Question

Use the graph to find estimates for the solutions of
$3x {}^{2} - 3x - 1 = x + 1$
​

Answer 1

Answer:

x = - 0.25, x = 1.25

Step-by-step explanation:

The solutions to the equation are the values of x where the graph crosses the x- axis, that is as an estimate

x ≈ - 0.25 and x ≈ 1.25

Answer 2

Answer:

$x=-0.4$

$x=1.7$

Hopefully the answers are accepted to the nearest tenths.

Step-by-step explanation:

Since the left hand side was already graphed, we just need to graph the right hand side which is $x+1$.

We are going to still let $y$ represent the outputs of $x+1$.

So we want to graph the equation $y=x+1$ on the same graph as the parabola, the almost U shaped graph.

You could make a table to plot the equation.

$y=x+1$

$x$     |      $y$         |     ordered pair to graph $(x,y)$

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     -2                     -2+1=-1                          (-2,-1)

     -1                       -1+1=0                           (-1,0)

      0                       0+1=1                            (0,1)

      1                         1+1=2                           (1,2)

      2                        2+1=3                          (2,3)

The purple line I made is the line formed from these points which was generated from the equation $y=x+1$.

Now where the blue curve touches the purple line is our solutions. I put those in orange.

The solutions are approximately, $x=-0.4$ or $x=1.7$.

Hopefully, it accepts solutions to the nearest tenths.

We are trying to approximate where those orange dots are on the number line. Please see attachment 2.