Solve 2x2 + 12x − 14 = 0 by completing the square.

Answers

Answer 1
Answer: add 14 both sides
2x^2+12x=14
make term in front of x^2 1

divide both sid s by 2
x^2+6x=7
take 1/2 of 6 and square it and add to both sides (6/2=3 3^2=9)
x^2+6x+9=7+9
factor pefect square
(x+3)^2=16
sqrt both sides
x+3=+/-4
minus 3
x=+/-4-3
x=4-3 or -4-3
x=1 or -7


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Choose the number that is 1/4 of 1/2 of 1/5 of 200:A2 B5 C10 D25 E50
ben earns $12,800 a year.15% of his yearly pay is taken out for taxes. how much does ben pay in taxes?

Plz answer this Asap ....How does the size of a circular object affect the relationship of the circumference divided by the diameter?

Answers

It doesn't. The circumference of a circle is 2*pi*radius and the diameter is 2*radius, so the circumference divided by the diameter is pi, which is the ratio of circumference to diameter.
it is the 56 dimartie over 63

Find two different ways to show how you know either 3/4 is greater than 2/3

Answers

You can change them into fractions with the same denominator: multiply 3/4 by 3 and 2/3 by 4

3/4 = 9/12
2/3 = 8/12

You could also convert them to decimals. 
3/4 = 0.75
2/3 = 0.667

3/4 is greater than 2/3

If we wanted to know how high a 5th-grade student could jump, how many students would be reasonable to test? 5, 12, 30, or 200.please help

Answers

200 students would be reasonable to test because you can average the score more easily.

What is average in maths?

In plain English, an average is indeed a single number chosen to represent a group of numbers; it is often the sum of the values divided by the number of numbers in the group. The average of a integers 2, 3, 4, 7, or 9 is, for instance, 5. An average could be another statistic like the median or mode depending on the situation.

here, we have,

Because the mean would be greater if the personal incomes of a few billionaires were included, the median—the amount below which 50% of personal incomes fall and over which 50% of personal incomes rise—is sometimes used to represent the average personal income.

It is advised to avoid to use the word "average" while addressing central tendency measurements because of this.

If we wanted to know how high a 5th-grade student could jump, 200 students would be reasonable to test because you can average the score more easily.

Therefore, 200 students would be reasonable to test because you can average the score more easily.

To know more about average, here:

brainly.com/question/30873037

#SPJ2

The right amount to test would be 30.

200 is to many kids and 12 is not enough.

Hope this Helps!!

Help me with (mad) Mean Absolute Deviation. I don't get it!!!

Answers

To Solve MAD or the mean absolute deviation what you need to do is get the Mean so lets say  you have the numbers 20,35,18,34,60,82,10, and 29 add them up to get 228. next divide by the amount of numbers 228/8 = 36 now to get the mean absolute deviation get the difference of each number, but some will be negative so we will turn them to positive Like so.
20-36=-16 turn to positive 16
36-35=1
36-18=18
36-34=2
60-34=24
82-34=46
36-10=26
and 36-29=7
you add up these numbers to get 140 then divide them by the numbers 140/8=17.5
so 17.5 is your mean absolute deviation.

What are the first three common multiples of 5 and 15

Answers

The first 3 common multiples of 5 and 15 are 15, 30, and 45. Remember that the number itself is also a multiple of any number, since you can multiply it by 1.

5 - 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
15 - 15, 30, 45, 60, 75, 90, 105

Hope this helps!

Mercury Orbits the sun in 87 24/25 earth days. Venus Orbits the sun in 224 7/10 Earth days, and Mars Orbits the sun in 686 49/50 days. Write each mixed number as a decimal.

Answers

Mercury: 87 24/25
Venus 224 7/10
Mars 686 49/50

All we need to do is to convert fractions so they have a denominator of 10, 100, 1000 etc.

87 24/25 = 87 96/100
224 7/10 stays the same
686 49/50 = 686 98/100

Now we can easily convert them into decimals:

Mercury: 87.96
Venus: 224.7
Mars: 686.98

The correct answers are:

87.96; 224.7; 686.98.

Explanation:

In order to write these numbers as decimals, we need to convert the fractions to fractions with denominators of 10, 100, or 1000.

224 7/10 already has a denominator of 10; this makes it 224.7.

For 87 24/25, we can multiply the denominator by 4 to make 100.  Doing that means we need to multiply the numerator by 4 as well:

87 (24*4)/(25*4) = 87 96/100 = 87.96

For 686 49/50, we can multiply the denominator by 2 to make 100.  Doing that means we need to multiply the numerator by 2 as well:

686 (49*2)/(50*2) = 686 98/100 = 686.98