I need to find the mean of this it's really hard for me

Which equation does NOT represent a proportional relationship between two variables with the constant of proportinality of? 1/2

Dimas [21]

Answer:

(D) $y=x+\frac{1}{2}$

Step-by-step explanation:

Two variables x and y are proportionally related if they can be written in the form y=kx, where k is the constant of proportionality.

From the given options, if $k=\frac{1}{2}$

(B) $y=\frac{1}{2}x$ is of the form y=kx

(C) $y=\frac{3}{6}x$ is of the form y=kx with $k=\frac{1}{2}$ as $\frac{3}{6}=\frac{1}{2}$ in its lowest form.

(C) $y=0.5x$ is of the form y=kx with $k=\frac{1}{2}$ as $0.5=\frac{1}{2}$ in fractional form.

On the Contrary,

In Option D, $y=x+\frac{1}{2}$ does not represent a proportional relationship between x and y. The constant of proportion is supposed to be a product of x.

6 0

3 years ago

From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square

timama [110]

Answer:

α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

(x -α)(x -β) = 0

Expanding this, we get ...

x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

(α +β)² = α² +β² +2αβ

α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

α² +β² = 3 4/9

4 0

2 years ago

Y=-2/3x+2 how to graph

Nikolay [14]

Step-by-step explanation:

Starting from y-intercept of [0, 2], you can either move two blocks north over 3 blocks west or two blocks south over three blocks east. Either way, you will still get this line because this is a negative rate of change [slope].

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**I have a video that explains something like this. It is titled "Finding Slopes, y-intercepts, Perpendicular Equations, and Parallel Equations". I encourage you to watch the video and gain alot more knowledge from it, so you can better understand the concepts.