<span><span><span>2x</span>−1</span>≤<span>x5
</span></span>Let's find the critical points of the inequality.
<span><span><span>2x</span>−1</span>=<span>x^5
</span></span><span><span><span><span>2x</span>−1</span>−<span>x^5</span></span>=<span><span>x^5</span>−<span>x^5 </span></span></span>(Subtract x^5 from both sides)
<span><span><span><span>−<span>x^5</span></span>+<span>2x</span></span>−1</span>=0
</span><span><span><span>(<span><span>−x</span>+1</span>)</span><span>(<span><span><span><span><span>x^4</span>+<span>x^3</span></span>+<span>x^2</span></span>+x</span>−1</span>)</span></span>=0 </span>(Factor left side of equation)
<span><span><span><span>−x</span>+1</span>=<span><span><span><span><span><span>0<span> or </span></span><span>x^4</span></span>+<span>x^3</span></span>+<span>x^2</span></span>+x</span>−1</span></span>=0 </span>(Set factors equal to 0)
<span><span><span>x=<span><span>1<span> or </span></span>x</span></span>=<span><span>0.51879<span> or </span></span>x</span></span>=<span>−<span>1.290649</span></span></span>
Answer:
The circle's diameter is approximately 24.2 cm
Step-by-step explanation:
You can use the Pythagorean theorem to solve this, my realising that the 5cm distance of the chord represends one side of a right triangle, half the chord's length is the other side, and the hypotenuse of the two is the circle's radius. With that we can say:
r = √(11² + 5²)
r = √(121 + 25)
r = √146
Now we can double that to get the diameter:
r = 2√146
r ≈ 24.2
Answer: The sum of the number of angles in a polygon is (n-2) * 180, where n is the number of sides, so the sum of the angles of a 17-sided polygon is (17-2) * 180 = 2700.
Step-by-step explanation:
Answer: that is equivalent to 447
Step-by-step explanation:
