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
KATRIN_1 [288]
3 years ago
7

(3x - 2)^5 =(3x - 2)^2

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

x=3/2,1

Step-by-step explanation:Given

(3x-2)ˆ5-(3x-2)ˆ2=0

(3x-2)ˆ3(3x-2)ˆ2-(3x-2)ˆ2=0

(3x-2)ˆ2{(3x-2)ˆ3-1}=0

(3x-2)ˆ2=0 Or (3x-2)ˆ3-1=0

3x-2=0 Or(3x-2)ˆ3=1

x=3/2 Or 3x-2=1, x=1

You might be interested in
Use the x-intercept method to find all real solutions of the equation.
elixir [45]

Answer:

I believe it would be D.

Step-by-step explanation:

3 0
3 years ago
Match the circle equations in general form with their corresponding equations in standard form. Not all will be used. 
Xelga [282]
<span>The standard form of the equation of a circumference is given by the following expression:

</span>(x-h)^{2}+(y-k)^{2}=r^{2} \\ \\ where \ (h, k) \ is \ the \ center \ of \ the \ circumference \ and \ r \ the \ radius
<span>
On the other hand, the general form is given as follows:

</span>x^{2}+y^{2}+Dx+Ey+F=0 \\ \\ where: \\ D=-2h, \ E=-2k, \ F=h^{2}+k^{2}-r^{2}<span>

In this way, we can order the mentioned equations as follows:

Equations in Standard Form:

</span>\bold{a)} \ (x-6)^{2}+(y-4)^{2}=56 \\ \bold{b)} \ (x-2)^{2} + (y+6)^{2}=60 \\ \bold{c)} \ (x+2)^{2}+(y+3)^{2}=18 \\ \bold{d)} \ (x+1)^{2}+(y-6)^{2}=46

Equations in General Form:

\bold{1)} \ x^{2}+y^{2}-4x+12y-20=0 \\ \bold{2)} \ x^{2}+y^{2}+6x-8y-10=0 \\ \bold{3)} \ 3x^{2}+3y^{2}+12x+18y-15=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 3, \ the \ equation \ becomes: \\ x^{2}+y^{2}+4x+6y-5=0 \\ \\ \bold{4)} \ 5x^{2}+5y^{2}-10x+20y-30=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 5, \ the \ equation \ becomes: \\ x^{2}+y^{2}-2x+4y-6=0 \\ \\ \bold{5)} \ 2x^{2}+2y^{2}-24x-16y-8=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 2, \ the \ equation \ becomes: \\ x^{2}+y^{2}-12x-8y-4=0

\bold{6)} \ x^{2}+y^{2}+2x-12y

So let's match each equation:

\bold{From \ a)} \\ \\ (h,k)=(6,4),\ r=2\sqrt{14} \\ D=-12, \ E=-8 \\ F=-4

Then, its general form is:

x^{2}+y^{2}-12x-8y-4=0

<em><u>First. a) matches 5) </u></em>

\bold{From \ b)} \\ \\ (h,k)=(2,-6),\ r=2\sqrt{15} \\ D=-4, \ E=12 \\ F=-20

Then, its general form is:

x^{2}+y^{2}-4x+12y-20=0

<em><u>Second. b) matches 1) </u></em>

\bold{From \ c)} \\ \\ (h,k)=(-2,-3),\ r=3\sqrt{2} \\ D=4, \ E=6 \\ F=-5

Then, its general form is:

x^{2}+y^{2}+4x+6y-5=0

<em><u>Third. c) matches 3)</u></em>

\bold{From \ d)} \\ \\ (h,k)=(-1,6),\ r=\sqrt{46} \\ D=2, \ E=-12, \ F=-9

Then, its general form is: x^{2}+y^{2}+2x-12y-9=0

<em><u>Fourth. d) matches 6)</u></em>
6 0
3 years ago
Read 2 more answers
X 2x+24<br> Equation <br> Plz help
Nataly_w [17]

Answer:

x + 2x + 24 = 180 \\ 3x = 180 - 24 \\ 3x = 156 \\ x = 52

8 0
3 years ago
Read 2 more answers
A triangle with equal sides and a square have the same perimeters. The length of a side of the triangle is 2x + 2. The length of
andreev551 [17]

Answer:

x=13

Step-by-step explanation:

3(2x+2)=4(x+8)\\6x+6=4x+32\\2x+6=32\\2x=26\\x=13

3 0
4 years ago
Which of the following lines has a slope of -1/3 and a y-intercept of 6? x - 3y = 6 x + 3y = 18 3y - x = 18
erastovalidia [21]
The second choice is correct, but I believe that either its +1/3 ( in the question) or -3y as that will give you the answer of: y=1/3x+6
3 0
3 years ago
Read 2 more answers
Other questions:
  • describe a real world situation that is modeled by dividing two fractions or mixed numbers help me please
    5·1 answer
  • 20. Find the midpoint between the given points.
    14·1 answer
  • How would you classify the following number?*
    14·1 answer
  • I need help really bad
    6·1 answer
  • A line 8cm Long is measured as 8.04cm. what is the percentage error?​
    15·1 answer
  • What is the circumference (in inches) of a circle with radius of 5 inches? Use 3.14 for n.
    8·2 answers
  • Which of the following graphs represents a function?
    8·2 answers
  • Hi, can anyone help me. Please!
    8·2 answers
  • A ball is thrown in the air from ground level. The height of the ball in meters at time t seconds is given by the function <img
    5·2 answers
  • Do the ratios 4:5 and 13:20 form a proportion?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!