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Tanzania [10]
3 years ago
5

Which of the following is true?

Mathematics
1 answer:
AysviL [449]3 years ago
5 0

Answer: the answer is A

Step-by-step explanation:

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Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct o
inn [45]

Answer: neither direct variation nor inverse variation.


Explanation:


1) The relation between two variables, y and x, is a direct variation if and only if the quotient between them, y/x, is constant. This is: y / x = k or, equivalently, y = kx.


Note that if y / x is constant, x / y is also constant.


In a direct variation, when x increases, y increases, and when x decreases, y decreases.


2) The relation between two variables, y and x, is an inverse variation if and only if their product, y×x is constant. This is: y × x = k or, equivalently y = k /x or x = k / y.


In an inverse variation when one of the variables increases the other decreases.


3) Writhe the given table and study whether the conditions for direct or inverse variation are met:

x      y              y/x                             y×x

-6    -72           -72/(-6) = 12             (-6)(-72) = 432

-4    -47           -47 / (-4) = 11.75       (-4)(-47) = 188

-3    -36           -36 / (-3) = 12           (-3)(-36) = 108

1       12             12 / 1 = 12                (1)(12) = 12


Conclusions;


a) Since neither y / x nor y×x have the same result for every pair, the relation is neither direct nor inverse.


b) Note that if the third pair were (-4, -48) instead of (-4, -47), y / x would be 12, which make a direct variation. In this case the function that modeled it would be:

         y = 12x.

8 0
3 years ago
Alicia has 3 1/6 yards of fabric. After making a tablecloth, she had 1 4/6 yards of fabric. Alicia said she used 2 3/6 yards of
Katarina [22]
An easier way to do this is to make the fractions improper fractions.
3 1/6 can be rewritten as 19/6. 1 4/6 can be rewritten as 10/6. (Multiply the denominator by the number at its side, and add it to the numerator). 
2 3/6 is 15/6.
Subtract 10/6 from 19/6.
19/6-10/6=9/6.
9/6 is not 15/6, therefore she did not use 2 3/6 yards of fabric.
3 0
3 years ago
Read 2 more answers
school taxes for a local district are 2.5% of a households income. the smith household earns 80,000. per year. how much do the s
Galina-37 [17]
2.5 % = 2.5/100 = 0.025

Multiply $80k by 0.025, so$2000 if my mental math serves correctly
4 0
3 years ago
Find the specified vector or scalar.
ElenaW [278]
Since \mathbf u+\mathbf v=(-4+4)\,\vec i+(1+1)\,\vec j=2\,\vec j

so the norm is

\|\mathbf u+\mathbf v\|=\sqrt{2^2}=2
8 0
3 years ago
Classify the following number. Select all that apply.
slega [8]

Answers: Rational, Integer

A rational number is anything we can write as a ratio or fraction of two whole numbers. In this case, -3 = -3/1 is the fraction of -3 over 1. This is why -3 is rational. This means it is not irrational. The literal definition of "irrational" means "not rational", which contradicts the previous statement of it being rational.

An integer is any positive or negative whole number. The value 0 is included as well. So -3 is also an integer. Any integer is a rational number, but not the other way around (eg: 2/3 is rational but not an integer).

The set of whole numbers is usually defined in your book to be {0, 1, 2, 3, 4, ...} which is the set of positive numbers without any decimal or fractional parts. The value 0 is included. We see that -3 is not in this set. So -3 is not in the set of whole numbers.

The set of natural numbers is {1, 2, 3, 4, ...} which is essentially the set of whole numbers, but kick out 0. This set is also known as the set of counting numbers. Like before, we don't see -3 in here so -3 is not in the set of natural numbers.

4 0
3 years ago
Read 2 more answers
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