Answer:
The equation would be y + 1 = 3(x + 1)
Step-by-step explanation:
In order to find the equation of this line, we have to use the slope formula to find the slope.
m (slope) = (y2 - y1)/(x2 - x1)
m = (3 - -3)/(2 - 0)
m = (3 + 3)/(2 - 0)
m = 6/2
m = 3
Now that we have that, we can use it along with the second point to put into the point-slope equation.
y - y1 = m(x - x1)
y - -1= 3(x - -1)
y + 1 = 3(x + 1)
Answer:
The length of Ann's toy fish is 12 inches; the length of Carol's toy fish is 17 inches; and the length of Liz's toy fish is 33 inches.
Step-by-step explanation:
Let's say Carol's fish is c inches long, Ann's is a inches long, and Liz's is l inches long. Then:
c = 5 + a
l = 9 + 2a
a = 12
Plug 12 in for a to find c and l:
c = 5 + a = 5 + 12 = 17 inches
l = 9 + 2a = 9 + 2 * 12 = 9 + 24 = 33 inches
Thus:
The length of Ann's toy fish is 12 inches; the length of Carol's toy fish is 17 inches; and the length of Liz's toy fish is 33 inches.
First you would do -30x5 which equals -150 then 2-150 equals -148
From the calculation, the growth rate is 0.88.
<h3>What is the growth rate?</h3>
To find the relative growth rate
P1 = Poe^rt
P2 = Poe^rt
Thus;
1920 = Poe^4r ------ (1)
1966080 =Poe^12r -------(2)
P2/P1 gives;
1966080/1920 = Poe^12r/Poe^4r
1024 = e^12r/e^4r
1024 =e^8r
1024 = (e^r)^8
2^10 = (e^r)^8
e^r = 2^1.25
e^r = 2.38
r = ln(2.38)
r = 0.88
The initial size of the culture is;
1920 = Poe^(0.88 * 4)
Po = 1920/e^(0.88 * 4)
Po = 57
The expression for the exact number of bacteria after t hours is
P(t) = 57e^0.08t
The growth (in bacteria per hour) after 9.5 hours is
P(t) = 57e^(0.88 * 9.5)
P(t) = 243544
For the number to reach 72,000;
72,000 = 57e^0.88t
72,000/57 = e^0.88t
ln 126 = ln[e^0.88t]
4.8 = 0.88t
t = 4.8/0.88
t = 5.5 hours
Learn more about exponential growth;brainly.com/question/13674608
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