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koban [17]
3 years ago
8

A club is planning on printing custom t-shirts for the 2013 academic year.

Mathematics
2 answers:
lions [1.4K]3 years ago
7 0
 50+ 7.99 x =y
50+ 7.99 (40)= y
50+319.60= y
369.60=y

50+ 7.99 x =y
50 + 7.99 (50)
50+ 399.50=449.50
6.99(30)=209.70
449.50 + 209.70 =659.2 

Blababa [14]3 years ago
4 0
Set up fee is always there so there is always 50 starting feee

first 50 shirts means   every shirt up to and including the 50th shirt cost 7.99 each

any number past that (51st shirt and beyond) is 6.99

40 shirts
this is 50 and below and also add set up fee
50+40*7.99=$369.60

$369.60 for 40 shirts


80 shirts
this is above 50, BUT, the first 50 are still 7.99 each, the rest are 6.99
80-50=30
don't forgeet set up fee
so
50+50*7.99+30*6.99=659.20
cost for 80 shirts is $659.20

piecewise function
y=mx+b form is nice
first part is easy (x≤50 part)
y=7.99x+50

for the bit that is over the 50, we have to include the 50 shirts in the b
50*7.99=399.50
and the setup is 50 so add that also
399.50+50=449.50
and subtract the 50 from x
y=6.99(x-50)+449.50

therefor the piecewise functin is
f(x)= \left \{ {x \ \textgreater \  50, {y=6.99(x-50)+449.50} \atop x \leq50,  {y=7.99x+50}} } \right
 

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Write an equation of the line that passes through the given point and is parallel to the given line.
saveliy_v [14]

the equation of line passing through given point parallel to y = -2x+7 is: y = -2x+9

Step-by-step explanation:

Given equation of line is:

y = -2x+7

As the given line is in slope intercept form, the coefficient of x is the slope

Let m1 be the slope of given line

m_1 = -2

Let m2 be the slope of second line then

m_2= -2

The equation of line is given by:

y= m_2x+b

Putting the value of slope

y = -2x+b

Putting the point (4,1) in the equation

y = -2x+b\\1 = -2(4)+b\\1= -8+b\\b = 1+8\\b = 9

Putting the value of b in the equation

y = -2x+9

Hence,

the equation of line passing through given point parallel to y = -2x+7 is: y = -2x+9

Keywords: Slope, intercepts

Learn more about slope at:

  • brainly.com/question/664010
  • brainly.com/question/6594923

#LearnwithBrainly

3 0
3 years ago
Please help me <br> 30 points <br> Show you work
GenaCL600 [577]

Answer:

(a) A translation is a rigid transformation. How does this statement support line s being parallel to line r?

Because ALL of the points of line r move the same distance in the same direction, then the inclination of the line s doesn't change with respect line r.

(b) Write and expression for the slope of line r:

(k-n)/(j-m)

(c) Write and expression for the slope of line s:

(k-n)/(j-m)

(d) Line q is a vertical is a vertical translation of line s 3 units down. P'' is the image of P'. What are the coordinates of P''?

The coordinates of P'' are:

P''=(m,n+ϴ-3)

Step-by-step explanation:

(a) A translation is a rigid transformation. How does this statement support line s being parallel to line r?

Because ALL of the points of line r move the same distance in the same direction, then the inclination of the line s doesn't change with respect line r.


(b) Write and expression for the slope of line r.

Line r goes through the points:

P=(m,n)=(xp,yp)→xp=m, yp=n

Q=(j,k)=(xq,yq)→xq=j, yq=k

Slope of line r is:

mr=(yq-yp)/(xq-xp)

Replacing the coordinates, the expression for the slope of line r is:

mr=(k-n)/(j-m)


(c) Write and expression for the slope of line s.

Line s goes through the points:

P'=(m,n+ϴ)=(xp',yp')→xp'=m, yp'=n+ϴ

Q'=(j,k+ϴ)=(xq',yq')→xq'=j, yq'=k+ϴ

Slope of line s is:

ms=(yq'-yp')/(xq'-xp')

Replacing the coordinates, the expression for the slope of line s is:

ms=[(k+ϴ)-(n+ϴ)]/(j-m)

Eliminating the parentheses in the numerator:

ms=[k+ϴ-n-ϴ]/(j-m)

Simplifyng:

ms=(k-n)/(j-m)


(d) Line q is a vertical is a vertical translation of line s 3 units down. P'' is the image of P'. What are the coordinates of P''?

3 units down, then change only the ordinate y:

P''=(xp',yp'-3)

Replacing xp' and yp':

P''=(m,n+ϴ-3)


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