + b

-4 = -7 + b

3 = b

y = x + 3

Hope this helps!

Let me know if I'm wrong :)

Find f(7) given f(x) = 5x+ x + 2

Answers

Answer:

44

Step-by-step explanation:

hi! we can plug in 7 for each x in this equation.

f(7)=5(7)+7+2

=35+7+2

=35+9

=44

what is the minimum of y=lx^2-9l?

Answers

Answer:

maximum y=9 and x=0 but the minimum is infinite.

Step-by-step explanation:

Lin ran 2 ⅔ miles in ⅖ of an hour. Noah ran 8 ⅔ miles in 4/3 of an hour.
Who ran faster, Noah or Lin?

How far would Lin run in 1 hour?

How far did Noah run in 1 hour?

How long would it take Lin to run 1 mile at that rate?

How long would it take Noah to run 1 mile at that rate?

Answers

Lin ran faster because if you convert 2/5=24mins 4/3=80mins and lin would run 2.5 miles in an hour and Noah would run 0.75 miles I don’t know the rest sorry

PLZ HELP WILL GIVE BRAINLIEST

Answers

Julie: 6+2(-1/2)
6-1
5
Jasper: 6+ 4(-1/2)
6-2
4

5-4=1
Julie has 1 more point than Jasper

Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.55. Assume the amounts are normally distributed with standard deviation $21.00. Use the TI-84 Plus calculator to answer the following. (a) What proportion of bills are greater than $135? (b) What proportion of bills are between $84 and $143? (c) What is the probability that a randomly selected household had a monthly bill less than $119? Round the answers to at least four decimal places.

Answers

Answer:

a) 0.11277

b) 0.83253

c) 0.67364

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

Mean = $109.55.

Standard deviation = $21.00.

a) What proportion of bills are greater than $135?

z = (x-μ)/σ

z = 135 - 109.55/21

= 1.2119

Probability value from Z-Table:

P(x<135) = 0.88723

P(x>135) = 1 - P(x<135) = 0.11277

The proportion of bills are greater than $135 = 0.11277

(b) What proportion of bills are between $84 and $143?

For x = $84

z = (x-μ)/σ

z = 84 - 109.55/21

= -1.21667

Probability value from Z-Table:

P(x = 84) = 0.11187

For x = 143

z = (x-μ)/σ

z = 143 - 109.55/21

= 1.59286

Probability value from Z-Table:

P(x = 143) = 0.9444

The proportion of bills are between $84 and $143

= P(x = $143) - P(x = 84)

= 0.9444 - 0.11187

= 0.83253

(c) What is the probability that a randomly selected household had a monthly bill less than $119?

For x = $119

=119 - 109.55/ 21

= 0.45

Probability value from Z-Table:

P(x<119) = 0.67364

The probability that a randomly selected household had a monthly bill less than $119 is 0.67364

The perimeter of a rectangle is less than 10 inches. The length is x and the width is x − 5. If the solution is x < 5, then the length is less than 5. Is this a viable solution?

Answers

Answer: it is a non viable solution

If the length is less than 5 then the width (x - 5) will be less than zero. A rectangle with no width does not exist so this solution is non-viable.

Answer:

non-viable

Step-by-step explanation:

Find the midpoint of the segment with the given endpoints. (-1,3) and (-3,-9)​

Answers

Answer:

( -2,-3) is the midpoint

Step-by-step explanation:

To find the x coordinates of the midpoint, add the x coordinates of the endpoints and divide by 2

( -1+-3)/2 = -4/2 =-2

To find the y coordinates of the midpoint, add the y coordinates of the endpoints and divide by 2

( 3+-9)/2 = -6/2 =-3

( -2,-3) is the midpoint

question pictured. 15 pooints

Answers

it doesnt show the picture of the question any where

Answer:

imagine

Step-by-step explanation:

lol there no picture but lets say its invisible

I need help on this one please

Answers

Answer:

the answer is d

Step-by-step explanation:

Complete the expression so it forms a perfect-square trinomial.

x² +
x + 49

Answers

Answer:

Step-by-step explanation:

How to add a great answer

ADD YOUR ANSWER

Question

Complete the expression so it forms a perfect-square trinomial.

x² +

x + 49

Answer:

The answer is 14

Step-by-step explanation:

on edge 2020.

What is the difference between -82°F and 93°F?​

Answers

Answer:

175°F

Step-by-step explanation:

The difference between -82 and 0 is 82.

The difference between 0 and 93 is 93.

Add these two numbers together to find the total difference:

82 + 93

= 175

So, the difference is 175°F

Answer:
175f
Explanation:

guys whats 1 + 1?
im rly confused plz help

Answers

The answer to 1 + 1 is 2.

Serious Answer:

It's 2, you can use the calculator

Joke Answer:

Uhh it's 11 !

