Answer:
![R = \{ \forall x \in \mathbf{R}|-\infty < x < \infty\}](https://tex.z-dn.net/?f=R%20%3D%20%5C%7B%20%5Cforall%20x%20%5Cin%20%5Cmathbf%7BR%7D%7C-%5Cinfty%20%3C%20%20x%20%3C%20%5Cinfty%5C%7D)
Step-by-step explanation:
The definition of derivative states that:
![g'(t) = \lim_{h \to 0} \frac{g(t+h)-g(t)}{h}](https://tex.z-dn.net/?f=g%27%28t%29%20%3D%20%20%5Clim_%7Bh%20%5Cto%200%7D%20%5Cfrac%7Bg%28t%2Bh%29-g%28t%29%7D%7Bh%7D)
Then:
![g'(t) = \lim_{n \to \infty} \frac{7\cdot (t+h)-7\cdot t}{h}](https://tex.z-dn.net/?f=g%27%28t%29%20%3D%20%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B7%5Ccdot%20%28t%2Bh%29-7%5Ccdot%20t%7D%7Bh%7D)
![g'(t) = \lim_{h \to 0} 7](https://tex.z-dn.net/?f=g%27%28t%29%20%3D%20%20%5Clim_%7Bh%20%5Cto%200%7D%207)
![g'(t) = 7](https://tex.z-dn.net/?f=g%27%28t%29%20%3D%207)
A constant function is a zero-order polynomial. The domain of any real polynomial is
. Then, the domain of the function is:
![R = \{ \forall x \in \mathbf{R}|-\infty < x < \infty\}](https://tex.z-dn.net/?f=R%20%3D%20%5C%7B%20%5Cforall%20x%20%5Cin%20%5Cmathbf%7BR%7D%7C-%5Cinfty%20%3C%20%20x%20%3C%20%5Cinfty%5C%7D)
The set that is closed under subtraction is rational numbers
Answer:
546 nuts
Step-by-step explanation:
727272 / 666 = 1092 nuts in each location
crow stole half nuts in 1 location
1092 / 2 = 546 nuts stolen
Answer: x = 2
y = 2
Step-by-step explanation:
The given system of equations is expressed as
y = x²- 3x + 4- - - - - - - - - - - - -1
x + y = 4- - - - - - - - - - - -2
We would the method of substitution by substituting equation 1 into equation 2. It becomes
x + x²- 3x + 4 = 4- - - - - - - - - - -3
x² + x - 3x + 4 = 4
x² - 2x + 4 = 4
Subtracting 4 from the left hand side and the right hand side of the equation, it becomes
x² - 2x + 4 - 4 = 4 - 4
x² - 2x = 0
Adding 2x to the left hand side and the right hand side of the equation, it becomes
x² - 2x + 2x = 0 + 2x
x² = 2x
Dividing the left hand side and the right hand side of the equation by x, it becomes
x²/x = 2x/x
x = 2
Substituting x = 2 into equation 1, it becomes
y = 2²- 3 × 2 + 4
y = 4 - 6 + 4
y = 2
Answer:
Step-by-step explanation:
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