Use the graph of each quadratic function to tell the type of solutions, then approximate its solutions.
a) one real solution
x=0
b) 2 non-real complex solutions (imaginary solutions)
c)
one real solution
X=1
d)
two real solutions
x = 1 and x = 3

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

Find the length of the normal and the angle it makes with the positive x-axis. (see pictured below)