Answer:
On a recent day, 8 euros were worth $11 and 40 euros were worth $55. Enter an equation of the form y = kx to show the relationship between the number of euros and the value in dollars. First solve k which is the slope so k = ( 55- 11) / ( 40 -8) = 1.375
Y= 1.375x
Step-by-step explanation:
Answer:
So the idea is that we want to find the total number of ways that we can pick 7 diamonds (real or fake) from the 12 diamonds.
So as you said, 12 choose 7 = 792
Now we need the total number of ways that we can satisfy that of the 7 we picked, exactly three are real, but this also means that four are fake.
So to choose 3 real from 5 is 5 choose 3 = 10
And to choose 4 fake from 7 is 7 choose 4 = 35
3x10/792= 350/792= 175/396
The linear equation that describes the data is f(x) = 2x - 4
Step-by-step explanation:
The form of the linear equation is y = mx + b, where
- m is the slope of the line which represents the equation
- b is the y-intercept (y at x = 0)
The formula of the slope is 
,
where 
and 
are 2 points on the line
The table:
→ x : 3 , 5 , 6 , 9
→ f(x) : 2 , 6 , 8 , 14
To find the equation use any two points from the table above
∵ f(x) = y
∵ = (3 , 2)
∵ = (5 , 6)
- Use the formula of the slope to find m
∵ 
∴ m = 2
Substitute the value of m in the form of the equation below
∵ y = mx + b
∴ y = 2x + b
To find b substitute x and y in the equation by the coordinates of any point from the table above
∵ x = 6 and y = 8
∴ 8 = 2(6) + b
∴ 8 = 12 + b
- Subtract 12 from both sides
∴ -4 = b
- Substitute the value of b in the equation
∴ y = 2x + (-4)
∴ y = 2x - 4
∴ f(x) = 2x - 4
The linear equation that describes the data is f(x) = 2x - 4
Learn more:
You can learn more about the linear equation in brainly.com/question/9801816
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your computer is cracked
Step-by-step explanation:
makes it hard to see here
Answer:
Option C: The line y = x
Step-by-step explanation:
Let us take an ordered pair (x, y) of a function. Then the ordered pair of its inverse function would be (y, x).
That is to say, when we reflect a point (x, y) across the line y = x we get the point (y, x).
Note that since, this function is invertible, it is both 'one - one' and 'onto'.
