Which two points are on the graph of y = x - 3?
2 answers:
Answer:
(0, -3), (4, 1)
Step-by-step explanation:
Given: Graph of y = x - 3
We need to find which points are on the graph of y = x - 3 .
A point is said to lie on the graph of y = f(x) if it satisfies the equation. i.e if
Here, we will first check if points (0, - 3), (4, 1) lie on the graph:
For (0, - 3):
L.H.S = y = - 3
R.H.S = x - 3 = 0 - 3 = - 3
L.H.S = R.H.S
So, (0, - 3) satisfies the given equation.
For (4, 1):
L.H.S = y = 1
R.H.S = x - 3 = 4 - 3 = 1
L.H.S = R.H.S
So, (4, 1) satisfies the given equation.
Therefore, two points (0, - 3), (4, 1) satisfy the equation y = x - 3
You might be interested in
The values of a and b are a = 33% and b = 43% ⇒ last answer
Step-by-step explanation:
The venn-diagram contains:
- A circle labeled blue 32
- A circle labeled gold 25
- The two circles are overlap with label 12 on the overlap
The table:
→ Band : blue : N.b : total
→ gold : 16% : a : 49%
→ N.g : b : 8% : 51%
→ Total : 59% : 41% : 100%
We need to find the values of a and b
From the table
16% represents the percentage of blue and gold uniforms (2nd row with 2nd column)
From venn-diagram
The common part of blue and gold label with 12 (overlap of two circles)
∴ 16% of the total number of students = 12
∵ 16% × x = 12
∴ × x = 12
∴ 0.16 x = 12
- Divide both sides by 0.16
∴ x = 75
∵ x represents the total number of students
∴ The total number of students were asked is 75
From the table
b represents the percentage of blue but not gold uniforms (3rd row and 2nd column)
From venn-diagram
The part that has blue and not gold labeled with 32 (the part of the blue circle not in the gold circle)
∴ 32 of the total number of students like the blue but not gold
- Divide 32 by the total 75 , then multiply the quotient by 100%
to find the percentage of blue but not gold
∴ b = × 100% = 42.6666%
∴ b ≅ 43%
From the table
a represents the percentage of gold nut not blue uniforms (2nd row and 3rd column)
From venn-diagram
The part that has gold and not blue labeled with 25 (the part of the gold circle not in the blue circle)
∴ 25 of the total number of students like the gold but not blue
- Divide 25 by the total 75 , then multiply the quotient by 100%
to find the percentage of gold but not blue
∴ a = × 100% = 33.3333%
∴ a ≅ 33%
The values of a and b are a = 33% and b = 43%
To check your answer complete the table you will find the total of it is 100% ( for the columns 16% + 43% = 59% , 33% + 8% = 41% , then 59% + 41% = 100%, for the rows 16% + 33% = 49% , 43% + 8% = 51% , then 49% + 51% = 100%)
Learn more:
You can learn more about the probability in brainly.com/question/3756853
#LearnwithBrainly