Choose the most appropriate name for the function described below.
The efficiency of a car depends on the weight of the car.

A. Weight(car), or W(c)
B. Efficiency(weight), or E(w)
C. Efficiency(car), or E(c)
D. Weight(efficiency), or W(e)

Answers

Answer: The answer is Weight(car), or W(c)

Step-by-step explanation: Hope this helps!!

Answer:

THE CORRECT ANSWER IS: EFFICIENCY(weight), or E(w)

Step-by-step explanation:

Which of the following quantities are inversely proportional?

The number of hours worked and the amount of money earned, assuming the worker is paid by the hour

Answers

Answer:

Not Inversely Proportional

Step-by-step explanation:

Divide 6 / 1/4 =
giving brainliest

Answers

Answer:

24

Step-by-step explanation:

i showed my work

Answer:

Here we will show you how to calculate 6 divided by 1/4. We will give you the answer in fraction form and in decimal form.

Here is 6 divided by 1/4 displayed mathematically in colors:

6

 ÷    

1

4

The numbers in 6 divided by 1/4 are labeled below:

6 = whole number

1 = numerator

4 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

6 x 4

1

 =  

24

1

Thus, the answer to 6 divided by 1/4 in fraction form is:

24

1

To make the answer to 6 divided by 1/4 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

24 / 1 = 24

The answer is rounded to the nearest two decimal points if necessary.

24/1 is an improper fraction and should be written as 24.

Step-by-step explanation:

You are saving to buy a new car. You currently have $500. You need $1200 to
purchase the car you want and you make $11.50 an hour babysitting.
PLEASE HELP

Answers

Do the equation 1200=500+11.50x
700=11.50x
Then divide 11.50 both sides

Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make pillows and 3 yards to make curtains how much fabric is remaining

Answers

Answer:

3 yards

Step-by-step explanation:

8 1/2 - 2 1/2 = 6

6 - 3 = 3

Your answer is 3.

Please mark as brainliest.

For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $7.00. If 80 tickets are sold for a total
of $605, how many of the tickets were adult tickets and how many were sold to kids under 12?

Answers

Answer:

30 adult tickets,50 kids tickets

Step-by-step explanation:

Given

Cost of adult ticket = $8.50Cost of kids ticket = $7.00Number of tickets = 80Total cost = $605

Let the adult ticket be a and kids be k

We got equations

a + k = 808.5a + 7k = 605

From the first equation we get

k = 80 -a

Substituting k in the second equation

8.5a + 7(80 - a) = 6058.5a - 7a + 560= 6051.5a = 45a = 45/1.5a = 30

Then finding k

k = 80 - 30 = 50

If g(x) = 1-3/4x; Find -5 * g(4) - 1

Answers

Simplify each term :
-20g-1

solve for n
-53 + n = -28

Answers

Answer:

25

Step-by-step explanation:

-53 + n= -28

-53 + 53 + n = -28 + 53

n = 25

Answer: -81

Step-by-step explanation: -53 + n = -28

                                            = n = -53/-28

                                            = -81 as you should put the sign of the bigger no.

please mark as brainliest

-2•f(-6) - 7•g(-7)
Can someone please help me

Answers

Answer:

Your answer is: 12f + 49g

Simplify each term.

Step-by-step explanation:

Hope this helped : )

To participate in a baseball league, the required equipment for each player is a glove, a hat, and a pair of cleats. A glove costs $53.95 , a hat costs $17.95 , and a pair of cleats costs $29.95 . What is the total cost for a team of 12 players?

Answers

Answer:

1222.2

explanation:

53.95 x 12 = 647.40

17.95 x 12 = 215.40

29.95 x 12 = 359.40

647.40 + 359.40 + 215.40 = 1222.2

The total cost for a team of 12 players as per given cost of different equipment's is equal to $1222.20.

To calculate the total cost for a team of 12 players,

Add up the costs of the required equipment for each player.

The equipment includes a glove, a hat, and a pair of cleats.

Cost of one glove = $53.95

Cost of one hat = $17.95

Cost of one pair of cleats = $29.95

Now, we need to calculate the total cost for each player by adding the costs of all three items:

Total cost per player = Cost of glove + Cost of hat + Cost of cleats

Total cost per player = $53.95 + $17.95 + $29.95

Total cost per player = $101.85

Finally, to find the total cost for a team of 12 players, multiply the total cost per player by the number of players:

Total cost for the team of 12 players = Total cost per player × Number of players

Total cost for the team of 12 players = $101.85 × 12

Total cost for the team of 12 players = $1222.20

Therefore, the total cost for a team of 12 players is $1222.20.

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1.
Subtract 24 from the product
of 12 and 8. 24​

Answers

Answer:

12 multiplied by 8.24=98.88

Subtract 24 from 98.88=74.88

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