SOLVE FOR X (FIRST BOX) SOLVE FOR Y (SECOND BOX)
Answer:
1. The equation would be y = -2x + 9
Step-by-step explanation:
To find the line parallel going through the given point, first note that parallel lines have the same slope. This means that in #1, we have a slope of -2 in the original line, therefore the parallel line will also have a slope of -2. Now we can use this and the given point to find the line using point-slope form.
y - y1 = m(x - x1)
y - 1 = -2(x - 4)
y - 1 = -2x + 8
y = -2x + 9
Answer:
(2,5) instead of rotating 270 degrees you could rotate 90 degrees clockwise the figure is going to end up in quadrant 1 and the numbers stay the same put become positive
Step-by-step explanation:
Answer:
m = 299
Step-by-step explanation:
When isolating variables, you must do the same thing to both sides of the equation. To isolate "m", you must add 77 to both sides.
m - 77 = 222 <----- Original equation
+77 +77 <----- Add 77 to both sides
m + 0 = 299 <----- Resulting equation
m = 299 <----- Rewrite
Answer:
(a)Yes, it is an exponential function.
(b)
Step-by-step explanation:
(a)A population grows exponentially if it increases by a common ratio(called the growth ratio). We can see from the given information that the population of E.coli doubles every 20 minutes, therefore it is an exponential growth with a growth ratio of 2.
(b)The population, P(t) at any time t of an initial population,
with a growth ratio of r over a period k can be modeled using the function:

In this Case:
=200
Growth rate,r=2
Growth Period,k=20 minutes
Therefore, the equation that models the function is:
, t is in minutes