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
Blababa [14]
3 years ago
6

8x^2 - 2x = 1 quadratic simplification

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Answer:

x = -1/4 = -0.250

Step-by-step explanation:

You might be interested in
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
romanna [79]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
How do I solve this?
maksim [4K]

Answer:

Answer A represents this

x <= -3  ;  x > 9

Step-by-step explanation:

Isolate x on each of the inequalities:

4 x + 4 <= - 8

subtract 4 from both sides

4 x <= - 12

divide both sides by 4 to isolate x completely (notice 4 is positive, so there is NO flipping of the inequality symbol)

x <= -3

This inequality is represented by shading the left section of the number line starting at x = -3 (make sure you draw a SOLID dot to mae clear that the point x = -3 is also included in your drawing.

The other inequality:

11 x - 11 > 88

add 11 to both sides

11 x > 99

divide both sides by 11 to isolate x (notice again that 11 is a positive number, so the inequality doesn't change with the division)

x > 9

This inequality is represented by shadowing the right hand side of the number line starting at x = 9. Make sure you draw an EMPTY dot on the number 9 to indicate that x = 9 is NOT included.

4 0
3 years ago
10 lbs ≈
sergejj [24]

Answer:

D. 4.5 kg

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Not sure what to do here can someone please help
kumpel [21]

Answer:

  x = 2

Step-by-step explanation:

These equations are solved easily using a graphing calculator. The attachment shows the one solution is x=2.

__

<h3>Squaring</h3>

The usual way to solve these algebraically is to isolate radicals and square the equation until the radicals go away. Then solve the resulting polynomial. Here, that results in a quadratic with two solutions. One of those is extraneous, as is often the case when this solution method is used.

  \sqrt{x+2}+1=\sqrt{3x+3}\qquad\text{given}\\\\(x+2)+2\sqrt{x+2}+1=3x+3\qquad\text{square both sides}\\\\2\sqrt{x+2}=(3x+3)-(x+3)=2x\qquad\text{isolate the root term}\\\\x+2=x^2\qquad\text{divide by 2, square both sides}\\\\x^2-x-2=0\qquad\text{write in standard form}\\\\(x-2)(x+1)=0\qquad\text{factor}

The solutions to this equation are the values of x that make the factors zero: x=2 and x=-1. When we check these in the original equation, we find that x=-1 does not work. It is an extraneous solution.

  x = -1: √(-1+2) +1 = √(3(-1)+3)   ⇒   1+1 = 0 . . . . not true

  x = 2: √(2+2) +1 = √(3(2) +3)   ⇒   2 +1 = 3 . . . . true . . . x = 2 is the solution

__

<h3>Substitution</h3>

Another way to solve this is using substitution for one of the radicals. We choose ...

  u=\sqrt{x+2}\qquad\text{requires $u\ge0$}\\\\u^2-2=x\qquad\text{solve for x}\\\\u+1=\sqrt{3(u^2-2)+3}\qquad\text{substitute for x in the original equation}\\\\(u+1)^2=3u^2-3\qquad\text{square both sides, simplify a little}\\\\2u^2-2u-4=0\qquad\text{subtract $(u+1)^2$}\\\\2(u-2)(u+1)=0\qquad\text{factor}

Solutions to this equation are ...

  u = 2, u = -1 . . . . . . the above restriction on u mean u=-1 is not a solution

The value of x is ...

  x = u² -2 = 2² -2

  x = 2 . . . . the solution to the equation

_____

<em>Additional comment</em>

Using substitution may be a little more work, as you have to solve for x in terms of the substituted variable. It still requires two squarings: one to find the value of x in terms of u, and another to eliminate the remaining radical. The advantage seems to be that the extraneous solution is made more obvious by the restriction on the value of u.

6 0
1 year ago
The Grade 8 learners decided to start living more healthily. They will either jog or cycle.
liberstina [14]

Step-by-step explanation:

(125/5)×3=75

75 participate jogging

25×2=50

50 participate in cycling

6 0
3 years ago
Other questions:
  • How many garbage cans should be placed in each campground? Explain how you can use addition or multiplication to find the answer
    14·1 answer
  • There are nine hundred eighty-five thousand, four hundred five people who watched a recent video on
    6·2 answers
  • Write y=-2/3x-4 in standard form using integers
    12·1 answer
  • What type of transformation is shown​
    12·1 answer
  • -8.1 =v/7 + 3.1 what is v
    5·1 answer
  • Which equation has a graph that is a parabola with a vertex at (-1, -1)?
    6·1 answer
  • 24 point question
    5·1 answer
  • Riley's monthly bank statement showed the following deposits and withdrawals:
    5·1 answer
  • 1. How far does a car travel if it's 16-inch wheel rotates 3 times?<br><br><br>HELP!​
    9·1 answer
  • Flying against the wind, an airplane travels 3920 kilometers in 8 hours. Flying with the wind, the same plane travels 5580 kilom
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!