So when you are trying to find the solution to the system of equations make sure that you have it where y= -4/5x-6 and y= -30 are written like this:
-30=-4/5x-6
And then solve for x:
Add 6 on both sides.
-24=-4/5x
Then multiply by the reciprocal of -4/5.
-5/4*-24=-5/4*-4/5x
x=30
But then you are gonna want to plug 30 in for x in y=-4/5x-6 to make sure that it is the same as y=-30.
Answer:
It will take him 24 minutes
Step-by-step explanation:
If it takes him 4 for minutes to run 1/2 mile, then it will most likely take him 8 minutes for 1 mile. Then you multiply 8 by 3, which gives you 24
Answer:
The constant of proportionality is always the point (x, k * f (x), where k is the constant of proportionality.
Step-by-step explanation:
Let's take as example a linear function of the form: y = kx.
Where, k is the constant of proportionality.
Therefore, the proportionality constant is the point: (x, kx)
Generically it is always the point: (x, k * f (x)
Where, f (x) is a function proportional to x. The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.
I think you mean y=ab^x.
First, plug in the values of x=2 and y=24 for the first equation, and x=3 and y=48 for the second one:
24 = ab^2
48 = ab^3
divide equation 2 by equation 1:
2 = b^1
or, more simply:
2 = b
now plug b into one of the equations to get "a":
24 = a*2^2
24 = a*4
6 = a
So, the answer is y = 6(2)^x
(I think you need to specify the power of x in your answers)