Answer:
- Inverse Variation
- Equation: 
Step-by-step explanation:
Given
X-> 2 | 4 | 8 | 12
Y-> 6 | 3 | 3/2 | 1
Required
- State the type of variation the table represents
- Determine the equation to model the data
To check for type of variation; we'll make use of trial by error method.
To start with; We'll check for direct variation.
This is done using the following expression;
where k is the constant of variation
Make k the subject of formula
When Y = 6, X= 2
When Y = 3, X = 4
There's no need to check further as both values of k are not equal
To check for inverse variation;
Make k the subject of formula
When Y = 6, X= 2
When Y = 3, X = 4
When Y = 3/2; X = 8
When Y = 1, X = 12
Note that for all values of X and Y, K remains constant;
Hence, the table represents an inverse direction
To determine the equation;
We make use of
Substitute 12 for k
So, the equation becomes
Reorder
Hence, the equation is
Answer:
Each friend got 6 cars each
Step-by-step explanation:
17-5= 12 cars
He gave 12 cars away.
Since there are 2 friends, you divide the cars given away by 2, hence
12/2= 6
Depends on which rate of change you're talking about. The rate of change is another term for a slope of a function. There's two(2) different version of rate of change.
First version one is the instantaneous rate of change. aka derivative. This one is found simply by taking the derivative of a function.
Second version is the average rate of change, which is found using the slope formula, (y₂ - y₁)/(x₂ - x₁)
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Initial value problem should give you an initial point (x, y) to plug into your function. You plug those x,y value in to find your answer.
There's variation of initial value problems so I can't give you any specific details on how to do it unless you can post the question.
Answer:
x = 76.80°
4x - 142 = 165.18°
x/5 = 15.36°
5x/9 + 60 = 102.66°
Step-by-step explanation:
Total angle in a quadrilateral is 360
x + 4x - 142 + x/5 + (5/9)x + 60 = 360
259x/45 + - 82 = 360
259x/45 = 442
x = 76.7953668
x = 76.80°
4x - 142 = 165.18°
x/5 = 15.36°
5x/9 + 60 = 102.66°
Answer:
segment SV
Step-by-step explanation:
Observing the figure
we know that
The side that is common to triangle SUV and triangle VTS is only the segment SV
There are no common angles to triangle SUV and triangle VTS
therefore
The answer is the segment SV
