No links I can write equations to model real-world problems.
2 answers:
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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:
Area of the counter top is .
Step-by-step explanation:
Given:
Length of the Counter top = 18 feet
Width of the counter top = 3 feet
We need to find the area of the counter top is square meter;
Solution:
Now we need to find the area of the counter top is square meter.
But given data is in feet so we will first convert feet into meters.
1 foot = 0.305 meter.
So 18 feet = Number of meters in 18 feet.
By Using Unitary method we get;
Number of meters in 18 feet =
Length of the Counter top = 5.49 m
Also 3 feet = Number of meters in 3 feet.
Again Using Unitary method we get;
Number of meters in 3 feet =
Width of the counter top = 0.915 m
Now we know that;
Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.
framing in equation form we get;
Area of the counter top =
Rounding up to 2 decimals we get;
Area of the counter top =
Hence Area of the counter top is .