F(x)=sin(πx4) Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

Graph is below

====================================================

Explanation:

If we plugged in x = 0, then we get...

Therefore, this sine curve goes through the origin. More specifically, this point is on the midline y = 0, aka the x axis. This is point A in the diagram below, which I made with GeoGebra (free graphing software).

Now to find another point on this sine curve. We need either a min or max point. Note that the expression is the same as . We will divide 2pi over the coefficient of pi/4 to get

(2pi) divide (pi/4) = 2pi * 4/pi = 8

This tells us the period of this sine curve is 8 units in the horizontal x axis direction. The distance from midline to the nearest peak or valley is 1/4 of this, so (1/4)*8 = 2 units. Move 2 units to the right to arrive at x = 2. Plug this into the original function to get the following:

This matches with the fact that sin(x) maxes out at 1. So we've reached a max or highest point here. The location of which is B(2,1).

answer: the answer is 5/22

step-by-step explanation: if you subtract 17 from 22 the answer is 5 therefore the remainder of students are female

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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