Diana is looking for a dining location for a private party. the cost at paolo's restaurant is found by the expression
250+25g where g is the number of guests. the cost at dave's place is found by the expression 100+45g , where g
is the number of guests. diana says that the less expensive restaurant for the party will be dave's place. is she correct? explain why or why not, showing work to justify your response.

She is wrong because Dave's restaurant is more expensive

Step-by-step explanation:

You have to put a number into the formula to work out if its true

Let's say you change g to 10 guests

Diana's one would be 250+250=500

Dave's one would be 100+450=550

This means that she is wrong because it would be an extra 50 for Dave's place.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this