Answer:
<u>The equations for each function:</u>
- A(t) = 60 - 6t
- B(t) = 42 - 3t
<em>The lines plotted, see attached</em>
<u>The point at which both the snowmen have same height:</u>
- 60 - 6t = 42 - 3t
- 6t - 3t = 60 - 42
- 3t = 18
- t = 6
<u>The required interval is </u>
(tan(<em>x</em>) + cot(<em>x</em>)) / (tan(<em>x</em>) - cot(<em>x</em>)) = (tan²(<em>x</em>) + 1) / (tan²(<em>x</em>) - 1)
… = (sin²(<em>x</em>) + cos²(<em>x</em>)) / (sin²(<em>x</em>) - cos²(<em>x</em>))
… = -1/cos(2<em>x</em>)
Then as <em>x</em> approaches <em>π</em>/2, the limit is -1/cos(2•<em>π</em>/2) = -sec(<em>π</em>) = 1.
<u><em>PART A</em></u>
If 4 pounds = 10 dollars...
4/2 = 2
10/2 = 5
<u>So for 2 pounds, it would cost </u><u>$5.00</u>
Now for the 1 pound one
4/1 = 4
10/4 = 2.5
<u>For the 1 pound one, it would cost </u><u>$2.50</u>
<u></u>
<u><em>PART B</em></u>
We know that 4 pounds = 10 bucks
Since 1 is 1/10 of 10 (in the cost section), we have to apply this to the pounds section. 4/10 = 0.4. Therefore, <u>$1 = 0.4lb</u>
Now for the last blank...
Since $1 = 0.4, we multiply that by 9. 0.4 x <u>$9 = 3.6lb</u>
<u></u>
<em>HOPE THIS HELPED</em>
direct proportion y=kx , k is constant and k does not equal to 0.
17.5=k(21)
k=5/6
when x =39
y=5/6 ×39
y=32.5
1.Choice 4: 10
2. Choice 1: Add 5.2 to both sides if the equation.
