Which of the following describes the function −x4 + 1?
2 answers:
<h3><u>Answer:</u></h3>
The correct option is:
<em>The degree of the function is even, so the ends of the graph continue in the same direction. Because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward. </em>
<h3><u>Step-by-step explanation:</u></h3>We are given a degree four function in variable 'x' as:
Now, the ends of the graph will be in the same direction since the leading coefficient is negative and the function is even
( since:
f(-x)=f(x) )
so the end behavior could be checked as:
when x→ -∞ then f(x)→ -∞
and when x → ∞ then f(x) → -∞
Also we could see by the graph of the unction.
The correct option is:
The degree of the function is even, so the ends of the graph continue in the same direction. Because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward.
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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.
A binomial squared is written like
So, we have
So, we want to complete the square
We can add and subtract 9 to write