I believe B . Because it seems equivalent
Answer:
(a) The slope of f(x) is greater than the slope of g(x)
(b) f(x) has a greater y intercept
Step-by-step explanation:
Given
![\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7Dx%20%26%20%7Bf%28x%29%7D%20%26%20-1%26-9%260%26-1%261%267%20%5C%20%5Cend%7Barray%7D)
![g(x) = 3x - 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%203x%20-%202)
Solving (a): Compare the slopes
The slope (m) of f(x) is calculated as;
![m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bf%28x_2%29%20-%20f%28x_1%29%7D%7Bx_2%20-%20x_1%7D)
This gives:
![m = \frac{f(0) - f(1)}{0 - 1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bf%280%29%20-%20f%281%29%7D%7B0%20-%201%7D)
![m = \frac{f(0) - f(1)}{- 1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bf%280%29%20-%20f%281%29%7D%7B-%201%7D)
Substitute values for f(0) and f(1)
![m = \frac{-1 - 7}{- 1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-1%20-%207%7D%7B-%201%7D)
![m = \frac{-8}{- 1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-8%7D%7B-%201%7D)
![m = 8](https://tex.z-dn.net/?f=m%20%3D%208)
The slope of g(x) can be gotten using the following comparison
![g(x) = mx + b](https://tex.z-dn.net/?f=g%28x%29%20%3D%20mx%20%2B%20b)
![m \to slope](https://tex.z-dn.net/?f=m%20%5Cto%20slope)
So:
![g(x) = 3x -2](https://tex.z-dn.net/?f=g%28x%29%20%3D%203x%20-2)
![m = 3](https://tex.z-dn.net/?f=m%20%3D%203)
![m_{f(x)} > m_{g(x)}](https://tex.z-dn.net/?f=m_%7Bf%28x%29%7D%20%3E%20m_%7Bg%28x%29%7D)
Solving (b): Compare the y intercept
y intercept is when ![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
From the table of f(x)
![f(0) = -1](https://tex.z-dn.net/?f=f%280%29%20%3D%20-1)
From the equation of g(x)
![g(x) = 3x -2](https://tex.z-dn.net/?f=g%28x%29%20%3D%203x%20-2)
![g(0) = 3*0-2](https://tex.z-dn.net/?f=g%280%29%20%3D%203%2A0-2)
![g(0) =-2](https://tex.z-dn.net/?f=g%280%29%20%3D-2)
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![2 \pi r = circumference](https://tex.z-dn.net/?f=2%20%5Cpi%20r%20%3D%20circumference)
so,
![\frac{circumference}{2 \pi } = radius](https://tex.z-dn.net/?f=%20%5Cfrac%7Bcircumference%7D%7B2%20%5Cpi%20%7D%20%3D%20radius)
it equals 12.49 or 12.5 depending on rounding
I hope this helps!
Put the numbers in the given equation and solve for k.
... $11 = k·(8 €)
Divide by the coefficient of k:
... k = $11/(8 €) = 1.375 $/€
Then your equation is ...
... y = (1.375 $/€)x
_____
It is fairly common to leave the units out of such equations, assuming that everyone understands that x is in euros and y is in dollars and the conversion factor includes a unit change from euros to dollars. Thus, you might expect to see ...
... y = 1.375·x
-2^3+(3-5*(1-3))
-2^3+(3-5*(-2))
-2^3+(3-(-10))
-2^3+(3+10)
-2^3+(13)
-8+13
5
Final answer: 5
Remember to follow the order of operations: simplify everything in parentheses as much as possible first, then exponents, multiplication and division, followed by addition and subtraction