Describe how an equation in three variables can be represented as a function and as a graph
Answers
Two-variable equations/single-variable functions
When some variable depends in some way or another on another variable or variables, we say that it's a function of those other variables. In the simplest case, we can have a function of a single variable. The relationship "y is twice as big as x" describes y as a function of x, and we can express it with the function y = 2x. A graph of this function requires two dimensions, with one axis for each variable (see the first picture). Notice that while y is a function of a single variable, it's a part of an equation in two variables.
Three-variable equations/two-variable functions
Let's take a look at an equation of three variables - for this example, the equation [tex]-2x+y-z=0[/tex]. Currently, this is an example of an implicit function; there's a relationship between the variables, but the equation's form doesn't favor any one in particular. To make this a function, we can add z to both sides, giving us the new equation:
[tex]z = -2x+y[/tex]
Here, z is now a function of both x and y. We can pick whatever value we'd like for x and y, and those choices will fix a certain value of z. For instance, picking x = 1 and y = 2 gives us [tex]z=-2(1)+2=-2+2=0[/tex].
To graph this function, we now need 3 dimensions and 3 axes: an x-axis, a y-axis, and z-axis. See the second photo for a graph of this function.
TL;DR: An equation in three variables can be represented as a function by solving for one of the variables, and graphed in three dimensions, with one axis for each variable.
Related Questions
Plzzzzzz answer fast with work.
5G+14=5G-4/4
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Jalaysha is three years less than twice as old as Ben, and Maureen is two years older than Ben. Write an expression for Jalaysa and Maureen's ages in terms of Ben'sunknown age, b.
Write in simplest Standard Form
jalaysha age:
Maureen's age:
Answers
Answer:
3 - 2 x b
For jalaysha's age.
b + 2
Is maureen's age
Answer:
3-2*b=j
2+b=m
Step-by-step explanation:
pls help me...........
Answers
Answer:
19
Step-by-step explanation:
a square pyramid has a volume of 30 cubic millimeters and a height of 5 mm what is the area of the base of the pyramid
PLEASE HELP ME AND IF U GIVE ME A LINK OR A FILE I SWEAR.
Answers
Answer:
Step-by-step explanation:
V=hb/3, where b=area of base
b=3V/h, since V=30mm^3 and h=5mm then
b=3(30)/5
b=18 mm^2
So the area of the base is 18 square millimeters.
What is the answer for this 1/3x=-4/5
Answers
Answer:
x = -12/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
1/3x = -4/5
Step 2: Solve for x
[Division Property of Equality] Divide 1/3 on both sides: x = -12/5Find the area of the circle.
Answers
Answer:
314.00
Step-by-step explanation:
Answer:
15.70
Step-by-step explanation:
A=r^2
Adding & Evaluate 6 + 2 - (-1) + (-8).
Answers
Answer:
0.66071428571429
Step-by-step explanation:
Answer:
the answer should be 1
Step-by-step explanation:
Remove parentheses.
6+2−(−1)−8
Multiply −1 by −1.
6+2+1−8
Add 6 and 2.
8+1−8
Add 8 and 1.
9−8
Subtract 8 from 9.
1
CAMO is a rectangle with diagonals intersecting at W. WA = 4x - 3 , CW = x + 6 , and AO = 22 Find x.
Answers
Answer:
x = 3.5
Step-by-step explanation:
diagonals bisect each other so AW = OW
since AO = 22 then AW = 11
11 = 4x - 3
14 = 4x
x = 7/2 or 3 1/2
balance the equation 45=r+13
Answers
Answer:
45=32+13
Step-by-step explanation:
because you need to get 45 on the other side to balance it out
Answer:
32
Step-by-step explanation:
45=r+13
r=45-13
r=32
7. No Broken Hearts [2.5 Points]Robert has a standard deck of 52 playing cards. Robert shuffles the deck, draws a card, andchecks if the card has a suit of hearts. If the card has a suit of hearts he stops. Otherwise,he replaces the card back into the deck and continues to repeat this process until he drawsa card that has a suit of hearts.a) What is the probability that Robert performs exactly 5 draws
Answers
Answer:
0.079
Step-by-step explanation:
Number of suit of hearts = 13
Total number of cards in deck = 52
P(drawing a suit of heart) = number of suit of heart / total number of cards in deck
P(drawing a suit of heart) = 13 /52 = 1 /4
Hence, Probability of success, p = 1/4
P(not drawing a suit of heart) = 1 - 1/4 = 3/4
Hence, Probability of performing exactly 5 draws :
To perform exactly 5 draws :
1st draw = not a heart suit
2nd draw = not a heart suit
3rd draw = not a heart suit
4th draw = not a heart suit
5 draw = a heart suit
P(performing exactly 5 draws) =
(3/4 * 3/4 * 3/4 * 3/4 * 1/4)
= 0.0791015625
= 0.079
What is the value of 4 + 5x when x = 3? (3 points) a 11 b 12 c 17 d 19
Answers
Answer:
D) 19
Step-by-step explanation:
4 + 5x
4 + 5(3)
4 + 15
19
Answer:
D. 19Step-by-step explanation:
Since x = 3, replace any x in the equation with 3.
4 + 5 (3) =
multiply 5 • 3
4 + 15 = 19
Can someone help me with my math work please?
Answers
I Will Number All The Answers Below, and give my best explanation :D
6.
