Which of the following relations is a function?A. (2,4), (-5, 6), (2, 3), (-6, 2)
B. (8, 1), (-5, 4), (2, 1), (8, 2)
C. (2,4), (-5, 2), (8, 1), (-6, 2)
D.
(2,0).(-5, 3), (8, 1), (-5,5)
Answers
Answer: OPTION C
Step-by-step explanation:
A relation is a function when each input value has one and only output value.
For option A:
(2,4), (-5, 6), (2, 3), (-6, 2)
You can observe that the input value "2" has two output values. Then it is not a function.
For option B:
(8, 1), (-5, 4), (2, 1), (8, 2)
You can observe that the input value "8" has two output values. Then it is not a function.
For option C:
(2,4), (-5, 2), (8, 1), (-6, 2)
You can observe that each input value has only one output values. Then it is a function.
For option D:
(2,0).(-5, 3), (8, 1), (-5,5)
You can observe that the input value -5 has two output values. Then it is not a function.
For a set of data to be a function each x value has to have different y values.
A. (2,4), (-5, 6), (2, 3), (-6, 2)
B. (8, 1), (-5, 4), (2, 1), (8, 2)
D.(2,0).(-5, 3), (8, 1), (-5,5)
The bolded coordinates are the ones of each data set that makes it not a function. As you can see the x values all have different y values.
This leaves C. as the answer!
Hope this helped!
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Answers
Answer:
Prime Numbers 2, 3, 5
Divisible by 2 - 2, 4, 6
One is NOT a prime number.
So, there are 5 out of 6 numbers that are even or are prime.
This leaves only 1 number that isn't.
So, the probability is 5/6 that the number rolled will be prime or even.
Step-by-step explanation:
Answers
Step-by-step explanation:
f(x) = 3+x/x-3
Substituting x = a+2, we get
which is the final answer.
Please mark Brainliest if this helps!
Answer:
f(a + 2)= (5 + a) / (a - 1) or f(a+2)= (a+5)/(a-1)
Step-by-step explanation:
f(x)=(3+x)/(x-3)
To evaluate f(a+2), simply replace the x with a+2
f(a+2) = (3 + a+2)/(a+2 - 3)= (a+5)/(a-1)
or
To answer items such as this, we directly substitute the a + 2 to the all the x's in the function:
f(a + 2) = (3 + a + 2) / (a + 2 - 3)
Simplifying the function generated above:
f(a + 2) = (5 + a) / (a - 1)
Answers
Yes, they are equivalent.
Answers
Answer:
x = - 7
Step-by-step explanation:
Given the 2 equations
y - x = 9 → (1)
10 + 2x = - 2y → (2)
Rearrange (1) expressing x in terms of y by adding x to both sides
y = x + 9
Substitute y = x + 9 into (2)
10 + 2x = - 2(x + 9) ← distribute
10 + 2x = - 2x - 18 ( add 2x to both sides )
10 + 4x = - 18 ( subtract 10 from both sides )
4x = - 28 ( divide both sides by 4 )
x = - 7
Answers
Top:
4in x 9in = 36in^2
Bottom:
4in x 9in = 36in^2
Front:
5in x 9 in = 45in^2
Back:
5in x 9 in = 45in^2
Right:
4in x 5in = 20in^2
Left:
4in x 5in = 20in^2
Adding them all together:
36+36+45+45+20+20 = 202in^2
The surface area of the prism is 1. 202 in^2
Answers
Amount made by Kent for selling each crate = $3.14
Amount made by Kent by selling 41 crates = (3.14 * 41) dollars
= (314/100) * 41 dollars
= 12874/100 dollars
= 128.74 dollars
So the amount of money Kent makes by selling 41 crates of soda bottle is $128.74. this is the easiest way of solving such type of problems. I hope this method will help you to solve these kind of problems in future without requiring any help from others.
1 crate = 3.14
41 × 3.14 = 128.74
So, on 41 crates of bottled sodas he makes $128.74.
Hope I helped ya!!