Find the missing coefficient. y2 − [-5y − y(-7y − 9)] − [-y (15y + 4)] = 0

Missing Coefficient is -8

Step-by-step explanation:

We are given, _y² - [ -5y - y( -7y -9) ] - [ -y(15y + 4) ] = 0

We have to find missing value.

let missing value be a

ay² - [ -5y - y( -7y - 9) ] - [ -y(15y + 4) ] = 0

ay² - [ -5y + 7y² + 9y ] - [ -15y² - 4y ] = 0

ay² - [ 7y² + 4y ] + 15y² + 4y = 0

ay² - 7y² - 4y + 15y² + 4y = 0

ay² - 7y² + 15y² + 4y - 4y = 0

( a - 7 + 15 )y² = 0

RHS can be written as

( a - 7 + 15 )y² = 0.y²

Now comparing coefficient of both sides we get,

a - 7 + 15 = 0

a + 8 = 0

a = -8

Therefore, Missing Coefficient is -8

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)