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2 answers:
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Answer:
y = -2x -9
Step-by-step explanation:
<h2><u>in order to solve this question you have to do the following : </u></h2>1. find the midpoint of the coordinates given
2. find the gradient of the line
3. make the equation
<h3><em><u>STEP : The midpoint </u></em></h3>formula of the midpoint is
now place the values in the equation :
midpoint = ( -3 , -3)
<h3><em><u>STEP 2 : The gradient </u></em></h3>formula of finding the gradient
insert the values in the equation:
=
gradient = -2
<h3><em><u>STEP 3: Form the equation </u></em></h3>use the formula of the equation :
now make use of the gradient(m) and the midpoints and insert into the equation
(y-(-3)) = -2(x -(-3))
hence
y+3 = -2 (x +3)
y= -2x -6 -3
<h3><u /></h3><h3><u>y = -2x -9 </u></h3>Answer:
Step-by-step explanation:
The formula for <u>exponential growth</u> is y = ab^x.
To write this equation, we know it has to start with 48 (which is the variable a). We need to add the rate of growth. This is 11/6 (which is variable b). But we also need to account for the "every 3.5 years" part, so divide the x as an exponent by 3.5.
N(t) = 48 * 11/6^(t/3.5)
This equation is easy to test, and it's a good idea to test it after you write it. For example, after 3.5 years we know that it should have 48*11/6 branches. Does our equation work? Yes.