Hey there!
3.14 is Pi but not irrational, as it is a terminating decimal and doesn't go on forever. As long as it terminates and can be expressed as a fraction, it's rational.
Hope this helps!
<u>Answer-</u>
<em>The cubic equation-</em>
<em></em>
<em>Milk consumption in 1994 was </em><em>58.4 pounds.</em>
<u>Solution-</u>
The general form of a cubic model is,
x = input variable = year - 2000 i.e number years after 2000
y = output variable = milk consumed in pounds
Then putting the values from the table,
--------------------------1
-------------2
-------------3
------------4
Solving equations (1), (2), (3) and (4) simultaneously we get,
So, the equation becomes,
In order to get the milk consumption in 1994, putting x=94
Therefore, milk consumption in 1994 was 58.4 pounds.
Use the quadratic formula to find the solutions.<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a</span></span></span>Substitute the values <span><span>a=−1</span><span>a=-1</span></span>, <span><span>b=0</span><span>b=0</span></span>, and <span><span>c=40</span><span>c=40</span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>0±<span>√<span><span>02</span>−4⋅<span>(−1⋅40)</span></span></span></span><span>2⋅−1</span></span><span><span>0±<span><span>02</span>-4⋅<span>(-1⋅40)</span></span></span><span>2⋅-1</span></span></span>Simplify.Tap for fewer steps...Simplify the numerator.Tap for more steps...<span><span>x=<span><span>0±4<span>√10</span></span><span>2⋅−1</span></span></span><span>x=<span><span>0±410</span><span>2⋅-1</span></span></span></span>Simplify the denominator.Tap for more steps...<span><span>x=<span><span>0±4<span>√10</span></span><span>−2</span></span></span><span>x=<span><span>0±410</span><span>-2</span></span></span></span>Simplify <span><span><span>0±4<span>√10</span></span><span>−2</span></span><span><span>0±410</span><span>-2</span></span></span>.<span><span>x=±2<span>√10</span></span><span>x=±210</span></span>The result can be shown in both exact and approximate form.<span><span>x=±2<span>√10</span></span><span>x=±210</span></span><span>x≈6.324555,−<span>6.324555</span></span>
Hello there! So if we are looking for the number of miles in 584 kilometers, then all we have to do is divide, because there are about 1.61 kilometers in 1 mile. Dividing those two numbers of the same unit will help us convert to miles. 584/1.61 is 362.7329193 or 362.73 when rounded to the nearest hundredth. There. There are about 362.73 miles in 584 kilometers.