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Paraphin [41]
3 years ago
10

"Find an equation for the family of linear functions with slope 4. (Use the standard coordinate variables x and y. You may use m

for the slope and b for the y-intercept as needed.)"
Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0

Answer:

Y= 4x +y1-4x1

4 represent the slope m

+Y1 - 4x1 represent the intercept b

Step-by-step explanation:

Formula for the equation of the linear function

(Y-y1)/(x-x1) = m

We will transform it into the equation form

Y= mx + b

Where m = slope=4

b = intercept

(Y-y1)/(x-x1) = m

(Y-y1)/(x-x1) = 4

(Y-y1)= 4(x-x1)

Y-y1= 4x -4x1

Y= 4x +y1-4x1

4 represent the slope m

+Y1 - 4x1 represent the intercept b

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Your beginning balance on your lunch account is $42. You buy lunch for $1.80 every day and sometimes buy a snack for $0.85. Afte
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Answer:

The answer to your question is: I bought 7 snacks

Step-by-step explanation:

Data

beginning balance = $42 = b

lunch = $1.80  = l

snack = $ 0.85  = s

final balance = $0.05 = f

                        f = b - 1.8l - 0.05s

                     0.05 = 42 - 1.8l - 0.85s

After 20 days I spent = 1.8(20) in lunches = $36

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                   0.05 = 6 - 0.85s

                  0.05 - 6 = -0.85s

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Suppose you have line AB on a coordinate plane located at A(-3,-4) and B(5,-4). Under a dilation centered at (9,0), line AB
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\dfrac{1}{4}

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Center of dilation: O(9,0).

Line AB with A(-3,-4) and B(5,-4) is dilated with the scale factor k and center of dilation at O to form line A'B' with A'(6,-1) and B'(8,-1).

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OB'=kOB\\ \\OA'=kOA

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\sqrt{2}=k\cdot 4\sqrt{2}\\ \\k=\dfrac{1}{4}

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4 years ago
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