Mrs. Wilbur can grade a set of 32 tests in 1 hour. How many tests can she grade in 45 minutes?
1 answer:
You might be interested in
As for the domain, the only restriction comes from the logarithm. The argument of a logarith must be strictly positive, so we have
As for the range, we have:
- The range of
are all real numbers
- If we change to
we're translating the function horizontally, so the range remains the same
- If we change to
we're stretching the function horizontally, so the range doesn't change
- If we change to
we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.
Convert all fractions to have the same denominator.
To convert, we must find the least common multiple of the two denominators of the fractions:
Multiples of 4: {4,8,12,16,20}
Multiples of 5: {5,10,15,20}
The least common multiple of 4 and 5 is 20.
Multiply the fractions by a number that will result in the denominator being 20:
The equation should now look like this:
Subtract both sides by 8/20 to get w by itself:
The value of w is 7/20.
To convert, we must find the least common multiple of the two denominators of the fractions:
Multiples of 4: {4,8,12,16,20}
Multiples of 5: {5,10,15,20}
The least common multiple of 4 and 5 is 20.
Multiply the fractions by a number that will result in the denominator being 20:
The equation should now look like this:
Subtract both sides by 8/20 to get w by itself:
The value of w is 7/20.