MATHEMATICS MIDDLE SCHOOL

Solve

x2 + 6x + 6 = 0

Answers

Answer 1
Answer:

Answer:

The solution of x^2 + 6x + 6 is x = -1.2679 or -4.7320

Solution:

A two degree polynomial equation is given in the question.

We have been asked to solve it to find the value of ‘x’.

The given equation is:

x^(2)+6 x+6=0

There are two ways to solve this equation.

We can either factorise it or use the quadratic equation formula. For factorising it, it has to satisfy certain conditions.

The condition is b^2 - 4ac should be a perfect square otherwise the equation is not factorable.

a=1,b=6,c=6

On substituting the values of a,b and c, we get:

Which is not a perfect square.

Hence we have to use the quadratic equation is

x=\frac{-b \pm \sqrt{b^(2)-4 a c}}{2 a}

By substituting the values of a,b and in the quadratic equations. We get;

\begin{array}{l}{x=\frac{-6 \pm \sqrt{6^(2)-4 * 1 * 6}}{2 * 1}} \n\n {x=(-6 \pm √(12))/(2 * 1)}\end{array}

The two roots of x are:

\begin{aligned} x &=(-6-√(12))/(2 * 1) \n\n x &=(-6+√(12))/(2 * 1) \end{aligned}

On solving both the equations we will get the roots of the given equation, which are:

x = -1.2679 or -4.7320
Answer 2
Answer:

Answer:

-1.2679 or -4.7320

Step-by-step explanation:

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Quinn returned home one summer's day to find it sweat-inducingly hot! He turned the air conditioner on and fell asleep. The room's temperature decreased by 0.5° Celsius each minute, and Quinn woke up 60 minutes later when it was 10° Celsius.

Answers

Answer:

He went to bed when it was 40 celsius

Step-by-step explanation:

.5 degree per minute for 60 minutes

.5*60

30 degrees more

30+10=40 degrees

PLEASE ANSWER ASAP!!!! MUST BE CORRECT FOR POINTS GIVEN!!!!! THE QUESTION IS BELOW IN THE SCREENSHOT!!!!! VERY IMPORTANT!!!!!

Answers

375/100 gives you 3.75 then multiply it by the answers to give you 33%

Alexandra has 127 flowers. She putsthe same number of flowers in each
of her vases. How many flowers will
be left over?

Answers

The number of flowers in each vase is 31 and the number of flowers left over is 3.

Given that, Alexandra has 127 flowers and 4 vases.

What is the division?

The division is one of the basic arithmetic operations in math in which a largernumber is broken down into smaller groups having the same number of items.

Here,

The same number of flowers in each of her vases =Total number of flower/Number of vases

= 127/4

Now, 4|127|31

            124
         _______
               3

Number of flowers left over =3

Therefore, the number of flowers in each vase is 31 and the number of flowers left over is 3.

To learn more about the division visit:

brainly.com/question/1575906.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

Alexandra has 127 flowers and 4 vases. She puts the same number of flowers in each of her vases. How many flowers will be left over?

How many vases are there?

A construction worker bought several bottles of juice for $3 at the convenience store. She paid for them with a $20 bill.If "J" represents the number of bottles of juice,write an expression for the change she should receive. Solve.Show each step.

Answers

Each bottle of juice costs $3, so to find the total price of the bottles, you would have to multiply the number of bottles by $3, or:
3×J

Since she paid for them with a $20 bill, you need to subtract the total price of the bottles (shown above) from 20. Let's say "y" is the amount of change she receives:
y=20-(3×J)

You take a test with 32 questions on it. You answer 24 questions correctly. What percent of the questions do you answer correctly?

Answers

Divide the answer correct by the total. 24/32 = 0.75%
75 percent is what the answer would be all you have to do is go to quick grade and it tells you.

Find the least common denominator (LCD) for the fractions. 1/12 and 3/4                             

      A. 12 

      B. 4                                              

    C. 16                                              

    D. 48

Answers

'12' and '48' (choices 'A' and 'D') will both work as common denominators.

The least one is '12' .

Since 4 is a factor of 12, any multiple of 12 is also a multiple of 4 , and can
serve as a common denominator.  The smallest multiple of 12 is 12 itself.
1/12
Multiples of 12: 12, 24, 36, 48, 60...

3/4
Multiples of 4: 4, 8, 12, 16, 20, ...

12 is a multiple of both 12 and 4, therefore that will be the LCD.
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