Which of these statements accurately describes the graph of the function f(x)=x2+14x+49f(x)=x2+14x+49 ? a the graph passes through the x-axis at -7. b the graph touches the x-axis at -7. c the graph passes through the x-axis at 7. d the graph touches the x-axis at 7.

A point belongs to the x axis if its y coordinate equals zero.

The points on a graph are in the form , so these points are on the x axis if and only if

In this case, we have

You can observe that your expression is actually a squared binomial: using

you can notice that

So, you have

Now, how we decide if this function "touches" or "passes through" the x-axis at x=7? Well, since our function is a square, it is never negative. So, this graph can't cross the x-axis, but rater touch it from above. The parabola has a U shape, and the point of minimum lies on the x axis.

So, the graph touches the x axis at x=7.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.