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Over [174]
2 years ago
7

Y is directly proportional to (x-4) when x=16, y=3 find y in terms of x

Mathematics
2 answers:
Paha777 [63]2 years ago
6 0

Answer:

y = ¼(x-4)

Step-by-step explanation:

Before solving the question, let's look at one example,

  • A is directly proportional to B means A∝B which also means A=kB where k is a constant.

In this case, y is directly proportional to (x-4) means that y∝(x-4) which can also mean that y=k(x-4).

Hence, to find the value of k, substitute x=16, y=3 into y=k(x-4),

3=k(16-4)

k=3/12

k=1/4

After that, substitute the k value into the equation,

<h3>y = ¼(x-4)</h3>

dalvyx [7]2 years ago
4 0
Y = x/4 - 1

Step by step explanation in pic

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lbvjy [14]

Answer:

Slope: -1/6

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Step-by-step explanation:

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Midpoint formula: (\frac{x1+x2}{2} ,\frac{y1+y2}{2} )

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3 years ago
What is the least amount of integers you must pick in order to be sure that at least two of them have the same remainder when di
LiRa [457]

There are exactly 15 remainders modulo 15 and they are 0,1,2,…,14.

It is given that at least two of them should have the same remainder when divided by 15.

Division algorithm.

Let aa be an integer and d a positive integer. Then there are unique integers q and r with 0\leq r < d such that a=dq+r

q is called the quotient and r is called the remainder

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Pigeonhole principle If k is a positive integer and k+1or more objects are placed into k boxes, then there is at least one box containing two or more objects.

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Learn more about integers here: brainly.com/question/20521181

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2 years ago
What is the product?<br> [4 3 -1 -1] x [-3 1 -2 -2]
IrinaVladis [17]

Answer:

Option A

|-6 -2|

|1 1|

Step-by-step explanation:

This is a product of a matrix.

So for the first number on the first row, we have;

(4 × -3) - (3 × -2) = -12 + 6 = -6

For the second number on the first row, we have;

(4 × 1) - (3 × 2) = 4 - 6 = -2

For the first number on the second row, we have;

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For the second number on the second row, we have;

(-1 × 1) - (-1 × 2) = -1 + 2 = 1

Thus, we now have;

|-6 -2|

|1 1|

7 0
3 years ago
Read 2 more answers
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avanturin [10]

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step-by-step explanation:

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