C: none of these are solutions to the given equation.
• If<em> y(x)</em> = <em>e</em>², then <em>y</em> is constant and <em>y'</em> = 0. Then <em>y'</em> - <em>y</em> = -<em>e</em>² ≠ 0.
• If <em>y(x)</em> = <em>x</em>, then <em>y'</em> = 1, but <em>y'</em> - <em>y</em> = 1 - <em>x</em> ≠ 0.
The actual solution is easy to find, since this equation is separable.
<em>y'</em> - <em>y</em> = 0
d<em>y</em>/d<em>x</em> = <em>y</em>
d<em>y</em>/<em>y</em> = d<em>x</em>
∫ d<em>y</em>/<em>y</em> = ∫ d<em>x</em>
ln|<em>y</em>| = <em>x</em> + <em>C</em>
<em>y</em> = exp(<em>x</em> + <em>C </em>)
<em>y</em> = <em>C</em> exp(<em>x</em>) = <em>C</em> <em>eˣ</em>
Answer:
Table C
Step-by-step explanation:
To find the constant of proportionality, you need to divide y by x
Table A has a constant of proportionality of
<em>which is 0.3333 repeating</em>
Table B has a constant of proportionality of
<em>which is 0.6</em>
Table C has a constant of proportionality of
<em> which is 0.3</em>
Answer: Hello mate!
you put every number twice, I will consider that in this problem we have:
225 gallons of water initial with 5 pounds of sugar. then each minute you add 20 gallons of water and 4 pounds of sugar.
the concentration is defined as pounds of sugar divided by the gallons of water. The gallons of water are 225 initially and 20 per minute, this is written as 225 + 20tt, where t is the minutes. The pounds of sugar is 5 + 4 per minute, then this can be written as 5 + 4t
this is the equation that describes the concentration in pounder per gallon after t minutes.
1.65
You can substitute in the values of p, n and e to get the equation:
5700 = 4000c - 900
add 900 to both sides and you get
6600 = 4000c
divide both sides by 4000 and you get
1.65 = c
so the answer is 1.65