That is a rational number since you can write it as a ratio (=fraction).
x(-1,3) y(3,0) z(-1,-2)
xy
m = (3 + 1)/(0 - 3) = 4/-3 = -4/3
y - 3 = -4/3(x + 1)
y - 3 = -4/3x - 4/3
xy: y = -4/3x + 5/3
yz
m = (0 + 2)/(3 + 1) = 2/4 = 1/2
y = 1/2(x - 3)
yz: y = 1/2x - 3/2
xz
m = (3 + 2)/(-1 + 1) = 5/0 = undefined
y - 3 = undefined(x + 1)
xz: x = -1
xy: y = -4x/3 + 5/3
yz: y = x/2 - 3/2
xz: x = -1
Answer: the system of equations are
x + y = 35
3x + 2y = 100
Step-by-step explanation:
Let x= the number of short answer questions.
Let y= the number of multiple choice questions.
Noah wants 35 questions on the exam. This means that
x + y = 35
He plans to mix short answer questions, worth 3 points, with multiple choice questions worth 2 points. This means that x short answer questions will give 3x points and y multiple choice questions will give 2y points
Since the exam is worth 100 points, then,
3x + 2y = 100 - - - - - - - -1
Substituting x = 35 - y into equation 1, it becomes
3(35 - y) + 2y = 100
105 - 3y + 2y = 100
y = 105 - 100 = 5
x = 35 - y = 35 - 5
x = 30
Answer:
90
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
22.5 times 3.32 results in 74.7, or A.
