Answer:
X=-1
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
Starting off with the base equation.
<span><span>x<span>(<span>1−x</span>)</span></span>=<span>−6
</span></span>Simplify both sides of the equation.<span><span><span>−<span>x2</span></span>+x</span>=<span>−6
</span></span>Subtract -6 from both sides.<span><span><span><span>−<span>x2</span></span>+x</span>−<span>(<span>−6</span>)</span></span>=<span><span>−6</span>−<span>(<span>−6</span>)</span></span></span><span><span><span><span>−<span>x2</span></span>+x</span>+6</span>=0
</span>Factor left side of equation.<span><span><span>(<span><span>−x</span>−2</span>)</span><span>(<span>x−3</span>)</span></span>=0
</span>Set factors equal to 0.<span><span><span><span>−x</span>−2</span>=<span><span><span>0 or </span>x</span>−3</span></span>=0</span><span><span>x=<span>−<span><span>2 or </span>x</span></span></span>=3</span>
Answer:
B
Step-by-step explanation:
The area between the curves y = d and y = f(x), between the limits x=a and x=b, is:
∫ₐᵇ (d − f(x)) dx
Alternatively, the area between the curves x = f(y) and x = a, between the limits y = c and y = d, is:
∫ᵈ (f(y) − a) dy
Answer A would give you the area between x = f(y) and the y-axis. It needs to include the − a term to be correct.
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