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hichkok12 [17]
2 years ago
10

HALP!!! PLEASE!! I PROMISE YOU WILL BE MARKED BRAINLIEST!!!

Mathematics
1 answer:
elixir [45]2 years ago
5 0

The sum of the inverses of the solutions of the quadratic equation is equal to 2.75.

<h3>How to find the solutions of the quadratic equation?</h3>

Here we the quadratic equation:

0 = 5x^2 - 11x + 4

The solutions are given by Bhaskara's formula:

x = \frac{11 \pm \sqrt{(-11)^2 - 4*4*5} }{2*5} \\\\x = \frac{11 \pm \sqrt{41} }{10}\\\\

So the two solutions are:

a = \frac{11 + \sqrt{41} }{10}\\\\\\b =  \frac{11 - \sqrt{41} }{10}

Then we have:

\frac{1}{a} + \frac{1}{b}  = \frac{10}{11 + \sqrt{41} }  + \frac{10}{11 - \sqrt{41} } \\\\= \frac{10*(11 + \sqrt{41} + 11 - \sqrt{41})  }{(11 + \sqrt{41})*(11 - \sqrt{41})} \\\\= \frac{10*(11 + 11 )  }{(11 + \sqrt{41})*(11 - \sqrt{41})}\\\\= \frac{220}{80} = 2.75

If you want to learn more about parabolas:

brainly.com/question/4061870

#SPJ1

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2 years ago
Niccola travels at an average speed of 40 mph for 50 miles.
sweet [91]

Answer:

36.67 [mile/hour].

Step-by-step explanation:

1) use the formula: V=S/t, where S - entire jorney, v - average speed (required to calculate), t - elapsed entire time.

2) according to the formula above S=50+60=110 miles; t= 50/40 + 1.75=1.25+1.75=3 hours.

3) after the substitutuion  110 and 3 into the formula above:

v=110/3≈36.67 miles/h.

7 0
2 years ago
The probability that…. The student is not female or received a degree outside of the field
a_sh-v [17]

Answer:  0.8953 (approximate)

The more accurate value is 0.89528093209023; however, it's not entirely exact either. Round that however you need.

===========================================================

Explanation:

There are 774,517 males and 1,400,843 people who got their degree outside of the field. Add those values

774,517+1,400,843 = 2,175,360

This unfortunately double counts the number of males who got their degree outside of the field (576,228) so we need to subtract that count off

2,175,360 - 576,228 = 1,599,132

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

There are 1,599,132 people who are either

  • A) male
  • B) got their degree outside the field, or,
  • C) both male and got their degree outside the field

This is out of 1,786,179 people total.

We'll divide these two values to get the final answer

(1,599,132)/(1,786,179) = 0.89528093209023

It's not clear how your teacher wants you to round this. If you round it to say 4 decimal places, then you'd get approximately 0.8953

The chances of the student not being a female or receiving their degree outside the field is roughly 89.53%

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