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liq [111]
3 years ago
9

In the table, Pattern A uses the rule "add 12" and Pattern B uses the rule "add 3." Pattern A 0 12 24 36 48 Pattern B 0 3 6 9 12

Which statement is true? Every term in Pattern B is 4 times the corresponding term in Pattern A. Every term in Pattern B is 13 the corresponding term in Pattern A. Every term in Pattern B is 9 less than the corresponding term in Pattern A. Every term in Pattern B is 14 the corresponding term in Pattern A.
Mathematics
2 answers:
lara31 [8.8K]3 years ago
8 0

Answer:

D. Every term in Pattern B is 1/4 the corresponding term in Pattern A.

Step-by-step explanation:

Given

A:0\ 12\ 24\ 36\ 48

B: 0\ 3\ 6\ 9\ 12

Required

The true statement

Option D is true, and the proof is as follows.

The interpretation of D is:

B = \frac{1}{4}A

When A = 0

B = \frac{1}{4}A = \frac{1}{4} * 0 = 0

When A = 12

B = \frac{1}{4}A = \frac{1}{4} * 12 = 3

When A = 24

B = \frac{1}{4}A = \frac{1}{4} * 24 = 6

When A = 36

B = \frac{1}{4}A = \frac{1}{4} * 36 = 9

WhenA = 48

B = \frac{1}{4}A = \frac{1}{4} * 48 = 12

Compare the calculated values with the given values of B, we have:

B: 0\ 3\ 6\ 9\ 12 --- Calculated

B: 0\ 3\ 6\ 9\ 12 --- Given

Hence, (d) is correct

vladimir1956 [14]3 years ago
5 0

Answer:

d yw

Step-by-step explanation:

i took the test

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Answer:

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Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to (x_1,y_1) and (x_2, y_2) (doesn't matter which you assign) and use the slope formula:

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Therefore, the slope of this line is -1. In slope-intercept form y=mx+b, m represents slope, so one of the lines must have a term with -x in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

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*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into y=mx+b

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Elina [12.6K]
View attachment

Hope this helps


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