See attachment for the graph of the reflection of f(x) across the y-axis
<h3>How to reflect the function?</h3>
The function is given as:
f(x) = 1.5(0.5)^x
The rule of reflection across the y-axis is
(x, y) = (-x, y)
So, we have the following equation
f'(x) = 1.5(0.5)^-x
Rewrite the function as
g(x) = 1.5(0.5)^-x
So, we plot the graph of the function g(x)
See attachment for the graph of the reflection of f(x)
Read more about function transformation at:
brainly.com/question/17586310
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Answer:
$30 is the price of the original pair of sneakers.
Step-by-step explanation:
You wanna cross multiply so you put :
18. 60
_ = _
x. 100
You multiply 18 the cost of the sneakers by 100 and then divide the product (1800) by 60 and you get $30.
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Answer:
-6+3
Step-by-step explanation:
Answer:
amplitude A = 5
vertical shift = 0
period T = 10 s
frequency = 1/T = 0.1 Hz
angular frequency ω = π/5
h(t) = 5sin(πt/5)
Step-by-step explanation:
An oscillator cannot move between ± 5 units, be at rest at t=0 and at maximum 2.5 s later without some serious external acceleration being applied. It just does not work.
I will ASSUME that the particle is at maximum velocity at t = 0 and use the remaining inputs as stated
As h(0) = 0 the Sine function fits nicely as sin0 = 0
A = 5 as the particle swings between +5 and -5
h(t) = 5sin(ωt)
ω will have units of rad/s
We know the particle will move from max to min position in half the period.
so the period T = 2(7.5 - 2.5) = 10 s
There are 2π radians in each cycle, therefore
ω = 2π rad/10 s = π/5 rad/s
h(t) = 5sin(πt/5)