Dividing a whole number and an improper fraction seems tricky, but it just has one or two more steps than the normal process. First, convert the whole number "9" into a fraction by giving it a denominator of "1". It should look like 9/1. Now that both numbers are converted into like formats (improper fractions), you should have 9/1 divided by 5/3.
Second, flip 5/3 over into 3/5 - this is the "reciprocal". Now you have 9/1 divided by 3/5. It's just a matter of multiplying across the math sentence. Multiply the numerators (9x3) and the denominators (1 x 5). Your new fraction should be 27/5. This is your answer in the improper fraction format.
You can create other formats depending on the expected answer. For a mixed number, "divide your fraction UP" (27 divided by 5) which gives you 5 and 2/5. This can be further converted into 5.4 if you need your answer in decimal form.
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Answer:
F' corresponds to point F
Step-by-step explanation:
When a point is the result of some transformation, we often designate that result using the base name of the original, with a prime (') added. In this case, we expect that F' is the transformation of point F.
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<em>Comment on point naming</em>
Of course, points can be given any name you like. These conventions are adopted to aid in communication about transformations and correspondence between points. It would be unusual--even confusing, but not unreasonable, for point F' to correspond to point D, for example. In the case of certain transformations, point F' may actually <em>be</em> point D.
Answer:
{2, 8}
Step-by-step explanation:
We want to find x for ...
15 = 4|x -5| +3
12 = 4|x -5| . . . . subtract 3
3 = |x -5| . . . . . . divide by 4
±3 = x -5 . . . . . . show the meaning of absolute value
5 ±3 = x = {2, 8} . . . . . add 5
The values of x for which f(x) = 15 are 2 and 8.
