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spin [16.1K]
3 years ago
7

Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 13?

Mathematics
2 answers:
Eduardwww [97]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Refer to picture.

When graph of y = x is transformed to y = x - 13,

U can visualise it by drawing the before and after transformed graphs to compare in order to deduce the answer.

From the picture, you will realise that when x is unchanged, I'm this case I'm using points x=0 and x=13, the value of the y coordinate in the transformed graph (y = x-13) actually decreased by 13 units as compared to the original graph of y=x.

Hence the graph actually got translated 13 units in the direction of negative y axis which is option D

krek1111 [17]3 years ago
5 0
The answer is D where the graph is y = x and it is decreased by 13
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2 years ago
A collection of dimes and quarters is worth $9.55. If the quarters were dimes and the dimes were quarters, the total value would
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Number of dimes are 18 and number of quarters are 31

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

A collection of dimes and quarters is worth $9.55

value of 1 dime x number of dimes + value of 1 dime x number of quarters = 9.55

0.10d + 0.25q = 9.55 ---------- eqn 1

If the quarters were dimes and the dimes were quarters, the total value would be 7.60

quarters were dimes means , q = d

dimes were quarters means d = q

0.25d + 0.10q = 7.60 ----- eqn 2

Let us solve eqn 1 and eqn 2 to find "d" and "q"

Multiply eqn 1 by 2.5

0.25d + 0.625q = 23.875 ---- eqn 3

Subtract eqn 2 from eqn 3

0.25d + 0.625q = 23.875

0.25d + 0.10q = 7.60

( - ) ----------------------

0.525q = 16.275

q = 31

Substitute q = 31 in eqn 1

0.10d + 0.25q = 9.55

0.10d + 0.25(31) = 9.55

0.10d + 7.75 = 9.55

0.10d = 1.8

d = 18

Thus dimes are 18 and number of quarters are 31

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3 years ago
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