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3 years ago

4x^2+2x-1=0 in quaratic equations

Mathematics

1 answer:

Viktor [21]3 years ago

5 0

Answer:

Step-by-step explanation:

"quaratic" should be "quadratic."

The coefficients of this quadratic are 4, 2 and -1. Thus, the discriminant is

b^2 - 4ac, or here, 4 - 4(4)(-1) = 20

Since the discriminant is positive, our quadratic has two real, different roots.

-2 ± (√4)(√5)

The roots are: x = ---------------------

2(4)

-1 ± √5

This reduces to x = ---------------

You might be interested in

Assuming you are creating a book with 991 pages with a size of 8.5in x 11in, how many words will the story be?

KiRa [710]

This question is solved using proportions, as the table gives us the number of words per page given the dimensions, and the number of pages, which lets us calculate the number of words.

Doing this, we get that the story will be composed of 792,800 words.

-------------------------------------------

According to the table, pages of dimensions 8.5in x 11in have 800 words.
The book has 991 pages, of 8.5in x 11in dimensions.

Thus, considering that there will be 991 pages, each with 800 words, the total number of words in the story will be of:

$991 \times 800 = 792,800$

The story will be composed of 792,800 words.

A similar question is given at brainly.com/question/19905617

7 0

3 years ago

11. Find the sum of all prime numbers between 50<br>and 60.<br>A. 109<br>B. 110 -0. 112 D. 122

denpristay [2]

Answer:

$C.112$

Step-by-step explanation:

$First,\\Lets\ list\ out\ all\ the\ primes\ between\ 50\ and\ 60:\\53,59\\Hence,\\By\ adding\ them\ we\ get:\\53+59\\=112$

5 0

3 years ago

Pam works a 52 hours in a week. Considering that a normal work week is 40 hours and paid at $1470 per hour and overtime is paid

Bezzdna [24]

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

6 0

3 years ago

37 + 15r > or equal to 127, what is the answer?

Tpy6a [65]

Answer:

r ≥ 6

Step-by-step explanation:

37+15r ≥ 127

-37 -37 37 cancels and you're left with 15r

15r ≥ 90

/ 15 /15 15 cancels and you're left with r

r ≥ 6

4 0

3 years ago

What measure of center best represents the data set?

inysia [295]

I feel like it would be mean or median, because there is no outlier, making it so that all of the numbers are closely put together.

Put the set into order.

25, 26, 27, 28, 29

So, we know that this is all in order, making it so that we know for sure that there is no outlier.

If you find the mean, it'll represent the data nicely.

We know that both the mean and median represent the data set nicely, because it just does. It's one of those things that are extremely painful and hard to fully explain and have someone understand, but don't worry, it makes sense.

So, it can't just be the mean only or the median only.

It also can't be the mode only, because THERE IS NO MODE!

So, our final answer is mean or median :)

~Hope I helped!~

7 0

4 years ago