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blondinia [14]
3 years ago
11

What are the possible values of x in 8x2 + 4x = -1?

Mathematics
1 answer:
Rudiy273 years ago
4 0
Answer: x only can have complex values, not real values.


x = -1/4 - 1/4i and x = -1/4 + 1/4 i


Explanation:


Finding the possible values of x in the expression given is solving the quadratic equation.


8x² + 4x = - 1

Rearrange the terms:


8 (x² + x/2) = - 1 ← common factor 8 in the left side


x² + x/2 = - 1/8 ← division property

x² + x/2 + 1/16 = - 1/8 + 1/16 ← addition property

(x + 1/4)² = -1/8 + 1/16 ← -factor the perfect square trinomial in the left side


(x + 1/4)² = - 1/16 ← add the fractions in the right side


x + 1/4 = (+/-) √ (-1/16) ← square roots on both sides


x + 1/4 = (+/-) (1/4)i ← complex solution


x = - 1/4 +/- 1/4i


x = - 1/4 - 1/4i and x = - 1/4 + 1/4 i ← answer
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ch4aika [34]

Answer:

10.125 feet.

Step-by-step explanation:

you can use the rule of three to answer this question, the data we have is:

inches      feet

     1      →   4 1/2

  2 1/4    →   x

tha last table just indicates what the problem tells us, that one inch is equal to 4 1/2 feet and we want to know how much in feet the 2 1/4 inches are.

For this we multiply the cross quantities:

x=(2\frac{1}{4} )(4\frac{1}{2} )=2.25*4.5=10.125 ft

the actual length of the kitchen is 10.125 feet.

   

7 0
4 years ago
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il63 [147K]

Answer:

24 is the simplest common denominator of 3 and 8

Step-by-step explanation:

24 is the first time they can become equal without becoming a decimal

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8 0
3 years ago
A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a
Likurg_2 [28]

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations 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 X happening.

A real estate agent has 17 properties that she shows.

This means that n = 17

She feels that there is a 50% chance of selling any one property during a week.

This means that p = 0.5

Compute the probability of selling less than 3 properties in one week.

This is

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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

P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0

P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001

P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011

0.0011 = 0.11% probability of selling less than 3 properties in one week.

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