Amy studies two plant cells in biology class.

one cell measures 8×10−6 meter across. the other cell measures 4×10−5 meter across.

question 1
part a

amy compares the sizes of the cells using these steps:

1. divide the whole-number factors: 8÷4=2.

2. divide the powers of 10: 10−5÷10−6=101=10.

3. multiply the products: 2×10=20.

she concludes that the larger cell is 20 times the size of the smaller cell.

which correctly describes amy’s conclusion and process?

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

The graph of y=x3 is transformed as shown in the graph below. which equation represents the transformed function?

Apolynomial has two terms. check all of the factoring methods that should be considered. common factor difference of cubes sum of cubes difference of squares perfect-square trinomial factoring by grouping