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alexandr402 [8]
2 years ago
13

Find the constant of proportionality (r) in the equation y=rx

Mathematics
2 answers:
ahrayia [7]2 years ago
8 0

Answer:

r = \frac{1}{4}

Step-by-step explanation:

Given the proportional equation

y = rx ← r is the constant of proportion

Divide both sides by x

\frac{y}{x} = r

Use any ordered pair from the table.

Using (8, 2 ) , then

r = \frac{2}{8} = \frac{1}{4}

Vlad1618 [11]2 years ago
4 0

Answer:

1/4

Step-by-step explanation:

Multiplying the input (x) by (1/4) results in the output.  This is direct proportion, and the constant of proportionality is (1/4).

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Find the inverse function for
kifflom [539]
\bf \stackrel{f(x)}{y}=\sqrt{2x-6}\qquad \qquad \stackrel{f^{-1}(x)}{y}=\cfrac{x^2+6}{2}

that is correct hmmmm, yes, I think the restriction is also correct, it has to be x > 0, because, the domain on the original, has a restriction of x⩾3, otherwise the radicand turns negative.

now, the graph of that original function is a parabola sideways opening to the right, if you include both sides of the vertex of the parabola, it will not pass the vertical-line-test and not be a function, but if you restrict it to only positive roots, so it'll only be on the 1st quadrant, then it functions ok.

that means, the range of the original function, has to stick to only 0 or positive root values, now, recall that the range of the original is the domain of the inverse.  Therefore, the domain of the inverse, will have to stick to only 0 or positive values, since it's bound to the same restriction as the original's range.

notice the picture below of both, the dashed section is the positive range for each, if you include it, the original will fail the vertical-line-test, and the inverse will fail the horizontal-line-test.

recall that for a function to have an inverse, they both must pass the vertical and horizontal line test, or be a one-to-one functions.

6 0
3 years ago
-2/3,0.6,3/4,-7/4,0,3 from least to greatest
Alja [10]

Answer:

-7/4 < -2/3 < 0 < 0.6 < 3/4 < 3

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP GUYS RIGHT NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Margarita [4]

Answer:

Im on the same question so dont copy word for word

Step-by-step explanation:

The first error he made is that he didn't do the right steps in order to find the area of the two triangles. Instead he should have done 0.5 X 16 X 15 X 2= 240

Then the area for the three rectangles should be 16 X 8 + 17 x 8 + 17 X 8 = 400

If you add it all together, the surface area is actually 640 square meters.

7 0
3 years ago
How do you do this problem 2/5+4a=-6/5 what does A = to?
a_sh-v [17]

Answer: A = -2/5

Step-by-step explanation:

- 6/5 - 2/5 = - 8/5 aka - 1 3/5

-1 3/5 ÷ 4 = - 2/5

4 0
3 years ago
Any one that knows this please help thanks!
yulyashka [42]

Replace the x with 9, and the y with 1.

(x · y²)/-5 becomes (9 · 1²)/-5

1² is just 1, so you're doing 9 × 1 (which is = 9) over -5.

Therefore, your final answer is -9/5.

4 0
3 years ago
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