Help! Help! Help! William just lit a new candle and then let it burn all the way down to nothing. The length of the candle remaining unburned, in inches, can be modeled by the equation L = − 0.75 t + 15, where t represents the number of hours since the candle was lit. What is the x-intercept of the equation and what is its interpretation in the context of the problem?

Intercept = 15 ;

Meaning that the initial length of the candle at the time it was lit is 15.

Step-by-step explanation:

Given the model :

L = − 0.75 t + 15 ; represents the length of unburned candle, L after t hours since candle was lit.

Comparing the model equation to the general form of a linear regression equation :

y = bx + c

b = slope or gradient ; c = intercept

Comparing to the model ;

-0.75 = bx

15 = c

Hence, intercept, c = 15

Similarly;

L = − 0.75 t + 15

Put t = 0

L = - 0.75(0) + 15

L = 0 + 15

L = 15

Meaning that the initial length of the candle at the time it was lit is 15

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹(

                        =tan⁻¹(

                          =tan⁻¹(0.8)

                        =38.6°