Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. which of these statements explains whether his solutions are correct?
a.) he is correct because both solutions satisfy the equation.
b.) he is not correct because he made a sign error.
c.) he is not correct because there are no solutions.
d.) he is not correct because there is only one solution: x = 5.

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

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?

Eric drove 275 miles in 5 hours. at the same rate how long would it take him to drive 495 miles?