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
juin [17]
2 years ago
10

Solve each equation. Identify the solutions as rational or irrational numbers.

Mathematics
1 answer:
Fiesta28 [93]2 years ago
6 0

\textbf{a)}\\\\~~~~~~~x(3x-4)=5\\\\\implies 3x^2 -4x = 5\\\\\implies 3x^2 -4x=5\\\\\implies x^2 - \dfrac 43 x = \dfrac 53\\ \\\implies x^2 - 2\cdot \dfrac 23 \cdot x + \left( \dfrac 23 \right)^2 - \left( \dfrac 23 \right)^2 =  \dfrac 53\\\\\implies \left(x-\dfrac  23 \right)^2 = \dfrac 53 + \dfrac 49\\\\\implies \left(x-\dfrac  23 \right)^2= \dfrac{19}{9}\\\\\implies x- \dfrac 23 =  \pm\dfrac{\sqrt{19}}3\\\\\implies x=\dfrac 23 \pm\dfrac{\sqrt{19}}3\\\\

\text{The solutions are irrational.}\\\\\\\textbf{b)}\\\\~~~~~~~(3x-2)^2 = \dfrac 14\\\\\implies 3x -2 = \pm \dfrac 12\\\\\implies  3x = 2\pm  \dfrac 12\\\\\implies x = \dfrac 23 \pm \dfrac 16\\\\ \implies x = \dfrac 56 ,~~ x =\dfrac 12 \\ \\\text{The solutions are  rational .}

You might be interested in
6 Which equation has a solution of s = 9.5 ? F -5s = -47.5 G -3 + s = 12.5 H --2s 19 J –1 + s = 10.5​
earnstyle [38]

Answer:

F. -5s = -47.5

Step-by-step explanation:

F. -5s = -47.5

s = -47.5 / -5

s =  9.5

This is the correct option

G. -3 + s = 12.5

s = 12.5 + 3

s = 15.5 (Incorrect option)

J. –1 + s = 10.5​

s = 10.5 + 1

s = 11.5 (Incorrect option)

5 0
3 years ago
Please help! <br><br> ~I WILL MARK BRAINLIEST!~
likoan [24]
I’m pretty sure it is B
Hope I helped.
6 0
2 years ago
Read 2 more answers
A small bottle of lemonade is half the size of a large bottle. The small bottle costs 80p and the large bottle costs £1.50. Amir
Leni [432]

80p = 80 cents

£1.50 = $1.50.

(changing the signs, that's it)

So if a small bottle is half the size of a large bottle, and is 80 cents.

Amir buys 4 bottles, so 0.80 * 4 = 320 = $3.20.

Now 4 small bottles is the same as 2 large ones, so if he bought 2 large bottles: $1.50 * 2 = $3.00.

$3.20 - $3.00 = 0.20 cents.

Amir would've saved 0.20

P.S. What is "p" in European money

4 0
3 years ago
Read 2 more answers
What is a linear function on a graph
JulijaS [17]

Answer:

Step-by-step explanation:

A straight line that has one independent variable and one dependant variable.

6 0
3 years ago
Read 2 more answers
Can somebody help me with this math problem?
Travka [436]

Answer:

integer and rational

Step-by-step explanation:

hfjbawenjrcuwit3wrjm3iowrmkfw3klarmfwesdjkncfkelrnmfKWCNRQJWKSRNCJKWrnq

4 0
3 years ago
Other questions:
  • Four points are always coplanar if: Check all that apply. A. all of them are collinear B. they are not in the same plane. C. thr
    7·1 answer
  • Which shape has the same volume as the given rectangular prism?<br><br><br><br><br><br> Thank you!
    5·2 answers
  • What is 12.3 + 4.7 estimate sum and difference
    14·2 answers
  • Find the range of the following data. Scores:81,79,80,88,72,96,86,73,79,88
    9·1 answer
  • Water has a density of 1.00g/cm^3 per cubic centimeter. What is the mass of half a liter of water?
    15·1 answer
  • Please help me dontz understand em'.
    15·1 answer
  • The number of students in a chess club decreased from 27 to 11. What is
    7·1 answer
  • IM GIVING BRAINLIEST!!PLEASE HELP!!
    10·1 answer
  • Which value of p is a solution to p x 1/3=6
    12·1 answer
  • Multiple choice geometry help trig ?!!!!!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!