Simplify each term.
1/2X - 1/3Y
Combine 1/2x and −1/3y using a common denominator.
To write −1/3y as a fraction with a common denominator, multiply by 2x/2x.
(1 / 2x )(3y / 3y) + (−1 / 3y) (2x / 2x)
Write each expression with a common denominator of 6xy, by
multiplying each by an appropriate factor of 1.
1 (3y)/6xy − 1 (2x)/6xy
Combine the numerators over the common denominator.
1(3y) − (1(2x))/6xy
Simplify the numerator.
3y−(1(2x))/6xy
<span>Simplify.
</span>3y−(2x)/6xy
<span><span>3y−2x/</span><span>6xy</span></span>
Simplify with factoring<span> out.
</span>
Reorder <span>3y</span><span> and </span><span><span>−2x</span>.</span>
<span><span>−2x+3y/</span><span>6xy</span></span><span>
</span>
Factor <span>−1</span><span> out of </span><span><span>−2x</span>.</span>
<span><span>−1(2x)+3y/</span><span>6xy</span></span>
Factor <span>−1</span><span> out of </span><span><span>3y</span>.</span>
<span><span>−1(2x)−1(−3y)/</span><span>6xy</span></span><span>
</span>
Factor <span>−1</span><span> out of </span><span><span>−1(2x)−1(−3y)</span>.</span>
<span>−1(2x−3y)/</span><span>6xy
</span>Move the negative in front of the fraction<span>.
</span>
<span>−<span><span>2x−3y/</span><span>6xy</span></span></span><span>
</span>
Answer:
D) X >= to -1
Step-by-step explanation:
Since the dot on -1 is filled in, -1 is included. The arrow points to the right, implying that X is greater than or equal to -1.
We have that
<span>the function of the line is
3x-3y=9
clear y
3x-9=3y
y=(3x-9)/3
y=x-3
for x=2
y=x-3----->y=2-3------> y=-1
the point is (2,-1)
the answer is
the y coordinate is -1</span>
Answer:
56,57,58
Step-by-step explanation:
Just divide 171 by 3 and you get 57. Then its the number in front and behind.
When you add 2 logs together, you get the log of the product.
When you subtract 2 logs, you get the log of the quotient.
Like this:
Ln(2) - Ln(3x+2) is the Ln(2/3x+2) .
So now you have Ln(2/3x+2) = 1
Raise 'e' to the power of
each side of the equation: (2/3x+2) = e¹
Multiply each side by (3x+2): 2 = (e) (3x+2)
Divide each side by 'e': 2/e = 3x + 2
Subtract 2 from each side: (2/e) - 2 = 3x
Divide each side by 3: x = [ (2/e) - 2 ] / 3
= approx. -0.421... (rounded)
I checked this by writing it into the original equation in place of 'x'.
That took my about 5 tries, but it finally checked OK.
Please. DON't use my answer unless you understand
where it came from.
