5. At midnight, a candle was lit. At 15 minutes past midnight, the candle was 4 inches tall, and you notice that it burns at a rate of 0.75 inches per hour. (a) Write the point-slope form of the function that gives the height of the candle, h, in inches, as a function of time, t, in minutes past midnight, as the candle burns.

The equation is;

y-4 = 0.75(x-15)

Step-by-step explanation:

Here, we want to write a point-slope form equation

A point-slope equation is of the form;

y-y1 = m(x-x1)

Firstly, we need the slope of the equation

The slope is m

with respect to the question, this is 0.75 inches per hour

The point we are considering would be (15,4)

So we have the equation as;

y-4 = 0.75(x-15)

5y

step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.