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:
200 students either bike or walk to school
Step-by-step explanation:
0.4 = 40%
500 * 0.4 = 200
40% is 200 students
200 students either bike or walk to school
Answer:
Option C is correct
76 feet
Step-by-step explanation:
Area of square(A) is given by:
where, s is the side of the square.
As per the statement:
A square ceiling has an area of 360 square feet.
⇒A = 360 square feet.
then;
⇒
Perimeter(P) of square is given by:
then;
Therefore, 76 feet molding does he need.
Answer:
Step-by-step explanation:
Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...
5(s+4) = (s+32)+4
5s +20 = s +36 . . . . . eliminate parentheses
4s = 16 . . . . . . . . . . . . subtract s+20
s = 4
The son is now 4 years old; the father, 36.
_____
<em>Alternate solution</em>
In 4 years, the ratio of ages is ...
father : son = 5 : 1
The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...
father : son = 40 : 8
So, now (4 years earlier), the ages must be ...
father: 36; son: 4.
Answer:
x < 
Step-by-step explanation:
Given
- ax + 4b > 9 ( isolate the term in x by subtracting 4b from both sides )
- ax > 9 - 4b ( divide both sides by - a )
Remembering to reverse the inequality symbol when dividing by a negative quantity, thus
x <
