Can someone help me with this problem involving factoring a trinomial and filling in a table? Steps 1, 2, and 3 please. Thank yo
u!
1 answer:
Step 1 involves you listing out all the ways to multiply to 56, and then adding up those factors. For instance, the first row has 1 and 56 which add to 57 in the third column. The second row has -1 + (-56) = -57. The third row has 2+28 = 30. And so on. The idea is to fill out the table completely with the other ways to have factors of 56 added up. The table is shown in the attached image below.
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Step 2 then uses the table to figure out which pair of factors (of 56) add to -15. This would be -7 and -8. In other words,
-7 plus -8 = -15
-7 times -8 = 56
We have found the right pair of numbers. In the table I have provided, this is shown as the highlighted yellow row.
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Step 3 is then using those pair of numbers found in step 2 to set up the factorization. We would say that x^2-15x+56 factors to (x-7)(x-8). This is the same as (x-8)(x-7) as we can multiply two numbers in any order we want.
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Answer:
1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.
Step-by-step explanation:
The total milligrams of levonorgestrel is:
In which and
are the number of miligrams of levonorgestrel taken in each phase.
The total milligrams of ethinyl estradiol is:
In which and
are the number of miligrams of ethinyl estradiol taken in each phase.
We can solve this by phase.
Phase 1: 6 tablets, each containing 0.050 mg of levonorgestrel and 0.030 mg ethinyl estradiol
In this phase,
of levonorgestrel and
of ethinyl estradiol are taken.
So and
Phase 2: 5 tablets, each containing 0.075 mg of levonorgestrel and 0.040 mg ethinyl estradiol
In this phase,
of levonorgestrel and
of ethinyl estradiol are taken.
So and
Phase 3: 10 tablets, each containing 0.125 mg of levonorgestrel and 0.030 mg ethinyl estradiol
In this phase,
of levonorgestrel and
of ethinyl estradiol are taken.
So and
The total milligrams of levonorgestrel is:
The total milligrams of ethinyl estradiol is:
1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.