Answer:
You can visualize this easily.
y=f(x+h)
Now if the argument of the function is taken as (x−h) the value of y will be f((x−h)+h)=f(x)
The function y acquires the value of f(x) at (x−h) amounting to a left shift.
Hope this makes things clear.
Step-by-step explanation:
Answer:
3.50 x+18.00 ≤ 40.00
Step-by-step explanation:
She pays 18 dollars each moth, therefore that quantity won't change, so you will have to add. Each movie that she watches is an additional 3.50, then we have 3.50 x, x being the quantity of movies that she watches. She can only afford up to 40 dollars, then everything that she spends has to be less or equal to 40.
Answer:
A Exactly 1 solution
Step-by-step explanation:
if we express both equations as y = mx+b
we will see that both equations have different slopes (i.e "m" values are different).
By definition, 2 straight lines of different slopes will intersect at only one location (i.e there is only one solution)
Answer:
45 does not go into 285 evenly
The quotient contains a repeating decimal
The quotient is 6.3
Step-by-step explanation:
285/45 = 6.33333333
6.33333333 = 6.3
Answer:
<em>f(x) = x² (2+i)x-15-3i</em>
Step-by-step explanation:
Since the zeros of the equation are -3 and 5+i, hence the factors of the polynomial in x is (x+3) and (x-(5+i))
Multiplying both factors
f(x) = (x+3)(x-(5+i))
f(x) = (x²-(5+i)x+3x -3(5+i))
f(x) = x² - (5+i- 3)x -15-3i
f(x) = x² (2+i)x-15-3i
<em>hence the required polynomial function in x is f(x) = x² (2+i)x-15-3i</em>