Mathematics College

Which equation has the solutions x=1+/- 5?
Ox^2+2x + 4 =0
Ox^2-2x + 4 =0
Ox^2+ 2x-4 = 0
Ox^2-2x – 4 =0

Answers

Answer 1

Answer:

[tex]x^{2} -2x-4=0[/tex]

Solving Steps

Use the quadratic formula

[tex]x=\frac{-(-2)(+/-)\sqrt{(-2)^2-4*1*(-4)} }{2*1}[/tex]

Multiply / Remove the parentheses / Evaluate

[tex]x=\frac{2(+/-)\sqrt{4+16} }{2}[/tex]

Calculate

[tex]x=\frac{2(+/-)\sqrt{20} }{2}[/tex]

Separate the solutions

[tex]x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}[/tex]

Simplify

[tex]x=1+\sqrt{5} \\x=1-\sqrt{5}[/tex]

Related Questions

At an arcade, Michael pays $0.50 for each game he plays. proportional or non-proportional?

Answers

Answer:

proportional

Step-by-step explanation:

because for each game played, he pays $0.50, meaning equation is 0.50x. That is a proportional equation. The change is constant, at 0.50

please hit the heart button :)

Answer:

That would be proportional

Step-by-step explanation:

If each game is 50 cents then yes it would be proportional

If each thing is worth the same it’s proportional but if not then its not proportional

for example

1 game 50 cents

2 game 1 dollar (becuase 0.5+0.5 is 1)

3 games 1.50

ts proportional

I gave extra points and I will give brainliest
Which of these is an example of a random sample?

A. Mrs. Baker selects the 10 students who raised their hands to volunteer to fill out a survey.

B. Mrs. Baker selects the 10 students whose names are drawn from a bag to fill out a survey.

C. Mrs. Baker selects the 10 students who arrived to class first on Monday to fill out a survey.

D. Mrs. Baker selects the 10 students with the highest grade point averages to fill out a survey.

Answers

Answer:

B

Step-by-step explanation:

There is no bias involved and there is a chance for everyone to do it.

Answer:

D

Step-by-step explanation:

Mrs. Baker selects the 10 students with the highest grade point averages to fill out a survey.

How is your day? I hope you had a great one!

Answers

Answer:

great!

Step-by-step explanation:

how about you?

if there are 7282 male students at georgia institute of technology, how much females are there?

Answers

Answer:

2974

Step-by-step explanation:

female/male = 29/71

female =male*29/71 =7282*29/71= 2974.33 =2974

A recipe uses 3 tbspoons of olive oil for every 2 cloves of garlic. How many cloves for every 1 tbspoons of oil?

Answers

Answer:

half a clove of garlic

Step-by-step explanation:

2 tablespoons of olive oil would mean 1 clove of garlic so 1 tablespoon of olive oil would mean half a clove of garlic

Answer:

Step-by-step explanation:

6djj

Naomi has a lot of stuff in her pencil case. There are 18 items in her pencil case, including 9 pencils. What is the probability that a randomly selected item from Naomi's pencil case will be a pencil? Write your answer as a fraction or whole number. P(pencil) =​

Answers

Answer:

p=1/2

Step-by-step explanation:

If 9 is 1 half of 18 that means there is a 50% chance of you picking a pencil out of the pencil case

Naomi has a lot of stuff in her pencil case. There are 18 items in her pencil case, including 9 pencils. What is the probability that a randomly selected item from Naomi's pencil case will be a pencil? Write your answer as a fraction or whole number. P(pencil) =


Answer : p= 1/2

The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer about a complaint is normally distributed, with a mean of 10.1 minutes and a standard deviation of 2.8 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be as follows. (Round your answers to four decimal places.)(a) less than 10 minutes (b) longer than 5 minutes (c) between 8 and 15 minutes

Answers

Answer:

0.6395 ; 0.9657 ; 0.7333

Step-by-step explanation:

Given that:

Mean (m) = 10.1

Standard deviation (s) = 2.8

Obtain the following probabilities :

a) less than 10 minutes

P(x < 10)

Z = (x - m) / s

Z = (10 - 10.1) / 2.8

Z = 0.1 / 2.8

Z = 0.0357142

P(Z < 0.357) = 0.6395 ( Z probability calculator)

(b) longer than 5 minutes

P(x > 5)

Z = (x - m) / s

Z = (5 - 10.1) / 2.8

Z = −1.821428

P(Z < - 1.821) = 0.9657 ( Z probability calculator)

(c) between 8 and 15 minutes

P(8 < x < 15)

P(x < 8)

Z = (x - m) / s

Z = (8 - 10.1) / 2.8

Z = − 0.75

P(Z < - 0.75) = 0.22663 ( Z probability calculator)

P(x < 15)

Z = (x - m) / s

Z = (15 - 10.1) / 2.8

Z = 1.75

P(Z < 1.75) = 0.95994 ( Z probability calculator)

P(Z < 1.75) - P(Z < - 0.75)

0.95994 - 0.22663 = 0.7333

Todd has been helping his grandmother vanilla ice cream. Yesterday morning they made 4.5 quarts of ice cream. They are going to store the ice
cream in pint sized containers to place in the freezer.
Calculate how many pint-sized containers Todd needs to store 4.5 quarts of ice cream.
Todd will need
pint-sized containers to store 4.5 quarts of ice cream

Answers

Answer:

Todd will need 9 pint-sized containers to store 4.5 quarts of ice cream.

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