Let y = 0, since the x-intercept occurs at y = 0.
We know this because the tangential graph is period every pi radians. The sinusoidal and co-sinusoidal graph are periodic every 2pi radians.
Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in
2 answers:
Answer:
Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.
So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.
Step-by-step explanation:
So he wants to keep his consumption of carbs between the inequalities:
So, let's solve both inequalities.
1)
Subtract 10 from both sides:
Divide both sides by 2:
2)
Subtract 10 from both sides:
Divide both sides by 2:
So, our inequality is now:
Since we solved the equations:
Written as a compound inequality, this is:
In other words, Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.
So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.
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Let y = 0, since the x-intercept occurs at y = 0.
We know this because the tangential graph is period every pi radians. The sinusoidal and co-sinusoidal graph are periodic every 2pi radians.
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. If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k.
. Solve for k by multiplying 5 and 80 to get that k = 400. Now let's find a new time t when r is a rate of 70. We will use that k value to do this: 
and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph. Makes sense that it takes longer to drive a fixed distance when you are going slower.
Answer:
Step-by-step explanation:We can show this proof by representing the given information in a diagram
