Answer:
Step-by-step explanation:
90-39=51
First, some general rules to remember:
Rational expressions (fractions) can only be added or subtracted if they have a common denominator.
The numerator and denominator of a fraction may be multiplied by the same quantity. This will result in a fraction that is equivalent to the original fraction.
For a fractional answer to be in final form, the fraction must be reduced to lowest terms.
Adding or subtracting rational expressions is a four-step process:
Write all fractions as equivalent fractions with a common denominator.
Combine the fractions as a single fraction that has the common denominator.
Simplify the expression in the top of the fraction.
Reduce the fraction to lowest terms.
To see this process, we'll look at some examples.
Example 1
Step 1: To find a common denominator, start by factoring the denominators of both fractions.
The least common denominator of these two fractions is 2(x+6)(x-6).
Looking at the first fraction, we can see that the factor missing from its denominator is (x-6). In the next step, we'll multiply the top and bottom of the first fraction by (x-6).
Looking at the second fraction, we can see that the factor missing from its denominator is 2. In the next step, we'll multiply the top and bottom of the second fraction by 2.
Step 2: Now that the fractions have the same denominators, we'll create one combined fraction by adding the two fractions together:
Step 3: We'll simplify the top of the fraction. Notice that we are only simplifying the top of the fraction; the bottom of the fraction remains unchanged.
Step 4: Now we'll reduce the fraction to lowest terms
Example 2
Step 1: To find a common denominator, start by factoring the denominators of both fractions.
The least common denominator of these two fractions is (x+4)(x+1)(x+3).
Looking at the first fraction, we can see that the factor missing from its denominator is (x+3). In the next step, we'll multiply the top and bottom of the first fraction by (x+3).
Looking at the first fraction, we can see that the factor missing from its denominator is (x+4). In the next step, we'll multiply the top and bottom of the first fraction by (x+4).
Step 2: Now that the fractions have the same denominators, we'll create one combined fraction by adding the two fractions together:
Step 3: We'll simplify the top of the fraction. Notice that we are only simplifying the top of the fraction; the bottom of the fraction remains unchanged.
Step 4: Now we'll reduce the fraction to lowest terms
Answer:
Step-by-step explanation:
See attachment for complete question.
From the attachment:
Dilation:
Required
Determine R'
First, subtract the coordinates of P from R. This means that R is measured from P.
Next, apply dilation factor 0.5
Lastly, measure R' from the origin by adding the coordinates of P to R'
6 kilograms is 6000g (I think haha) so that divided by 4 would be 1500g.
Answer:
Step-by-step explanation:
The initial population of bacteria is 800 and we know that this number is quadrupling every hour.
<u>We're going to find a function in terms of t (time) that gives us the population of bacteria at that time.</u>
Since the population is quadrupling every hour the function in terms of t (where t is expressed in hours) is:
Now we need to find the time when there will be 5,120,000 bacterias. This means the time t when f(t) = 5,120,000
So we have 5,120,000 = 
Therefore, the time when there will be 5,120,000 bacterias will be:
