The Answer
LCD = 12
Equivalent Fractions with the LCD
2/3 = 8/12
3/4 = 9/12
1/2 = 6/12
Solution:
Rewriting input as fractions if necessary:
2/3, 3/4, 1/2
For the denominators (3, 4, 2) the least common multiple (LCM) is 12.
LCM(3, 4, 2)
Therefore, the least common denominator (LCD) is 12.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
2/3 = 2/3 × 4/4 = 8/12
3/4 = 3/4 × 3/3 = 9/12
1/2 = 1/2 × 6/6 = 6/12
Hope This Was Helpful :D
Answer:
£600
Step-by-step explanation:
First take if 110% equals to £660 what about 100%
100×660 =66000 ÷ 110 =£600
Answer:
you'll look back on this and say how easy this is you got it. but for today the bottom one is (3,0) the middle one is (2,3) and the top one is (4,4)
<u>We are given the equation:</u>
log₂(x-3) + log₂x - log₂(x+2) = 2
<u>When is it defined:</u>
in this equation, log₂(x-3) and log₂(x+2) can only be defined when
x-3 >0 and x+2 > 0
solving for the values of x, we get:
x > 3 and x > -2
which basically means x > 3
<em>Because we are looking for an inequality which is true for both x>-2 and x>3</em>
Hence, x will have a value greater than 3
<u>Solving for x:</u>
using the product rule <em>[logₐb + logₐc = logₐ(bc)]</em>
log₂[(x-3)(x)] - log₂(x+2) = 2
using the quotient rule <em>[logₐb - logₐc = logₐ(b/c)]</em>
log₂[(x-3)(x) / (x+2)] = 2
from the property <em>[ aˣ = b ⇒ logₐb = x]</em>
(x² - 3x) / (x+2) = 2²
x² - 3x = 4x + 8
x² - 7x - 8 = 0
x² + x - 8x - 8 = 0
x(x+1) - 8(x+1) = 0
(x-8)(x+1) = 0
(x-8) = 0 OR (x+1) = 0
x = 8 OR x = -1
We know that the equation is defined only for x > 3
We can see that x = 8 satisfies that inequality
Therefore, x = 8
The 2nd option.
Because the equation is a real numbers is x = all.
