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2 years ago

Given f(x)=log4(x+3) and g(x)=3 find the x value such that f(x)=g(x)

1 answer:

3 0

To find the value of x when f(x) = g(x), we equate the two terms. log4(x+3) is equivalent to log(x+3)/log 4. We equate this to 3, which gives us log(X+3)/log4=3. This gives us the value of x which is 61.

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1 year ago

find the dimensions of the sports field at the right if the width is at least 60 yards AREA = 240 - 400X SQUARE YARDS

charle [14.2K]

Answer:

The dimensions of the sports field are 80 yards and 3 - 5x yards

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Width of the sports field = At least 60 yards

Area of the sports field = 240 - 400x square yards

We can conclude the shape of the sports field is rectangular.

2. Find the dimensions of the sports field.

A. We need to find the Greatest Common factor between 240 and 400, this way:

The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 .

The factors of 400 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400 .

Then the greatest common factor is 80.

This GCF is also higher than 60, therefore it's one of the dimensions of the sports field.

Now, we calculate the other side of the sports, this way:

Second dimension of the sports field = (240 - 400x)/80

Second dimension of the sports field = 3 -5x

The dimensions of the sports field are 80 yards and 3 - 5x yards

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3 years ago