Answer:
<span>=3<span>√6</span>−3<span>√5</span></span>
Explanation:
<span>3<span><span>√5</span>+<span>√6</span></span></span>
We rationalise the denominator by multiplying the expression by the conjugate of the denominator. <span><span>√5</span>−<span>√6</span></span>
<span><span>3⋅<span>(<span>√5</span>−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span>
<span>=<span><span>3⋅<span>(<span>√5</span>)</span>+3⋅<span>(−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>
<span>Applying identity
<span><span>(a+b)</span><span>(a−b)</span>=<span>a2</span>−<span>b2</span></span> to the denominator.</span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span><span>(<span>√5</span>)</span>2</span>−<span><span>(<span>√6</span>)</span>2</span></span></span></span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>5−6</span></span></span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>−1</span></span></span>
<span>=−3<span>√5</span>+3<span>√6</span></span>
<span>=3<span>√6</span>−3<span>√<span>5
</span></span></span>
There total revenue was like 7k or something
26' wheel @ 90 rpms = 2,340 inches / min (26 x 90)
2,340 inches / min = 140,400 inches / hour (2,340 x 60)
140,400 inches / hour = 11,700 feet / hour (140,400 / 12)
11,700 feet / hour = approx. 2.216 miles / hour (11,700 / 5,280)
For this case we have the following function:
F (x) = 3x ^ 2 + 6x-24
We observe that it is a quadratic equation.
The graph is therefore a parabola.
Its cut points are:
(-4, 0)
(2, 0)
Answer:
See attached image to see graph of the function
Answer:
Less than 1 3/5: 1 3/5 * 1/3 and 3/4 * 1 3/5
Greater than 1 3/5: 1 2/3 * 1 3/5 and 1 3/5 * 1 1/4
Step-by-step explanation:
1 3/5 * 1/3
Since 1/3 is less than 1 , we are multiplying by less than 1, this will be less 1 3/5
1 2/3 * 1 3/5
1 3/5 * 1 2/3
Since 1 2/3 is greater than 1 , we will get a number greater than 1 3/5
3/4 * 1 3/5
1 3/5 * 3/4
Since 3/4 is less than 1, we will get a number less than 1 3/5
1 3/5 * 1 1/4
Since 1 1/4 is greater than 1 , we will get a number greater than 1 3/5
