Review and evaluate the following: By the given y = 2x + 1 ÷ x, what is the value of y when: 1. x=0 2. x = 1 3. x = 2.5 4.x = 1/3 5. x=a

Question

asked Nov 25, 2023 154k views

1 Answer

Jason Shantz · Answer 1 · 2023-11-29T20:54:40+0000

ANSWER

$\begin{gathered} 1)\text{ Undefined} \\ \\ 2)\text{ }3 \\ \\ 3)\text{ }2.4 \\ \\ 4)\text{ }5 \\ \\ 5)\text{ }2+(1)/(a) \end{gathered}$

Step-by-step explanation

We want to find the value of y:

for the values of x.

To do this, for each value of x, substitute the values of x into the equation and simplify.

1. x = 0:

$\begin{gathered} y=(2x+1)/(x) \\ \\ y=(2(0)+1)/(0)=(0+1)/(0)=(1)/(0) \\ \\ y=\text{ Undefined} \end{gathered}$

The value of y is undefined for x = 0 since any value divided by 0 is undefined.

2. x = 1:

$\begin{gathered} y=(2(1)+1)/(1)=(2+1)/(1) \\ \\ y=(3)/(1) \\ \\ y=3 \end{gathered}$

3. x = 2.5:

$\begin{gathered} y=(2(2.5)+1)/(2.5)=(5+1)/(2.5) \\ \\ y=(6)/(2.5) \\ \\ y=2.4 \end{gathered}$

4. x = 1/3:

$\begin{gathered} y=(2((1)/(3))+1)/((1)/(3))=((2)/(3)+1)/((1)/(3)) \\ \\ y=((5)/(3))/((1)/(3))=(5)/(3)*(3)/(1) \\ \\ y=5 \end{gathered}$

5. x = a:

$\begin{gathered} y=(2(a)+1)/(a)=(2a+1)/(a) \\ \\ y=2+(1)/(a) \end{gathered}$

That is the answer.