You use a garden hose to fill a wading pool. If the water level rises 17 centimeters every 5 minutes and you record the data point of (10,y), what is the value of y? Use slope to justify your answer.
The rate of change at which the water level rises is centimeters per minute. So, solving the
17 y
equation
for y gives a y-value equal to 5.
10

(3n - 8)(2n + 5)

Step-by-step explanation:

6n² - n - 40

Consider the factors of the product of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term

product = 6 × - 40 = - 240 and sum = - 1

The factors are - 16 and + 15

Use these factors to split the n- term

6n² - 16n + 15n - 40 ( factor the first/second and third/fourth terms )

2n(3n - 8) + 5(3n - 8) ← factor out (3n - 8) from each term

(3n - 8)(2n + 5)

Then

6n² - n - 40 = (3n - 8)(2n + 5)