Means owns a food truck that sells pizzas. she charges $12 for each pizza. it costs her $5 to make each pizza and there is a $35 fee to park her food truck at a local food truck park. how many pizzas does she have to sell before she will break even? what's the variable? cost expression & profit expression. write equation to slove

5 pizza

Step-by-step explanation:

Break Even is when revenue is equal to cost.

We need to find revenue (income) equation and cost equation and equate it to find the unknown.

We want to find the number of pizzas to break even, so the variable is the number of pizzas, we call it "p".

Revenue is 12 per pizza, so the equation is:

12p

Cost is 35 fixed + 5 variable (5 dollar cost per pizza). So we can write the equation as:

35 + 5p

Now, we equate both and solve for p:

Thus, 5 pizzas sold would break even.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.