Each student in Ms. Keene's history class needs one fourth of a sheet of poster board for their project. Ms. Keene purchased 16 full sheets of poster board. If the poster boards Ms. Keene purchased are separated into fourths, what is the greatest number of students that could complete their projects on these pieces of poster board?

64 students

Step-by-step explanation:

16 x 4 = 64

64 students

Step-by-step explanation:

take 16 and times it by 4 because she purchased 16 poster boards and each board is cut into 4 sections

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.