A student showed the steps below while solving the equation 14 = log Subscript 5 Baseline (2 x minus 3) by graphing.

Step 1:
Write a system of equations: y 1 = 14; y 2 = log Subscript 5 Baseline (2 x minus 3)
Step 2: Use the change of base formula to rewrite the equations:
y 1 = log 14; y 2 = StartFraction log (2 x minus 3) Over log 5 EndFraction
Step 3: Graph the two equations:
On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1 and approaches y = 2. It crosses the x-axis at (2, 0). A horizontal straight line is at y = 1.
Step 4: Identify the x-value at the point of intersection:
x almost-equals 4.5

In which step did the student make the first error?

Lydia collected two sets of data one set of data shows an outlier. which set has an outlier, and which number is the outlier?

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

In september, louise planted a tree. every month, the tree louise planted grew 2 inches. what would the constant of proportionality of the line be?