A telephone company offers the following plans . Also given are the piecewise functions that model these plans. Use this information to solve Exercises 95-96. Plan A . 530 per month buys 120 minutes. • Additional time costs SO.30 per minute. C ( t ) = { 30 if 0 ≤ t ≤ 120 30 + 0.30 ( t − 120 ) if t > 120 Plan B • $40 per month buys 200 minutes. • Additional time costs $0.30per minute. C ( t ) = { 40 if 0 ≤ t ≤ 200 40 + 0.30 ( t − 200 ) if t > 200 Simplify the algebraic expression in the second line of the piecewise function for plan A. Then use point-plotting to graph the function.
A telephone company offers the following plans . Also given are the piecewise functions that model these plans. Use this information to solve Exercises 95-96. Plan A . 530 per month buys 120 minutes. • Additional time costs SO.30 per minute. C ( t ) = { 30 if 0 ≤ t ≤ 120 30 + 0.30 ( t − 120 ) if t > 120 Plan B • $40 per month buys 200 minutes. • Additional time costs $0.30per minute. C ( t ) = { 40 if 0 ≤ t ≤ 200 40 + 0.30 ( t − 200 ) if t > 200 Simplify the algebraic expression in the second line of the piecewise function for plan A. Then use point-plotting to graph the function.
Solution Summary: The author explains the simplified algebraic expression in the second line of function C(t)=l30,if 0le t
A telephone company offers the following plans. Also givenare the piecewise functions that model these plans. Use this information to solve Exercises 95-96.
Plan A.530 per month buys 120 minutes.
• Additional time costs SO.30 per minute.
C
(
t
)
=
{
30
if
0
≤
t
≤
120
30
+
0.30
(
t
−
120
)
if
t
>
120
Plan B
•$40 per month buys 200 minutes.
• Additional time costs $0.30per minute.
C
(
t
)
=
{
40
if
0
≤
t
≤
200
40
+
0.30
(
t
−
200
)
if
t
>
200
Simplify the algebraic expression in the second line of the piecewise function for plan A. Then use point-plotting to graph the function.
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methods
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