Carlos graphs the equations y = 0.5x^2 + 3 and y = –4x^2 + 24x – 35 and generates the graph below. which conclusion is supported by the graph?

a. the equation 0.5x2 + 3 = –4x2 + 24x – 35 has no solutions.
b. the equation 0.5x2 + 3 = –4x2 + 24x – 35 has one solution.
c. the equation 0.5x2 + 3 = –4x2 + 24x – 35 has two solutions.
d. the equation 0.5x2 + 3 = –4x2 + 24x – 35 has three solutions.

The data shown in the table below represents the weight, in pounds, of a little girl, recorded each year on her birthday. age (in years) weight (in pounds) 2 32 6 47 7 51 4 40 5 43 3 38 8 60 1 23 part a: create a scatter plot to represent the data shown above. sketch the line of best fit. label at least three specific points on the graph that the line passes through. also include the correct labels on the x-axis and y-axis. part b: algebraically write the equation of the best fit line in slope-intercept form. include all of your calculations in your final answer. part c: use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 5x^2 + 10x

The paint recipe also calls for 1/4 cup of food coloring. tyler says mrs.mcglashan will also need 6 cups of food coloring. do u agree or disagree? explain.