Find a linear function h, given h(4)=-7 and h(-1)=8. then find h(8)

The function of h can be written as h(x) = -3x + 5

To find this function, we first have to note the two ordered pairs given to us. Since h(4) = -7, we know that when we use x = 4 in the equation, we get that the function equals -7. Therefore, we have an ordered pair of (4, -7). If we do the same for the second set of data, we have the ordered pair of (-1, 8).

Now we can use these two ordered pairs to find the slope of the equation using the slope formula.

m (slope) = (y2 - y1)/(x2 - x1)

m = (8 - -7)/(-1 - 4)

m = 15/-5

m = -3

Now that we have the slope, we can use that and a point of our choosing to find the intercept. Just use slope intercept form.

y = mx + b

8 = -3(-1) + b

8 = 3 + b

5 = b

Now that we have slope and intercept, we can write the equation as:

h(x) = -3x + 5

From here we can find h(8) by inputting 8 in for x.

h(8) = -3(8) + 5

h(8) = -24 + 5

h(8) = -19

step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.