1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ddd [48]
4 years ago
15

Find the solution of 4x^2-4x-1=0

Mathematics
1 answer:
just olya [345]4 years ago
4 0

4x^{2} -4x - 1 = 0

To solve for the zeros you can use the quadratic formula:

\frac{-b plus/minus\sqrt{b^{2}-4ac } }{2a}

a = 4

b = -4

c = -1

\frac{-(-4) plus/minus\sqrt{(-4)^{2}-4(4)(-1) } }{2(4)}

\frac{4 plus/minus\sqrt{16+16 } }{8}

\frac{4plus/minus\sqrt{32} }{8}

\frac{4plus/minus4\sqrt{2 } }{8}

\frac{1 plus/minus\sqrt{2} }{2}

Hope this helped!

~Just a girl in love with Shawn Mendes

You might be interested in
The time it takes a customer service complaint to be settled at a small department store is normally distributed with a mean of
noname [10]

Answer:

0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 10 minutes and a standard deviation of 3 minutes

This means that \mu = 10, \sigma = 3

Find the probability that a randomly selected complaint takes more than 15 minutes to be settled.

This is 1 subtracted by the p-value of Z when X = 15, so:

Z = \frac{X - \mu}{\sigma}

Z = \frac{15 - 10}{3}

Z = 1.67

Z = 1.67 has a p-value of 0.9525.

1 - 0.9525 = 0.0475.

0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.

5 0
3 years ago
Use the Distributive Property to multiply. –5(2x – 5)\
Basile [38]

Answer:

-10x +25

Step-by-step explanation:

–5(2x – 5)

Distribute

-5 * 2x - (-5) * 5

-10x +25

4 0
3 years ago
Read 2 more answers
The Sandwich Shoppe offer ham, beef, and turkey with potato salad, tossed salad or Cole slaw and ice cream, pie or cake. How man
777dan777 [17]
27, you do 3 for the meat then multiply that times 3 for the salad then times that total times 3 for the desert
8 0
3 years ago
Read 2 more answers
1. The national mean (μ) IQ score from an IQ test is 100 with a standard deviation (s) of 15. The dean of a college wants to kno
Nat2105 [25]

Answer:

We conclude that the mean IQ of her students is different from the national average.

Step-by-step explanation:

We are given that the national mean (μ) IQ score from an IQ test is 100 with a standard deviation (s) of 15.

The dean of a college want to test whether the mean IQ of her students is different from the national average. For this, she administers IQ tests to her 144 students and calculates a mean score of 113

Let, Null Hypothesis, H_0 : \mu = 100 {means that the mean IQ of her students is same as of national average}

Alternate Hypothesis, H_1 : \mu\neq 100  {means that the mean IQ of her students is different from the national average}

(a) The test statistics that will be used here is One sample z-test statistics;

               T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ N(0,1)

where, Xbar = sample mean score = 113

              s = population standard deviation = 15

             n = sample of students = 144

So, test statistics = \frac{113-100}{\frac{15}{\sqrt{144} } }

                             = 10.4

Now, at 0.05 significance level, the z table gives critical value of 1.96. Since our test statistics is more than the critical value of z which means our test statistics will fall in the rejection region and we have sufficient evidence to reject our null hypothesis.

Therefore, we conclude that the mean IQ of her students is different from the national average.

3 0
4 years ago
5th grade math help me plz
kakasveta [241]

Answer:

748917

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Other questions:
  • Find the value of y for which line a is parallel to line b
    9·1 answer
  • What are 2 numbers that add to 16 and multiply to 10
    11·1 answer
  • Please math help 10-2m=20
    7·2 answers
  • 4x-29=5x-9 What is the answer to this, I keep getting -20 and i feel like thats wrong. (solve for x)
    6·1 answer
  • Identify is this is percent increase or percent decrease, then calculate percentage
    6·1 answer
  • PLEASE HELP QUICK DUE SOON
    7·1 answer
  • Plzzzzzzzzzz thanks for the helpp
    12·2 answers
  • Help me please thank you
    13·1 answer
  • Mai has 4 CDs that she is going to give away. She lets her best friend choose 3 of the 4 CDs. How many different groups of 3 CDs
    13·1 answer
  • I am in high school in sxhool form an i just don't understand how to do BMI ( body mass index ) no matter how much i try paying
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!