9514 1404 393
Answer:
C. 2x^2 -8x +3 +1/(x +4)
Step-by-step explanation:
Synthetic division is useful for finding the quotient. Or, you can use polynomial long division. The result is the same, but synthetic division requires less writing.
Ans(a):
Given function is
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(e):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
4x-3x=-1-16
x=-17
Hence final answer is x=-17
Answer:
24
Step-by-step explanation:
1 / 4 x + 18 = x
x / 4 + 18 = x
x = x / 4 + 18
x - x / 4 = 18
( 4x / 4 ) - ( x/4 ) = 18
( 4x - x ) / 4 = 18
3x / 4 = 18
3x = 18 * 4
x = ( 18 * 4 ) / 3
= 6 * 4
x = 24
Answer:
The barge can carry up to 94 railroad cars.
Step-by-step explanation:
Create an inequality to represent the weight of the barge to the max weight.
24 + 4r ≤ 400
Solve for r:
4r ≤ 400 - 24
4r ≤ 376
4r ≤ 376/4
r ≤ 94
The equation can be rewritten as x = -2/3 y, so x/y = -2/3
However, for y=0, the ratio is undefined as you would be dividing by 0??