What is the factored form of 4x2 + 23x – 72?

(x + 8 )(4x - 9)

using the a-c method

consider the factors of the product 4 × - 72 = - 288 which sum to + 23

The factors are + 32 and - 9

split the middle term using these factors

4x² + 32x - 9x - 72 ( factor by grouping )

= 4x( x + 8) - 9( x + 8)

take out the common factor ( x + 8)

= (x + 8 )(4x - 9 )

1696 hundred thousand

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.