Answer:
-9
Step-by-step explanation:
What b represents here is the y intercept.
The first thing we will do here is to find the slope.
Mathematically;
m = (y2-y1)/(x2-x1)
Plugging the values;
m = (12-3)/(7-4) = 9/3 = 3
The equation can thus be written as;
y = 3x + b
To get b, we can use any of the points since they lie on the line
Let’s use point M
Substitute the values of x and y in the equation
3 = 3(4) + b
3 = 12 + b
b = 3-12 = -9
• Use slope to graph linear equations in two variables.
• Find the slope of a line given two points on the line.
• Write linear equations in two variables.
• Use slope to identify parallel and perpendicular lines.
• Use slope and linear equations in two variables to model and solve real-life problems.
2
Answer:
Step-by-step explanation:
N = 3rt^4 - 5rz
now factor r out
N = r(3t^4-5z)
divide by r on both sides
N/r = (3t^4 - 5z)
subtract (3t^4)
N/r - 3t^4 = -5z
now divide by -5 to isolate the variable (z)
= z
The tickets aren't replaced, so multiply the probabilities, decreasing the denominator each time.
a) 1/48
b) (1/48)(1/47)
c) (1/48)(1/47)(1/46)(1/45)(1/44)(1/43)
Answer:
x = 3
Step-by-step explanation:
4x + 50 + 28 = 90
4x + 78 = 90
4x = 12
x = 3
