Answer:
Step-by-step explanation:
We are given two points, the y - intercept and the x - intercept.
The y - intercept being: ( 0, -7 )
The x - intercept being: ( 1, 0 )
The equation of a line in slope - intercept form is:
y = mx + b, where m is the slope and b is the y - intercept.
We already have the y - intercept. So far we have:
y = mx - 7
What we're missing is the slope.
To find the slope, we can use this formula:
, where 
and 
are the x - coordinates of both points and 
and are the y - coordinates of both points.
We now have the missing piece, the slope, so the equation now is:
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Answer:
B
Step-by-step explanation:
Answer:
dT/dt = k(L-Lt)
Step-by-step explanation:
Let the rate of growth in length be dL/dt
The difference between the current length L and the asymptotic length Lt will be expressed as L-Lt
If the rate of growth in length of an individual fish is proportional to the difference between the current length L and the asymptotic length Lt, this is expressed as;
dT/dt ∝ L-Lt
dT/dt = k(L-Lt) where
k is the proportionality constant
Hence the differential equation that expresses this idea is written as;
dT/dt = k(L-Lt)
Answer:
x = 6/5
x = 1.2
x = 1 1/5
Step-by-step explanation:
The answers above are all the same, but in different forms.
The steps to getting x:
1. subtract 12 from the parenthesis which leaves us with 5x = 6
2. Then we want to divide 5 from x which gives up our answer 5x/5 = 6/5
Remember whatever you do on one side it has to be done on the other, hence the equal sign
