50 points to whoever is right and brainliest. The graph shows a proportional relationship. Which equation matches the graph?

Step-by-step explanation:

Use one of the points on the graph to find the equation.

Let's take the point (1,3)

We know the proportional relationship is:

Substitute the values from the point and solve for k:

The function is:

Correct choice is B

The graph is in a proportional relationship (given)

Therefore, it is in the form y=kx where k is a constant(i)

Now in the graph we can locate that when the value of x is 1, the value of y will be 3

Putting the value of x and y in equation (i), we get

3=1×k

k=3

Now, putting the value of k in equation (i), we get

The equation of the graph is y=3x.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15