Answer: f(x)=200•(0.85)^x
Step-by-step explanation:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.
Answer:
They have the same x-value
f(x) has the greater minimum
Step-by-step explanation:
To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:
x = -b / 2a
Remember that a second degree equation has the following form:
ax^2 + bx + c
so a = 1, b = -8 and c = 7. Now you have to substitute in the previous equation
x = - (-8) / 2(1)
x = 8 / 2
x = 4
This means that the two functions have the same x-value.
The y value of f(x) would be
f(4) = (4)^2 - 8(4) + 7
f(4) = 16 - 32 + 7
f(4) = -9
So the vertex, or minimun value of f(x) would be at the point (4, -9).
The vertex, or minimun value of g(x) is at the point (4, -4).
So f(x) has a minimum value of -9 and g(x) a minimum value of -4.
Answer:
u = 4
v = 18
Step-by-step explanation:
in a parallelogram, diagonals bisect each other into two equal segments so we can do the following:
2u+2 = 5u-10
subtract '2u' from each side to get:
2 = 3u-10
add 10 to each side to get:
12 = 3u
12/3 = u
u = 4
To solve for 'v':
v/3 = 6
multiply each side by 3 to get:
v = 18
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Actually Welcome to the concept of Equilateral triangles.
Since, from the name itself, equilateral triangles have all sides and angles equal.
Hence the correct answer is
==> D. All sides are the same length.