Answer:
In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.
First, you should find the slope of the line. To do this, use the equation M=y2-y1/x2-x1. Using the two given points (3,6) and (8,4), you can solve for M.
M=4-6/8-3
M=-2/5 (-0.4 in decimal form)
Now, your equation is y=-0.4x+b
Next you must solve for b to find the y-intercept. You can do this by subbing one of the given points in for x and y.
Using the point (3,6):
y=-0.4x+b
6=-0.4(3)+b
6=-1.2+b
Isolate b:
6+1.2=b
b=7.2
And now you have the equation of the line!
y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)
Step-by-step explanation:
Answer:
36 people
Step-by-step explanation:
The expected value E(X) = mean of sample = np
Where, p = population proportion, p = 9% = 0.09
n = sample size, = 400
The mean of the number of people with genetic mutation, E(X) = np = (400 * 0.09) = 36
36 people
Answer:
The acceleration is 965 kg•ms^-2
Step-by-step explanation:
Mathematically;
Force = mass * acceleration
From the question;
Force = 1930 N (kg• ms^-2)
mass = 2kg
Acceleration = Force/mass = 1930/2 = 965 ms^-2
R/12 is the solution because it is how many times you can put r into 12
Answer:
½[5^(x-3)] - 2
Step-by-step explanation:
After being compressed:
½(5^x)
3 units right
½[5^(x-3)]
2 units down
½[5^(x-3)] - 2
