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
stepladder [879]
3 years ago
11

How can I isolate x in y=6x-2x²

Mathematics
1 answer:
ozzi3 years ago
8 0

Answer:

x = 3/2 ± √(9/4 − 1/2 y)

Step-by-step explanation:

y = 6x − 2x²

First, factor out the leading coefficient:

y = -2 (x² − 3x)

Complete the square.

y = -2 (x² − 3x + 9/4 − 9/4)

y = -2 (x² − 3x + 9/4) + 9/2

y = -2 (x − 3/2)² + 9/2

Solve for x.

-1/2 y = (x − 3/2)² − 9/4

9/4 − 1/2 y = (x − 3/2)²

±√(9/4 − 1/2 y) = x − 3/2

x = 3/2 ± √(9/4 − 1/2 y)

You might be interested in
BRAINLIESTTTT ASAP! PLEASE ANSWER
iren [92.7K]
H(t) = −16t^2 + 75t + 25
g(t) = 5 + 5.2t

A)
At 2, h(t) = 111, g(t) = 15.4
At 3, h(t) = 106, g(t) = 20.6
At 4, h(t) = 69, g(t) = 25.8
At 5, h(t) = 0, g(t) = 31
The heights of both functions would have been the closest value to each other after 4 seconds, but before 5 seconds. This is when g(x) is near 30 (26-31), and the only interval that h(t) could be near 30 is between 4 and 5 seconds (as it is decreasing from 69-0).

B) The solution to the two functions is between 4 and 5 seconds, as that is when their height is the same for both g(t) and h(t). Actually the height is at 4.63 seconds, their heights are both
What this actually means is that this time and height is when the balls could collide; or they would have hit each other, given the same 3-dimensional (z-axis) coordinate in reality.

6 0
3 years ago
Read 2 more answers
What is the value of 56.13?
SpyIntel [72]

Answer:

The value is Approximately 56

8 0
4 years ago
Read 2 more answers
Hey guys I have a hard time with these questions. Can someone explain it to me? :)
frutty [35]
The slope would be 0

This is basically how you do it if you need more help let me know

6 0
3 years ago
Read 2 more answers
What is the point of intersection of the x-axis and the y-axis called
tester [92]

That is called the Origin , where the number 0 is.

6 0
3 years ago
Read 2 more answers
The cars access code has four digits first digit cannot be zero and the last digit must be even
arlik [135]
There's 9 choices for the first digit and 4 choices for the last digit. The number of choices for the 2nd and 3rd digits is 90 if 2 numbers are different. or 100 if duplicates are allowed.

If duplicates are allowed the answer is 9 * 100 * 4 = 3600 possible numbers.
4 0
3 years ago
Other questions:
  • A sample of 100 women is​ obtained, and their heights​ (in inches) and pulse rates​ (in beats per​ minute) are measured.
    10·1 answer
  • How do u turn 2.15 to a fraction
    8·2 answers
  • Can u plz help with 30 and 31?
    7·1 answer
  • The Sum of The Angles in a Triangle please dont answer yet have to add attachemnt
    15·2 answers
  • 7x+y^3+7x^3+6x-3y^3-2x^3+3x
    10·1 answer
  • If (x+2)^2+(y-5)^2=25 is the equation of a circle, which statement describes the circle's graph?
    5·1 answer
  • What is the solution of 3x + 5 = 2x - 7?
    11·1 answer
  • Someone please help me find y if you don’t mind Thankyouu so much
    11·1 answer
  • How many yards are in 126 feet?<br><br><br><br> 1 yard = 3 feet
    15·2 answers
  • Which of the following could be the areas of the three squares shown
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!