Step-by-step explanation:
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Let's examine the given function first:
f(x) = x^2 + 1 is the same as f(x) = 1(x-0)^2 + 1.
The vertex of the graph of this function is at (0, 1).
Let x=0 to find the y-intercept: f(0)=0^2+1 = 1; y-int. is at (0,1) (which happens to be the vertex also)
Comparing f(x) = x^2 + 1 to y = x^2, we see that the only difference is that f(x) has a vertical offset of 1. So: Graph y=x^2. Then translate the whole graph UP by 1 unit. That's it. Note (again) that the vertex will be at (0,1), and (0,1) is also the y-intercept.
102 I have answered this question before and it was correct! Pls give brainliest! Ty, hope this helped
Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:
.
It halves in value at t years, for which A(t) = 0.5A(0), hence:
t = 5.42.
It takes 5.42 years for the car to halve in value.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
1
Step-by-step explanation:
<h2>Given, y = b m x m</h2><h2>y' = -b m x (m+1)</h2><h2>At any point (x1,y1)</h2><h2 /><h2>Equation of tangent is given by </h2><h2>y - y1 </h2><h2>------- = -b m x1 -(m+1)</h2><h2>x - x1</h2><h2>Y intercept = - m</h2><h2>X intercept = (m-1) × 1</h2><h2> m </h2><h2>Area bounced = 1 (m - 1)×1</h2><h2> ---- ---------------------- x m</h2><h2> 2 m</h2><h2>For area to be constant, m = 1</h2>
