Answer:
Find the answers in the explanation
Step-by-step explanation:
The given function is
f(x)=475-15x
A.) To find f^-1 and explain what it represents in this situacions, let f(x) = y. That is,
Y = 475 - 15x
Interchange y and x and make y the subject of formula
X = 475 - 15y
-15y = x - 475
Y = 475/15 - x/15
Y = (475 - x) / 15
Therefore,
f^-1(x) = (475 - x) / 15
If the function depreciates the smartphone, then, the inverse function will appreciate it.
When will the deprecated value of smart phone be less than $100.00
Substitute 100 for f(x) and find x
100 = 475 - 15x
-15x = 100 - 475
-15x = - 375
X = 375/15
X = 25
Therefore, the deprecated value of smart phone be less than $100.00 in the next 26 months.
what does x represent in f^-1(x) =30?
X represent the number of months for the smartphone appreciations
What is the value of x?
Substitute the inverse function for 30 and make x the subject of formula in the equation
f^-1(x) = (475 - x) / 15
30 = (475 - x) / 15
Cross multiply
450 = 475 - x
X = 475 - 450
X = 25 months
Graph f(x) and f^-1 (x) on the same coordinate
Answer:
c) 6
Step-by-step explanation:
This is a straight-forward application of the Law of Cosines:
... a² = b² + c² -2bc·cos(A)
... a² = 8² +11² -2·8·11·cos(32.2°) ≈ 64 +121 -176·0.8462
... a² ≈ 36.07000
... a ≈ 6.00583
The best choice is c) 6.
Answer:
(a) 0.873 (b) 0.007 (c) 0.715 (d) 0.277 (e) 1.25 and 1.09
Step-by-step explanation:
The probability that the random variable X takes the value x is given by P(X=x) = 
. Then,
(a) 
(b) 
(c) 
(d) 
(e) E(X) = np = (25)(0.05) = 1.25 and 
Answer:
There is no possible triangles
Step-by-step explanation:
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin O}{58}=\frac{\sin 52}{13}
58
sinO
=
13
sin52
Plug in values.
\sin O=\frac{58\sin 52}{13}\approx 3.5157403
sinO=
13
58sin52
≈3.5157403O=\sin^{-1}(3.5157403)= \text{ERROR}
O=sin
−1
(3.5157403)=ERROR
Sine cannot be greater than 1.
{No Possible Triangles}
No Possible Triangles
{}
{}
