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anastassius [24]
3 years ago
12

What is -2x^ -5x + 5 + 0 using quadratic formula

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

Answer:

x = -5 + √65/2 or

x = -5 - √65/2

Step-by-step explanation:

-2x² - 5x + 5 = 0

2x² + 5x - 5 = 0

Here,

a = 2

b = 5

c = - 5

Now,

Discriminant

<em><u>D = b² - 4ac</u></em>

<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em>= (5)² - 4(2)(-5)

= 25 + 40

= 65

<u>D = 65 > 0</u>

Then,

x = -b +-√b² - 4ac/2a

x = -5 +-√(5)² - 4(2)(-5)/2(2)

= -5 +-√25 + 40/4

= -5 +-√65/4

= -5 +-√65/2

<em><u>x = -5 + √65/2 or x = -5 - √65/2</u></em>

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A system has two failure modes. One failure mode, due to external conditions, has a constant failure rate of 0.07 failures per y
nadya68 [22]

Answer:

0.9177

Step-by-step explanation:

let us first represent the two failure modes with respect to time as follows

R₁(t) for external conditions

R₂(t) for wear out condition ( Wiebull )

Now,

R1(t) = e^{-nt} .....1

where t = time in years = 1,

n = failure rate constant = 0.07

Also,

R2(t)=e^{-(\frac{t}{Q} )^{B} }......2

where t = time in years = 1

where Q = characteristic life in years = 10

and B = the shape parameter = 1.8

Substituting values into equation 1

R1(t) = e^{-(0.07)(1)} \\\\R1(t) = e^{-0.07}

Substituting values into equation 2

R2(t)=e^{-(\frac{1}{10} )^{1.8} }\\\\R2(t)=e^{-(0.1)}^{1.8} }\\\\R2(t)=e^{-0.0158}

let the <em>system reliability </em>for a design life of one year be Rs(t)

hence,

Rs(t) = R1(t) * R2(t)

t = 1

Rs(1) = [e^{-0.07} ] * [e^{-0.0158} ] = 0.917713

Rs(1) = 0.9177 (approx to four decimal places)

5 0
3 years ago
Use the dropdown to complete the following inequality.
bazaltina [42]

Answer:

>

Step-by-step explanation:

b is clearly negative

- - = +

so therefore, subtracting the negative will result in a larger answer than adding a small positive to a negative

6 0
2 years ago
Are your finances, buying habits, medical records, and phone calls really private? A real concern for many adults is that comput
Andrej [43]

Answer:

a)There is a 4.88% probability that none is concerned that employers are monitoring phone calls.

b)There is a 7.89% probability that all are concerned that employers are monitoring phone calls.

c)There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.

Step-by-step explanation:

The binomial probability is the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).

It is given by the following formula:

P = C_{n,x}.p^{n}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of a success.

In this problem, a success is being concerned that employers are monitoring phone calls.

53% of adults are concerned that employers are monitoring phone calls, so p = 0.53

(a) Out of four adults, none is concerned that employers are monitoring phone calls.

Four adults, so n = 4.

Is the probability of 0 successes, so x = 0.

P = C_{n,x}.p^{n}.(1-p)^{n-x}

P = C_{4,0}.(0.53)^{0}.(0.47)^{4}

P = 0.0488

There is a 4.88% probability that none is concerned that employers are monitoring phone calls.

(b) Out of four adults, all are concerned that employers are monitoring phone calls.

Four adults, so n = 4.

Is the probability of 4 successes, so x = 4.

P = C_{n,x}.p^{n}.(1-p)^{n-x}

P = C_{4,0}.(0.53)^{4}.(0.47)^{0}

P = 0.0789

There is a 7.89% probability that all are concerned that employers are monitoring phone calls.

(c) Out of four adults, exactly two are concerned that employers are monitoring phone calls.

Four adults, so n = 4.

Is the probability of 4 successes, so x = 2.

P = C_{n,x}.p^{n}.(1-p)^{n-x}

P = C_{4,2}.(0.53)^{2}.(0.47)^{2}

P = 0.3723

There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.

3 0
3 years ago
The capacity of the milk pitcher on the counter is 9/10 liter each one pitcher has3/8 of milk in it and the other pitcher has 5/
KatRina [158]

Answer:

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Step-by-step explanation:

Given that the capacity (i.e maximum possible volume) of a pitcher is 9/10L

1st Pitcher is 3/8 full of milk

Hence Vol of milk in 1st pitcher = 9/10 x 3/8 = 27/80L

2nd Pitcher is 5/12 full of milk

Hence Vol of milk in 2nd pitcher = 9/10 x 5/12 = 3/8 = 30/80L

Total volume = 27/80 + 30/80 = 57/80L

4 0
3 years ago
Trevor sees eight red birds he sees five more red birds then blue birds how many blue birds does Trevor see
horrorfan [7]

Answer:

3 blue birds

Step-by-step explanation:

To answer this question, simply subtract:

8 - 5 = 3

So, Trevor saw 3 blue birds

Hope this helps!

3 0
3 years ago
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