The coroner arrives at the scene of a murder at 11 p. m. She takes the temperature of the body and finds it to be 81.7°F. She waits 1 hour, takes the temperature again, and finds it to be 80.2°F. She notes that the room temperature is 67°F. When was the murder committed?

11:45 AM

Step-by-step explanation:

We have that in one hour the body temperature decreased

went down in

81.7 - 80.2 = 1.2

i.e. 1.2 degrees.

Normal body temperature is 98.6 degrees.

The difference between normal and 11 pm is 98.6-81.7 = 16.9

i.e. 16.9 degrees

now to know how much it decreases every hour:

16.9/ 1.5 = 11.26, that is 11 hours and 15 minutes (1/4 of an hour)

If that was 11:00 PM - 11:15 minutes, the murder was at 11:45 AM

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )