The function g is defined by g(x)=ax−7, where a is a constant. find a, if the graph of g passes through the point ( 1/3,−2).

a = 15

Step-by-step explanation:

g(x) is the same thing as "y".  Our point gives us an x and y value, so we will sub those into the equation and solve for a:

-2 = a(1/3) - 7 and

-2 = 1/3a - 7 and

5 = 1/3a so

a = 15

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3