Step-by-step explanation:
x+5y×4+x×3y+4
5xy×4x+3xy+4
27xy^2
Answer:
x > -5/8
Step-by-step explanation:
Simplify by combining x and 4/5 and then moving 4 to the left side of x
-x * 4/5 + 3/10 < 8/10
-4x/5 + 3/10 < 8/10
Now we cancel the common factor of 8 and 10.
Factor 2 out of 8
-4x/5 + 3/10 < 2(4)/10
2 from 10
-4x/5 + 3/10 < 4/5
Now move all the terms not containing x to the right side
Lets subtract 3/10 from both sides
-4x/5 < 4/5 - 3/10
Now we multiply by 2/2 to write 4/5 with a common denomi.
-4x/5 < 4/5 * 2/2 - 3/10
Now write with a common denom of 10 and multiply by 1
-4x/5 < 4*2/5 * 2 - 3/10
5 by 2
-4x/5 < 4 * 2/10 - 3/10
Combine
-4x/5 < 4 * 2 - 3/10
Simplify the numerator by multiplying then subtracting
-4x/5 < 8 - 3/10
-4x/5 < 5/10
Cancel the common factor of 5 and 10...
-4x/5 < 5(1)/10
-4x/5 5* 1/5 * 2
-4x/5 < 1/2
Now we divide by -1
-4x/5)/-1 > 1/2)/-1
4x/5 > 1/2)-1
4x/5 > -1/2
Multiply both sides by 5 and cancel common factors. (5)
4x * 5 > -1/2 * 5
4x > -1/2 * 5
4x > -5/2
Now divide by 4 in each term
4x/4 > -5/2)/4
x > -5/2)/4
Multiply the numer by the reciprocal of the denom
x > -5/1 * 1/4
x > -5/4 * 2
x > -5/8
Below is step-by-step in how i got my answer.<span>6.3−<span>2<span>(<span><span>1.5c</span>+4.1</span>)</span></span></span>Distribute:<span>=<span><span>6.3+<span><span>(<span>−2</span>)</span><span>(<span>1.5c</span>)</span></span></span>+<span><span>(<span>−2</span>)</span><span>(4.1)</span></span></span></span><span>=<span><span><span><span>6.3+</span>−<span>3c</span></span>+</span>−8.2</span></span>Combine Like Terms:<span>=<span><span>6.3+<span>−<span>3c</span></span></span>+<span>−8.2</span></span></span><span>=<span><span>(<span>−<span>3c</span></span>)</span>+<span>(<span>6.3+<span>−8.2</span></span>)</span></span></span><span>=<span><span>−<span>3c</span></span>+<span>−1.9</span></span></span><span>Your answer is in Bold
~Good Luck~</span>
Note that both the numerator and denominator approach 0 as
, so we can try using L'Hopital's rule.
The denominator is nonzero at
, so the limit is equivalent to
<span>2x + x</span>²<span> + 3x + 5x</span>²<span> - 10x (combine like terms)
6x</span>² + 5x -10x
6x² - 5x
which is the same as
-5x +6x²
Your answer is C
