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
zhannawk [14.2K]
3 years ago
5

What are the approximate solutions of 4x^2 + 3 = -12x to the nearest hundredth

Mathematics
2 answers:
iVinArrow [24]3 years ago
4 0
Approximate solutions are

X subset 2 is approximately equal to -2.72

X subset 1 is approximately equal to -0.28
shutvik [7]3 years ago
4 0

Hello from MrBillDoesMath!

Answer:    -.28 and   -2.72

Discussion:

This is a quadratic equation (where a = 4, b +12, and c = 3 using the standard notation involved in the solution)

4x^2 + 3= -12x  =>   (given). Add 12x to both sides

4x^2 + 12x + 3 = 0.


From the quadratic formula:

x =   ( -12 +\- sqrt ( 12^2 - 4(4)(3) )    )/ (2 * 4)

x =   ( -12 +\- sqrt (144 -48))/ (2 * 4)      

x =  ( -12 +\- sqrt (96))  / (2 * 4)    

x = ( -12 +\- sqrt(16*6) ) / (2 * 4)


The "+" solution,    x = -12/8  + ( 4 /8)sqrt(6) =  -3/2 + 1/2 (sqrt(6)) =  -.28

The "-" solution     x = -12/8  -  ( 4 /8)sqrt(6)  =  -3/2 - 1/2 (sqrt(6)) = -2.72


Regards,

MrB

You might be interested in
A car starts from rest and accelerates for 6.2 seconds for a total of 160m. What is the acceleration of the car
Nat2105 [25]

Answer:

8.32 m/s^2

Step-by-step explanation:

Hope this helps it.

3 0
2 years ago
Write in standard form. m is undefined passing through P(-6,-5)
Anna007 [38]

ANSWER: The equation of a line in slope-intercept form looks like the following:   y = mx + b

where m is the slope of the line and b is the y-intercept.

Given any 2 points (x1, y1) and (x2, y2) on a line, the slope (m) = (y2-y1)/(x2-x1).

So, Whenever the slope (m) is undefined it means that when you try to calculate the slope given any 2 points on the line you'll end up with a zero in the denominator, which is undefined. That is, with an undefined slope you end up with a vertical line, which has the equation "x=some number".

 m = (y2-y1)/(x2-x1) = (y2-y1)/0 = undefined. This implies that x2=x1. So x is the same for any value of y on the line, which is why the equation is "x=some number" and the line is vertical. 

So the equation of a line, in slope-intercept form, with an undefined slope (m=undefined) crossing through the point (-3, 5) is:   x= -3 , which is a vertical line. 

Hope this helps you
4 0
3 years ago
I don't get this...can someone help me "perform the indicated operation" ?<br> 9 15/22 - 3 2/11
Nadusha1986 [10]
Nevermind. This answer is 6.5
3 0
3 years ago
Read 2 more answers
What is the equivalent expression for 80+20n?
Shkiper50 [21]

Answer:

100N

Step-by-step explanation:

BC 80+20=100. THEN ADD THE N AND YOU GET 100N

8 0
2 years ago
Please help me with this
erica [24]

Answer:

SAS

Step-by-step explanation:

be carful, don't exactly know if sas is right

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the volume of the composite figure? Use 3.14 for π and round the answer to the nearest tenth of a cubic unit.
    8·2 answers
  • I neee help with my division imma stuck
    8·2 answers
  • What was theThere was a pie-eating contest at the county fair. The 10 contestants were given 2 minutes to eat as many pieces of
    8·2 answers
  • Solve for y. Then find the values of y that correspond
    14·1 answer
  • Jason plotted points on a numer line at the four values below. Which of these values is farthest from zero?
    6·1 answer
  • (Giving 100 pts, help fast!!!) Four congruent square pieces with lengths of sides of 6 cm were cut out of corners of a square pi
    6·2 answers
  • How to solve this problem im not getting a good answer
    9·2 answers
  • The triangles are similar.
    10·1 answer
  • Which set best describes the numbers used on the scale for a standard thermometer?
    9·1 answer
  • The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!