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
Zigmanuir [339]
3 years ago
9

What is the value of the discriminant in the equation shown below? x^2 -6x +4 =0

Mathematics
1 answer:
irakobra [83]3 years ago
7 0

Answer:

Discriminant = 20

Step-by-step explanation:

We use formula to find the discriminant.

Discriminant (D) = b^2 - 4ac

The given equation is x^2 - 6x + 4 = 0.

Here the value of a = 1, b = -6 and c = 4.

Plug in the given values in the formula, we get

Discriminant (D) = (-6)^2 - 4*1*4

= 36 - 16

Discriminant = 20

Thank you.

You might be interested in
Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed
vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 11-1 = 10.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have T = 1.812

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{4}{\sqrt{11}} = 1.2060

Now, we multiply T and s

M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

L = 97 + 2.19 = 99.19 = 99.2cm

So

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0
3 years ago
Solve the equation: -6p + 14 and 3p - 2
sleet_krkn [62]

Answer:

p = 16/9

Step-by-step explanation:

-6p+14=3p-2\qquad\text{subtract 14 from both sides}\\\\-6p=3p-16\qquad\text{subtract 3p from both sides}\\\\-9p=-16\qquad\text{divide both sides by (-9)}\\\\\boxed{p=\dfrac{16}{9}\to p=1\dfrac{7}{9}}

5 0
2 years ago
Help this makes no sense to me and its due in 1 day
Ganezh [65]

First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.

RT=24

Right Triangle Altitude Theorem Part: The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

The geometric mean of 32 and TS is 24, so set up equation.

2nd root or square root of 32*TS=24

32*TS=576

TS=18

QS=18+32=50

I hope this answer helped if you have any questions feel free  to ask me in the comments.

7 0
2 years ago
As she drove down the icy Road Miss Campbell slammed on her breaks her car did a 360 explain what happened to her car ​
meriva

Answer:

The friction that the car usually uses to stop(a rough and hard ground) was null and void, so the car spun uncontrollably.

3 0
3 years ago
I need help with these two trigonometry problems.
Sloan [31]

Answer:

B \approx 32.1\°; A \approx 39.0\°

Step-by-step explanation:

Sine theorem: in any triangle, the ratio between a side and the sine of the opposite angle is constant

\frac{sin\ \alpha}a = \frac{sin\ \beta}b =\frac{sin\ \gamma}c

In our case, for the left triangle,

\frac {sin\ 103\°}{11} =\frac{sin\ B} 6 \rightarrow sin\ B = \frac6{11} sin\ 103\°

Time to grab a calculator and crunch numbers. Double check your calculator is in degrees and not in radians (plug in sin 30°, if you're getting 0.5 you're good) and you will get

sin\ B \approx 0.53 \rightarrow B \approx 32.1\°

Same difference with the right triangle. With the same calculations

sin\ A = \frac{26}{41} sin 83\° \approx 0.68 \rightarrow A \approx 39.0\°

5 0
1 year ago
Other questions:
  • Geometric mean of 6 and 48
    12·1 answer
  • What is the common ratio in the sequence 6,12,24,48,96<br> A -2<br> B 2<br> C 6<br> D 1/2
    12·1 answer
  • What is the solution for the determinant?
    13·1 answer
  • Which expression is equal to 5x(m-n) <br> 1. (m-5)x(n-5)<br> 2. 5m-5n<br> 3. m-5n
    10·2 answers
  • Find the volume of the triangular prism​
    10·1 answer
  • Plz help me with this thank you
    6·1 answer
  • Please help!! Will give brainliest and more points! (Click on the photo)
    10·1 answer
  • The ratio of sam's age to Hank's age is 5 to 3.if the sum of their ages is 24, how old is Hank?
    15·2 answers
  • A cylinder has a height of 18 feet.
    6·1 answer
  • Convert this number given in standard form into scientific notation. 0. 0000069 What is the value in scientific notation? 0. 69
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!