Write an equation in point-slope form, slope intercept form, and standard form for a line that passes through (-2,8) with slope
1 answer:
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Compound inequality combines multiple single inequalities.
The solution and interpretation of the inequality is:
<em /><em> and </em>
<em>. Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates.</em>
<em />
We have:
and
Solve for x in both inequalities
Divide both sides by 2
Rewrite as:
Also, we have:
Divide by 2
So, the solutions to the inequalities are:
and
This means that Ryan needs to consume more than 50 but less than 150 grams of carbohydrates.
Hence, (a) is correct
Read more about compound inequalities at:
Considering the given function and the asymptote concept, we have that:
- The vertical asymptote is of x = 25.
- The horizontal asymptote is of y = 5.
- The end behavior is that as
.
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. Hence it also gives the end behavior of the function.
In this problem, the function is:
.
The vertical asymptote is found as follows:
x - 25 = 0 -> x = 25.
The horizontal asymptote is found as follows:
.
Hence the end behavior is that as .
More can be learned about asymptotes at brainly.com/question/16948935
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