Let's simplify step-by-step.
<span><span>9−x</span>−<span>(<span>7+x</span>)
</span></span>Distribute the Negative Sign:
<span>=<span><span>9−x</span>+<span><span>−1</span><span>(<span>7+x</span>)
</span></span></span></span><span>=<span><span><span><span>9+</span>−x</span>+<span><span>(<span>−1</span>)</span><span>(7)</span></span></span>+<span><span>−1</span>x
</span></span></span><span>=<span><span><span><span><span><span>9+</span>−x</span>+</span>−7</span>+</span>−x
</span></span>Combine Like Terms:
<span>=<span><span><span>9+<span>−x</span></span>+<span>−7</span></span>+<span>−x
</span></span></span><span>=<span><span>(<span><span>−x</span>+<span>−x</span></span>)</span>+<span>(<span>9+<span>−7</span></span>)
</span></span></span><span>=<span><span>−<span>2x</span></span>+2
</span></span>Answer:
<span>=<span><span>−<span>2x</span></span>+<span>2</span></span></span>
Where is the rest you cut it off
2x+x=78! 2x- Saturday x- Sunday Now solve for x! 3x=78 x=26! Reese read 26 pages on Sunday!
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
