Answer:
Step-by-step explanation:
y = mx +b
Here , m is the slope and b is the y-intercept
y = (1/2)x - 3
y-intercept = -3
Answer:
x= -2 and x = 6
Step-by-step explanation:
The solutions are where the two graphs intersect
x=6, y= 10 is one point
x=-2 and y = -6 is the other point
This is a parabola, meaning the equation is a quadratic, so it has 2 roots or x-intercepts, keeping in mind that vertex will lie half-way between those intercepts.
so what's the x-value halfway between -3 and 7? yeap, you guessed it, 2.
so the axis of symmetry for this vertical parabola will be at x = 2.
Answer:
-127
Step-by-step explanation:
n = 32
-3 - 4(32 - 1)
-3 - 4(31)
-127
Answer:
Half-life of the goo is 49.5 minutes

191.7 grams of goo will remain after 32 minutes
Step-by-step explanation:
Let
denotes initial and final mass.

According to exponential decay,

Here, t denotes time and k denotes decay constant.

So, half-life of the goo in minutes is calculated as follows:

Half-life of the goo is 49.5 minutes

So,

Put 

Put t = 32 minutes
