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Archy [21]
3 years ago
8

For example, Let's say I am graphing a proportional relationship even If it doesn't go through origin and it is an equivalent ra

tios, Is it proportional or does it have to go throught the origin to be proportional?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

A proportional relationship is described by the equation

... y = k·x

The point (x, y) = (0, 0) is <em>always</em> a solution to this equation.

_____

In short, if the relationship is proportional, its graph will go through the origin. If the graph does not go through the origin, the relationship is not proportional.

___

Note that this is true if the domain includes the origin. You can have y = kx <em>for x > 10 </em>and the graph will <em>not</em> go through the origin because the function is <em>not defined</em> there.

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Suppose y varies directly as x, and y = 8 when x = -2. Which of the following is the correct equation to set up to solve for the
slavikrds [6]

\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} y=8\\ x=-2 \end{cases}\implies 8=k(-2)

7 0
3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Elza [17]

Answer:

C. F(x) = 0.4^2-1

Step-by-step explanation:

Since the function is being subtracted by 1, this means it will shift 1 unit downwards. When the number being multiplied to the function is less than one, it widens, which in this case the number 0.4 is less than 1.

4 0
3 years ago
Marco made of rectangular prism using 1/2 m cubes the rectangular prism has a volume of 5 m³ how many cubes did Marco use
Nookie1986 [14]
Ok so
1 find volume of 1 cube
2. find total volume of rectangular prism

1/2 m cubes
volume=side^3
side=1/2m (I guess since that was what was given)
v=1/2^3=1/8

so
volume of 1 cube times number of cubes=total volume
1/8m^3 times number of cubes=5m^3
multiply both siides by 8/1 m^3 to clea fraction (since 8/1 times 1/8=8/8=1)
number of cubes=40


needs 40 cubes
8 0
3 years ago
To the nearest hundredth, what is the value of x?<br><br> 42.15<br> 43.11<br> 52.07<br> 54.26
Gnesinka [82]

Answer:

52.07

Step-by-step explanation:

sin of an angle is the opposite side over the hypotenuse

sin 51 = x/67

Multiply each side by 67

67 sin 51 = x

52.06877942 =x

Rounding to the nearest hundredth

52.07 =x

3 0
3 years ago
Condense: log x + log y
Drupady [299]

Answer:

log(xy)

Step-by-step explanation:

Do notice that this only works when the bases of the logs are the same

written in exponent form, this rule is : a^x * a^y = a^(x+y)

8 0
3 years ago
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