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Leya [2.2K]
2 years ago
9

Your cell phone plan costs ​$39.99 per month plus ​$0.14 for each text message you send or receive. You have at most ​$43 to spe

nd on your cell phone bill. What is the maximum number of text messages that you can send or receive next​ month?
Mathematics
1 answer:
ololo11 [35]2 years ago
6 0
No more than 33 texts a month
you know the total amount spent, you know the total of the bill without texts
45=39.99+.15t
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Answer: (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

Step-by-step explanation:

Transformation rule for dilation:

(x,y)\to(kx,ky) , where k = scale factor

Given : Scale factor = -\dfrac13

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)

Vertices after dilation:

(-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)

(0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)

(6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)

(3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)

Hence, the coordinates of the image if the parallelogram = (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

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