B.9/-16 and <span>E.-9/16
:)))))))))</span>
Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.
Step-by-step explanation:
Answer:
a) The half life of the substance is 22.76 years.
b) 5.34 years for the sample to decay to 85% of its original amount
Step-by-step explanation:
The amount of the radioactive substance after t years is modeled by the following equation:
In which P(0) is the initial amount and r is the decay rate.
A sample of a radioactive substance decayed to 97% of its original amount after a year.
This means that:
Then
So
(a) What is the half-life of the substance?
This is t for which P(t) = 0.5P(0). So
The half life of the substance is 22.76 years.
(b) How long would it take the sample to decay to 85% of its original amount?
This is t for which P(t) = 0.85P(0). So
5.34 years for the sample to decay to 85% of its original amount
Answer:
A.
Gradient: 4
x-intercept: (1,0)
y-intercept: (0,-4)
B.
Gradient: - 3
x-intercept: (-1,0)
y-intercept: (0,-3)
Line y=5x=40
x-intercept: 8
y-intercept: 40
Step-by-step explanation:
y -5x = 40
x-intercept: 0-5x=40
-5x = 40. x = 40/-5
x = -8
y-intercept: y -0 = 40
y = 40
This problem is very simple. Knowing that y=2, plug 2 into the "y" in the equation: -x+2(2)=8
-x+4=8
subtract 4 on both sides of the equation:
-x=(8-4)
-x=4
Divide both sides of the equation by (-1):
x=(-4)