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djyliett [7]
3 years ago
12

Kylie borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was

overdue. The expression below shows the charges Kylie paid for the book when she returned it x days after the due date: 2 + 0.25x What does the constant term of the expression represent?
Mathematics
1 answer:
Kobotan [32]3 years ago
3 0

Answer: flat rental fee of $2

Step-by-step explanation:

independent factor that does not change. Coeffocient 0.25 will be charge for late days

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nevsk [136]

Answer:

Transformation include reflecting and dilating of points

The scale factor from PQR to P'Q'R' is 1/4

The coordinates of P"Q"R" are P"=(-1,0) Q"=(0,-1)  R"=(2,-1)           .

PQR and P′'Q′'R′' are not congruent

The points are given as:

p=(4,0)

q=(0,-4)

r=(-8,-4)

p'=(1,0)

q'=(0-1)

r'=(-2,-1)

(a)The scale factor from PQR to P'Q'R

To do this, we make use of corresponding sides QR and Q'R

So, the scale factor (k) is:

k=q'r'/qr

k=2/8

k=1/4

(b) The coordinates of P"Q"R from reflecting P'Q'R' about the y-axis

The rule of this transformation is:

(x,y)--------(-x,y)

So, we have:

p"=(-1,0)

q"=(0,-1)

r"=(2,-1)

(c) Are triangle PQR and P"Q'R" congruent?

No they are not

This is so because

PQR was dilated by 1/4 to get P'Q'R

P'Q'R' and P"Q"R" are congruent

Hence,  PQR and P′'Q′'R′' are not congruent

Step-by-step explanation:

4 0
3 years ago
Find the greatest common factor of x^2y and xy^2
Dimas [21]
1. Find the H.C.F. of 4x2y3 and 6xy2z.
Solution:
The H.C.F. of numerical coefficients = The H.C.F. of 4 and 6.
Since, 4 = 2 × 2 = 22 and 6 = 2 × 3 = 21 × 31
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6 0
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ehidna [41]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help. Not sure how to do this one
Sladkaya [172]

The correct answer is: Option 3: (hofog)(x)=\frac{x-14}{x+4}

Step-by-step explanation:

Given

f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2

We have to find

(hofog)(x)

This will be equal to:

h(f(g(x)))

So we have to find the composition of (fog)(x) first

(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}

Now,

(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}

The correct answer is: Option 3: (hofog)(x)=\frac{x-14}{x+4}

Keywords: Composition, Functions

Learn more about function composition at:

  • brainly.com/question/10015690
  • brainly.com/question/10048445

#LearnwithBrainly

8 0
3 years ago
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mina [271]

Answer:

if u want me to be honest i have no clue

7 0
2 years ago
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