Answer:
b = 40
Step-by-step explanation:
This is because Jim starts with $40 and then makes $20/lawn. The equation can be represented by y = 20x + 40
Hoped this helped! :)
Answer:
a) n<1 and n>5
b) 0 < n < -4
c) n > 2 and n < -2
Step-by-step explanation:
The signal is given by x[n] = 0 for n < -1 and n > 3
The problem asks us to determine the values of n for which it's guaranteed to be zero.
a) x[n-2]
We know that n -2 must be less than -1 or greater than 3.
Therefore we're going to write down our inequalities and solve for n

Therefore for n<1 and n>5 x [n-2] will be zero
b) x [n+ 3]
Similarly, n + 3 must be less than -1 or greater than 3

Therefore for n< -4 and n>0, in other words, for 0 < n < -4 x[n-2] will be zero
c)x [-n + 1]
Similarly, -n+1 must be less than -1 or greater than 3

Therefore, for n > 2 and n < -2 x[-n+1] will be zero
the first quadrant only has positive numbers therefore everything is positive
Answer:
x - 8 = 0
Step-by-step explanation:
Since, the cube root of a number is 2.
Let the number be x.
Therefore,
![\sqrt[3]{x} = 2 \\ cubing \: both \: sides \\ {( \sqrt[3]{x})}^{3} = {(2)}^{3} \\ x = 8 \\ x - 8 = 0](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%7D%20%20%3D%202%20%5C%5C%20%20cubing%20%5C%3A%20both%20%5C%3A%20sides%20%5C%5C%20%20%7B%28%20%5Csqrt%5B3%5D%7Bx%7D%29%7D%5E%7B3%7D%20%20%3D%20%20%7B%282%29%7D%5E%7B3%7D%20%20%5C%5C%20%20%20x%20%3D%208%20%5C%5C%20%20x%20-%208%20%3D%200)