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
sp2606 [1]
3 years ago
11

What is the maximum answer of the equation

20%3D%200" id="TexFormula1" title="6 {x}^{2} + 11x + 3 = 0" alt="6 {x}^{2} + 11x + 3 = 0" align="absmiddle" class="latex-formula">
?​
Mathematics
1 answer:
ehidna [41]3 years ago
5 0

Answer:

-(1/3)

Step-by-step explanation:

6x² + 11x + 3 = 0

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x_{1,\:2}=\frac{-11\pm \sqrt{11^2-4*6*3}}{2*6\\}\\x_{1} = -\frac{1}{3} \\\\x_{2} = -\frac{3}{2} \\\\-\frac{1}{3} >-\frac{3}{2}

You might be interested in
#89 will give brainliest for best answer!​
Lady_Fox [76]

Answer:

Median: 11

Range: 12

25th Percentile: 9

75th Percentile: 14

Interquartile Range: 5

Step-by-step explanation:

The median is the line in the 'middle' of the box. The range is the largest number minus the smallest number. 25th Percentile is the first line of the box, 75th is 3rd line. IQR is the 75th Percentile - 25th Percentile.

Hope this helps! :)

6 0
2 years ago
11. find the value of x in the kite below.<br> E<br> (6x + 6)<br> F<br> Р<br> G
cluponka [151]

14.

Step-by-step explanation:

6x+6=90 (being a straight line)

6x=90-6

6x=84

x= 84/6

x=14.

8 0
3 years ago
The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes
Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(completing the exam in one hour or less)

P(x < 60)

P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)

Calculation the value from standard normal z table, we have,  

P(x < 60) =0.023= 2.3\%

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%

c) P(completing the exam in more than 90 minutes)

P(x > 90)

P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)

= 1 - P(z \leq 1)

Calculation the value from standard normal z table, we have,  

P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

\dfrac{15.87}{100}\times 60 = 9.52\approx 10

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0
3 years ago
A speed limit of 100 kilometers per hour (kph) is approximately equal to 62 miles per hour (mph). Write an equation relating kil
Kitty [74]
1.) 75 x .62 = 46.5 I multiplied by .62 because the kph to mph ratio is 1:.62
2.) 20 x 1.6 = 32 I multiplied by 1.6 because that's how many km are in a mile.
3 0
3 years ago
Read 2 more answers
a guy wire for a tree is 20 ft long, making a 21 angle with the ground. How far is the base of the tree from a stake anchoring t
evablogger [386]

Answer:

18.7 feet far

Step-by-step explanation:

Based on the information given we can conclude that our set up will be a Right triangle (i.e. one angle is 90°), where the hypotenuse will be denoted by the guy wire of 20ft  and angle of 21° is the angle formed between then hypotenuse and the base (i.e. ground).

Thus we want to find the base length (lets call it x ) of this triangle, so we can use trigonometry as we have one angle and the hypotenuse, as follow:

cos(21)=\frac{adjacent side}{hypotenuse}=\frac{baselength}{guywire}\\\\ cos(21)=\frac{x}{20} \\x=20cos(21)\\x=18.671\\x=18.7ft

So the base is approximately 18.7 feet far from the tree of the anchored wire.

8 0
3 years ago
Other questions:
  • What is the volume of the prism
    14·1 answer
  • how do I find the area of an equilateral triangle given the perimeter of 60 and the height of 17.3 cm?
    9·1 answer
  • You run 18 miles in 2 hours and 45 miles in 5 hours how fast are you running
    14·2 answers
  • Write an equation for each line that contains the given pair of points. (-6,1) (2,3)
    11·1 answer
  • Solve: (3w + 4) (2w – 7) = 0
    13·2 answers
  • Consider the polynomial function g(x)=-10x^7-9x^5+7x^3-8x.
    10·2 answers
  • Help Me with this please
    9·1 answer
  • PLEASE HELP ME ANSWER THIS IT WILL HELP A LOT THANK YOU ​
    11·2 answers
  • Find the value of m &lt; 7 .
    12·2 answers
  • If the limit of f(x) as x approaches 8 is 3, can you conclude anything about f(8)?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!