Answer:
→ The table is:
→ x → -1 → 0 → 1
→ y → -3 → 0 → 3
The graph of the line is figure d
Step-by-step explanation:
∵ y = 3x
∵ x = -1, 0, 1
→ Substitute the values of x in the equation to find the values of y
∴ y = 3(-1) = -3
∴ y = 3(0) = 0
∴ y = 3(1) = 3
→ The table is:
→ x → -1 → 0 → 1
→ y → -3 → 0 → 3
∵ The form of the linear equation is y = m x + b, where
∵ y = 3x
→ Compare the equation with the form
∴ m = 3
∴ b = 0
→ That means the slope is positive, then the direction of the line must
be from left tp right and passes through the origin
∴ The graph of the line is figure d
Answer:
N(AUC∩B') = 121
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121
Step-by-step explanation:
Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.
Given;
N(A) = 150
N(B) = 204
N(C) = 206
N(A∩B) = 75
N(A∩C) = 100
N(B∩C) = 98
N(A∩B∩C) = 38
N(Total) = 500
How many students like Reese's Peanut Butter Cups or Snickers, but not Twix;
N(AUC∩B')
This can be derived by first finding;
N(AUC) = N(A) + N(C) - N(A∩C)
N(AUC) = 150+206-100 = 256
Also,
N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135
N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121
N(AUC∩B') = 121
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121
See attached venn diagram for clarity.
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part
Answer:
17.83in
Step-by-step explanation:
Answer:
The answer is the option C
The graph in the attached figure
Step-by-step explanation:
Let
x------> the number of notebooks
y-----> the number of tablets
we know that
The inequality that represent the situation is equal to
Using a graphing tool
see the attached figure
The solution is the triangular shaded area
Answer:
x = -5 ±4sqrt(3)
Step-by-step explanation:
(x + 5)^2 = 48
Take the square root of each side
sqrt((x + 5)^2) = ±sqrt(48)
x+5 = ±sqrt(16*3)
x+5 = ±4sqrt(3)
Subtract 5 from each side
x = -5 ±4sqrt(3)