Find the value of k given that both points lie on a line passing through the origin. (k,−24) and (5,40)

PLEASE HELP ASAP if you do thank u and have a blessed day

Step-by-step explanation:

Since the line passes through the origin, it must be a proportional/direct variation equation.

Direct variation equations have the form:

Where a is the constant of proportionality.

Let’s solve for a. We know that when x=5, y=40. So:

Divide both sides by 5:

Therefore, our equation is:

We want to find the value of k such that y=-24. So, subsitute -24 for y and k for x:

Divide both sides by 8:

Hence, the value of k is -3.

why do wages differ across industries

step-by-step explanation :

micro economists are concerned with economics on an industry or individual firm basis.

macro economists are concerned with national and international level

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