The sign for a new restaurant will be a triangle with a base of 8 feet and a height of 3 feet. The painter needs to know if he h
1 answer:
Answer:
The correct answer is 12 square feet.
Step-by-step explanation:
The sign of a restaurant is in the shape of a triangle.
Dimension of the sign is 8 feet in base and 3 feet in height.
A painter needs to color the sign board.
He needs to find the area of the sign.
Area of the sign is given by × base × height =
× 8 × 3 = 12 square feet.
Thus the painter has to paint an area of 12 square feet in order to paint the whole sign board of the restaurant.
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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