A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, f(x) has the entries, 3, 3, 3, 3, 3, 3. A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, g(x) has the entries, 4, 3, 2, 1, 0, negative 1. The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true? x =

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.