Is this table proportional or non-proportional?

Mathematics

1 answer:

Jlenok [28]3 years ago

3 0

Answer:

Proportional

Step-by-step explanation:

Proportional functions can be written as $y=kx$ , where $k$ is some constant of proportionality. Plugging in (x,y) pair into this function will yield a constant of proportionally of $k=\frac{3}{2}$ and since this constant is maintained through all the coordinate pairs in the table, the table is proportional.

You might be interested in

I hope someone can help me here please don't answer nonsense!

Karolina [17]

Answer:

30 degrees

Step-by-step explanation:

Angle B is an inscribed angle -- its vertex is on the circle and it intersects the circle in two points, <em>A</em> and <em>C</em>.

The measure of an inscribed angle is always one half the measure of the intercepted arc. The intercepted arc has measure 60 degrees, so the measure of angle B is 30 degrees.

8 0

2 years ago

Find the length of side xz give your answers to 3 significant figures

aleksandrvk [35]

Answer:

XZ ≈ 14.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = $\frac{adjacent}{hypotenuse}$ = $\frac{ZY}{XZ}$ = $\frac{12.6}{XZ}$

Multiply both sides by XZ

XZ × cos29° = 12.6 ( divide both sides by cos29° )

XZ = $\frac{12.6}{cos29}$ ≈ 14. 4 ( to 3 sig. figs )

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%7Bx%7D%5E%7B%20log_%7B3%7D%28x%29%20%7D%20%20%3D%2081%20%7Bx%7D%5E%7B3%7D%20" id="TexFormula1

BlackZzzverrR [31]

Answer:

x=81 or 1/3

Step-by-step explanation:

$x^\log_3(x)} =81x^3\\\log_3(x^{\log_3(x)})=\log_3(81x^3)\\\(\log_3x)(\log_3x)=\log_381+\log_3x^3\\(\log_3x)^2=3\log_3x^+4\\\\Let u=\log_3x\\\\u^2-3u-4=0\\(u-4)(u+1)=0\\u=4 \\4=\log_3x\\x=3^4=81\\\\u=-1\\-1=\log_3x\\x=3^{-1}=1/3$