Jay Has 10 Tallies, When There Is 10 Tallies, Normally It Means the number 10
Madison Only Has 3 Tallies, therefore Madison has 3
Kimberly Has 7 Tallies, Which Means Kimberly has 7
7. You See Those Squares On The Graph? You Are Going to color them out
Jay Has 10 tallies, so you will will those squares out 10 times on Jays side
Madison Has 3 Tallies, so you are going to fill 3 Boxes for maddison
Kimberly Has 7, So you are going to fill Kimberly's box 7 times
8. How Many Bottles Did Kimberly Bring? She Brung 7 Bottles
9. Maddison Brough The Least Bottles, Which is 3
Hope This Helped :D
-Deadly
Is this statement True. A system of independent equations has infinite solutions
Answers
Answer:
It's true.
Step-by-step explanation:
WERE
BENE
What is the value of x in the equation 1 x - y = 30, when y = 15?
4
8
80
200
Answers
Answer: it will be 45, but for some reason it’s not in your answer choices
Step-by-step explanation:
Explain how the function y=-1/3|x+2|+5 compares to the function y=|x|
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Answer:
y=-1/3|x+2|+5 is upside down compared to y=|x|, and the slope 1/3 that of y=|x|, the vertex is also shifted left by two units and up by 5.
Step-by-step explanation:
7)
Which could be solved for x?
-0)
A)
2x+2
B)
3(x+ 2)
)
D)
1 / 8x = 12
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look at the picture I attached
Answers
Answer:
6
im not really sure how to explain this, using the number line go from -2 to 4, getting you to 6 spaces
Write an algebraic expression that represents 2 less than 18 times a number?
Answers
Answer:
Step-by-step explanation:
18x-2
Answer:
2‹18x
2 is less than 18 timesX
CAN SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP JUST PLEASE HELP ME WITH MY HOMEWORK AND PLEASE EXPLAIN HOW YOU GET YOUR ANSWER I WILL GIVE YOU BRAINLIST
Answers
Answer:
the simplest way to finish your hw is to ask the Q of your hw here instead of asking us to help with your hw
Which number is prime 9,10,11,12
Answers
Answer:
11
Step-by-step explanation:
A prime number is a number that cannot be factored other than 1 and that number is self thus, 11 will be the prime number.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
A prime number is a number that cannot be factored other than 1 and that number is self.
For example, 9 can be written as 3 x 3 thus it will not prime number and 11 cannot be written as two products other than 1 x 11 thus it will be a prime number.
Hence "A prime number is a number that cannot be factored other than 1 and that number is self thus, 11 will be the prime number".
For more about the number system,
https://brainly.com/question/22046046
#SPJ2
At the store, you see oranges on sale at 1 pound for 3 dollars. At a different store, your brother sees oranges on sale at 3 pounds for 8 dollars.
Do the oranges cost the same at both stores?
Which store offers a better deal?
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Finding angle measures between intersecting lines. Note: Angles necessarily drawn to scale. x=__
Answers
Answer:
x=25+30=55 since the vertically opposite angle are equal.sorry the no is not clear in question
Answer:
[tex]\boxed{\tt x= 45^{\circ}}[/tex]
Step-by-step explanation:
∠BEG and ∠DEB combine to form ⇒ ∠DEG, which is a vertical angle with ∠x because it's the opposite from ∠x.
(Vertical angles are always congruent, or of equal measure)
So, [tex]\tt \angle BEG +\angle DEB=\angle x[/tex]
[tex]\tt \angle BEG +\angle DEB=\angle x[/tex]
[tex]\tt 25^{\circ}+20=x[/tex]
[tex]\tt 45^{\circ}=x[/tex]
[tex]\tt x= 45^{\circ}[/tex]
_____________________________
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: G is the answer
Find the common difference of the arithmetic sequence − 16 , − 19 , − 22
Answers
Answer:
3
Step-by-step explanation:
What are the x 2x + 4 = x + 18
Answers
Step-by-step explanation:
2x+4=x+18
2x-x=18-4( Addition on the Right hand side changes to subtraction on the left hand side and wise-versa.)
1x=14
1x(1*x so X itself)
X=14
Answer:
x+2x+4_x_18=0
2x_14=0
x=14÷2
x=7
what are the factors to a2+11a+30
Answers
Step-by-step explanation:
hope this is helpful to you
Select the correct answer.
A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location.
By the central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within?
Answers
From the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.
How to use the Central limit theorem?
We are given;
Population Mean; μ = $265
Population standard deviation; σ = $40.93
Sample size; n = 130
The central limit theorem (CLT) postulates that the distribution of sample mean approximates a normal distribution with larger sample sizes, disregarding the population's distribution.
This implies that sample sizes equal to or greater than 30 are often considered sufficient for the Central limit theorem to hold.
Thus, by the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.
Read more about Central limit theorem at; https://brainly.com/question/17097944
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Answer:
See image below
Step-by-step explanation:
In AUVW, the measure of ZW=90°, UV = 96 feet, and VW = 58 feet. Find the measure of V to the nearest degree.
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Answer:53
Step-by-step explanation:
Answer:
Step-by-step explanation:
15x^2+5x GCF help. out please
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Answer:
5x is the GCF
Step-by-step explanation:
Help plz tyyy.... hurry!
Answers
Answer:
0%
Step-by-step explanation:
im not sure but i got the answer because the square was not have any color