A biologist is comparing the growth of a population of flies per week to the number of flies a lizard will consume per week. SHe
has devised an equation to solve for which day(x) the lizard would be able to eat the entire population. The equation is 3^x=5x-1
Explain the biologist how she can solve this on a graph using a system of equation
Explain the biologist how she can solve this on a graph using a system of equation
1 answer:
This equation can be solved graphically by plotting the equations
f(x) = 3^x
and
g(x) = 5x-1.
The x-coordinate of the point(s) of intersection is the solution.
_____
On my graphing calculator, I find it easier to locate x-intercepts, so I would rewrite the equation as
3^x -(5x -1) = 0
and plot the function
h(x) = 3^x -(5x -1)
The x-intercept(s) would be the solutions. (There are two: x≈0.577, x=2.)
f(x) = 3^x
and
g(x) = 5x-1.
The x-coordinate of the point(s) of intersection is the solution.
_____
On my graphing calculator, I find it easier to locate x-intercepts, so I would rewrite the equation as
3^x -(5x -1) = 0
and plot the function
h(x) = 3^x -(5x -1)
The x-intercept(s) would be the solutions. (There are two: x≈0.577, x=2.)
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Answer:
Step-by-step explanation:
<u>Formula</u>
<u>Solve</u>
<u /><u />
(f o g)(x)=f(g(x))
so
h(x)=f(g(x))
hmm, see the differences
x+7=g(x)+1
x+6=g(x)
g(x)=x+6
so
h(x)=f(g(x))
hmm, see the differences
x+7=g(x)+1
x+6=g(x)
g(x)=x+6
