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
ryzh [129]
3 years ago
12

What are the solutions of 3x^2 + 14x + 16 = 0?

Mathematics
2 answers:
Vlad1618 [11]3 years ago
8 0
The solution is :
x= -8/3 , -2
Murrr4er [49]3 years ago
3 0

Answer:

The correct option is A) x = -8/3, –2.

Step-by-step explanation:

Consider the provided equation 3x^2 + 14x + 16 = 0

The above equation is in the form of ax^2 +bx + c = 0

The quadratic formula to find the root of the equation is:

{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}\ \ }

By comparing the above equation with the general equation we can conclude that:

<em>a</em> = 3, <em>b</em> = 14, and <em>c</em> = 16

Substitute the respective values in the above formula:

{\displaystyle x={\frac {-14\pm {\sqrt {14^{2}-4(3)(16)}}}{2(3)}}\ \ }

{\displaystyle x={\frac {-14\pm {\sqrt {196-192}}}{6}}\ \ }

{\displaystyle x={\frac {-14\pm {\sqrt {4}}}{6}}\ \ }

{\displaystyle x={\frac {-14\pm2}{6}}\ \ }

{\displaystyle x={\frac {-14+2}{6}}\ \ } or\ {\displaystyle x={\frac {-14-2}{6}}\ \ }

{\displaystyle x={\frac {-12}{6}}\ \ } or\ {\displaystyle x={\frac {-16}{6}}\ \ }

{\displaystyle x=-2}\ \ } or\ {\displaystyle x={\frac {-8}{3}}\ \ }

Hence the solutions of the provided equation is {\displaystyle x=-2}\ \ } or\ {\displaystyle x={\frac {-8}{3}}\ \ }.

Thus, the correct option is A) x = -8/3, –2.

You might be interested in
You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-
Tema [17]

Answer:

gregefdsgdsfgdfdgddg

Step-by-step explanation:

8 0
2 years ago
Michael’s grandmother made two pies for Thanksgiving, a sweet potato pie and a chocolate pie. Each pie had 8 slices. All of the
Kisachek [45]
Think it's B or A if they want it simplified.
4 0
3 years ago
what is the volume of a cylinder with height of 9 inches and the the radius is 1 inch. round to the nearest cubic inch
poizon [28]

Answer:

Step-by-step explanation:

Volume of cylinder can be calculated by using the formula V= pir^2h

Where r is radius of cylinder and h is the height.

A cylinder with radius 1 inch and height of 9 inch is given.

r=1,h=1,π=3.14.

Substituting the given values :

V=πr2h=π·12·9≈28.27433

Volume of cylinder rounded to nearest tenth is 28.27 cubic inches .

6 0
3 years ago
Someone please help my with my geometry test?!!!
jenyasd209 [6]

Answer:

what is the question

Step-by-step explanation:

6 0
2 years ago
Which of the following is true?
VARVARA [1.3K]

Answer:

The correct option is c which is if this test was one-tailed instead of two-tailed, you would reject the null.

Step-by-step explanation:

a: This statement cannot be true as the p-value for a 1 tailed test is dependent on the level of significance and other features.

b: This statement cannot be true as there is no valid mathematical correlation between the p-value of the one-tailed test and the current p-value.

c: This statement is true because due to the enhanced level of significance, the null hypothesis will not be rejected.

d: This statement is inverse of statement c which cannot be true.

e: The statement cannot be true as there is no correlation between the current p-value and the p-value of 1 tailed test. The correlation exists between the values of one-tailed and two-tailed p-values.

8 0
2 years ago
Other questions:
  • I Nisa buy dollars worth of stock and gained $25 per year Kevin bad for hundred dollars worth of stock in the last $35 per year
    11·1 answer
  • Which equation Can pair with x-y=-2 to create a consistent and dependent system
    9·2 answers
  • Find the value of x. Round to the nearest tenth of a unit. Both 9 and 10 please.
    6·1 answer
  • How many times is six going to 102
    5·1 answer
  • 136+12x=-4(1-2x) simplify
    6·1 answer
  • What is the slope of the line that passes through the points (-9, -8)((−15,−16)? Write your answer in simplest form.
    11·1 answer
  • Haley's car gets at least 18 miles per gallon. She is planning a trip that is 200 miles.
    5·2 answers
  • Help,, i'll mark as brainliest
    15·1 answer
  • You own 3/5 of the coins in a collection. What percent of the coins do you own?​
    6·2 answers
  • I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!