Joy tried to evaluate the expression 10 - 8 + 4 x 3. Here is her work: 10 - 8 + 4 x 3
= 10 - 8 + 12
Step 1
= 2 + 12
Step 2
= 14
Step 3
Is Joy's work correct?
No, Joy made a mistake in Step 1. Joy should have subtracted first. The order
of operations says to work from left to right.
No, Joy made a mistake in Step 2. Joy should have added before she
subtracted. The order of operations says to add before you subtract.
Yes, Joy's work is correct.

Polygon mnopq is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image m′n′o′p′q′. the coordinates of point m are (2, 4), and the coordinates of point n are (3, 5). the slope of is .

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.

Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. consider the given table.