Use the form y=mx +b for linear equations. Write the equation for the following relation. A = {(x, y): (1, 2), (2, 5), (3, 8), . . .}
Answers
#1 - 3, 1, 2
#2 - x+2y=4
#3 - y=3x-1
Related Questions
2: find the slop and the y-intercept of the line represented by the equation.7x + y = 8 I am having trouble with these, could someone please help me.
The amount of a chemical solution is measured to be 2 liters. What is the percent error of the measurement?2.5% 5% 25% 50%
Solve for x. 5x - 6 = 4x + 8
A swimming pool holds 900 cubic meters of water. If its length is 20 meters and its height is 3 meters, find its width
Answers
The notation ">=" without quotes means "greater than or equal to"
The upper case "U" means "set union"
Instead of using the intersection symbol, I will use a lower case 'n'
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Problem 1
A = {x | x < 1} which is the set of x values smaller than 1
B = {x | x >= 5} is the set of x values that are equal to 5 or larger
A U B = set of values that are from set A OR they are from set B (or both)
A U B = {x | x < 1 or x >= 5}
we simply connect the two inequalities mentioned with an "or"
note: how there is no overlap between the two regions. The "U" means "set union" which is like a sort of glue to tie the two sets together with an "or".
Answer: {x| x < 1 or x >= 5}
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Problem 2
A = {x | x < 1}
C = {x | x = 5} which is the set of one value only: 5 (x cannot equal any other value)
A U C = {x| x < 1 or x = 5}
So if a number is in set A U C, then this number is either less than 1, OR it is equal to 5
Answer: {x|x < 1 or x = 5}
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Problem 3
B U C = {x | x >= 5} because set C already has the "or equal to" part in there.
Set C is a subset of set B. If an item is in set C, then it is also in set B.
Answer: {x| x >= 5}
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Problem 4
Again recall that I'm using an 'n' to indicate "set intersection" instead of the upside down "U" symbol
A n B is the set of items that are in BOTH sets A and B at the same time. From problem 1, I mentioned there's a gap. There is no x value that is both less than 1 AND greater than or equal to 5. So this means that
A n B = empty set
which we use the "O" with a slash through it. This is a special symbol to indicate "empty set"
Another way to write "empty set" is to use curly braces with nothing inside like so { }
Answer: The "O" with a slash through it
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Problem 5
B n C is the same as {x| x = 5}
Why? Because if an item is in B n C, then it has to be in BOTH set B and set C at the same time. The only way this happens is if x = 5. If x is any other value, then it won't be in set C
Answer: {x| x = 5}
Answers
which is bigger 30% or 1/3
it is 1/3
14 m
13 m
Answers
Answer:
130 square metres
Step-by-step explanation:
The shaded area is a trapezium.
Therefore, the rule for its area is base1+base2/2xh
base1=6
base2=14
height = 13
Therefore, 6+14/2 x 13
= 130
Hope that helped!!! k
Answer:
130 meters squared
Step-by-step explanation:
14-6=8
8*13/2=52
14*13=182
182-52=130 meters
Answers
38.55 / 100 = 0.3855
0.3855 x 15 is 5.7825 dollars of tip or 5.80 estimate
Happy to Help!
Answers
Answer:
a. Equation is 3x - 2y = 0
b. x = 6 and y = 9
Step-by-step explanation:
a.
Given that
The Weight of the square is y
And, the weight of the triangle is x
Now the equation according to the attached diagram is
x + 3y = 4x + y
4x - x + 3y - y = 0
3x - 2y = 0
b.
Now if x = 6
So, y would be
3x - 2y = 0
3x = 2y
3(6) = 2y
18 = 2y
y = 9
We simply applied the above equation so that the correct value could come
And, the same is to be considered
Final answer:
The equation x + y = x + y represents the hanger with the weights of the triangle and square. When x is 6, y can be any value.
Explanation:
The question asks for an equation to represent the hanger with the weights of the triangle and square. Since the weight of the triangle is represented by x and the weight of the square is represented by y, the equation can be written as x + y = x + y. This equation shows that the sum of the weights on each side of the hanger is equal.
To find the value of y when x is 6, we can substitute the value of x into the equation. x + y = 6 + y. By subtracting y from both sides, we get x = 6. Therefore, when x is 6, y can be any value since it cancels out from both sides of the equation.
Learn more about Equations here:
#SPJ11
A) 264ft/minute
B) 60ft/minute
C) 15840ft/minute
D) 88ft/minute
I NEED HELP ASAP!!!!! PPPPPPPPPLLLLLLLLEEEEEEEEEAAAAAAAAASSSSSSSSSSEEEEEEEE!!!!!
Answers
Answer: A) 264ft/minute
Step-by-step explanation:
1. Based on the information given in the problem, the speed of the track runner was 3 miles per hour ().
2. If you want to know the speed of the track runner in feet per minute, you need to apply the following proccedure:
3. Therefore, the answer is the option A.