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
First, you need to isolate the x in the first equation.
-x + 5y = 1
Subtract 5y from both sides, leaving you with the following equation:
-x = 1-5y
Because you are trying to solve for positive x and not negative x, you need to make x positive. Therefore you divide both sides by -1. In Algebra, when 1 is the coefficient of the variable, it is not shown, but it is still there. The new equation will be the following: x = 5y-1
Now you just need to substitute the x within the second equation for the x equation we just solved for.
Therefore, the right answer will be 2(5y-1)+4y= -4. Now, all you have to do is choose the answer that states exactly that, which is the first choice.
Answer:5p^3-2p^2-7p+1
Step-by-step explanation:
-3p^3+5p+(-2p^2)+(-4)-12p+5-(-8p^3)
open brackets
-3p^3+5p-2p^2-4-12p+5+8p^3
Collect like terms
-3p^3+8p^3-2p^2+5p-12p-4+5
5p^3-2p^2-7p+1
Answer: 0.7893g//mL
If 20 mL of ethanol (density =0.7893g//mL) is mixed with 40mL water (density = 0.9971g//mL)
Step-by-step explanation:
Formula for volume of sphere V = 4/3 (Pi) r^3, where Pi ~ 3.14 and r is the radius = 7.
Therefore V = 4/3 * 3.14 * 7^3
= 4/3 * 3.14 * 343
= 4/3 * 1077.02
= 1,436.02667 cubic units
