The middle section is n(n+1)

The top row is n+2

The bottom row is 2n+1

So the rule for the total number of tiles will be the sum of the above rules...

s(n)=n(n+1)+n+2+2n+1

s(n)=n^2+n+n+2+2n+1

s(n)=n^2+4n+3

6 0

3 years ago

Write an exponential function y = ab" whose graph passes through (2,12) and (5,96).

motikmotik

Answer:

y = 3 $(2)^{x}$

Step-by-step explanation:

Substitute the given points into the function and solve for a and b

Using (2, 12)

12 = ab² → (1)

Using (5, 96)

96 = a $b^{5}$ → (2)

Divide (2) by (1)

$\frac{ab^5}{ab^2}$ = $\frac{96}{12}$ , that is

b³ = 8 ( take the cube root of both sides )

b = $\sqrt[3]{8}$ = 2

Substitute b = 2 into (1) and solve for a

12 = a2² = 4a ( divide both sides by 4 )

3 = a

Thus

y = 3 $(2)^{x}$ ← is the exponential function

3 0

3 years ago

|-9c|=8 and solve for c

melisa1 [442]

C = negative 8/9 or 8/9

5 0

3 years ago