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ArbitrLikvidat [17]
3 years ago
8

A proportional relationship is formed when y=1 and x=-4 what is the value of x when y=4

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0

Answer:

x = - 16

Step-by-step explanation:

The equation relating two proportional quantities is

y = kx ← k is the constant of proportionality

To find k use the condition when y = 1, x = - 4

k = \frac{y}{x} = - \frac{1}{4}

y = - \frac{1}{4} x ← equation of proportionality

when y = 4, then

4 = - \frac{1}{4} x (multiply both sides by - 4 )

x = - 16


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Answer:

vertical angles

Step-by-step explanation:

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Can somebody help me please is it A,B,C,D
kvasek [131]

Answer:

80 degrees

Step-by-step explanation:

The only given angle here is angle 4, which measures 100 degrees.

<u>1) Identify angle relationships</u>

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3 years ago
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Prove the following statements: (a) For every integer x, if x is even, then for every integer y, xy is even. (b) For every integ
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Answer and Step-by-step explanation:

(a) Given that x and y is even, we want to prove that xy is also even.

For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.

(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:

Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.

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Suppose 12% of students are veterans. From a sample of 263 students, how unusual would it be to have less than 22 veterans?
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Yes, both np and n(1-p) are ≥ 10

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Step-by-step explanation:

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p = 12% = 0.12 ;

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Yes, it is unusual

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