Find an equation of the tangent line to the curve at the given point. y = 3x3 â x2 + 3, (2, 23)
1 answer:
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Set up the equation as follows:
150x represents the dog's speed, 100x represents the squirrel's speed, and 200 represents the distance the squirrel has on the dog. x is the amount of minutes that elapse.
Subtract 100x from both sides.
Divide both sides by 50.
It will take the dog 4 minutes to catch up with the squirrel.
150x represents the dog's speed, 100x represents the squirrel's speed, and 200 represents the distance the squirrel has on the dog. x is the amount of minutes that elapse.
Subtract 100x from both sides.
Divide both sides by 50.
It will take the dog 4 minutes to catch up with the squirrel.
Answer:
Step-by-step explanation:
Your original number to convert is 0.333333. Let's slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 3).
If we do this, we'll get a 3.333333 (slide the decimal in the 0.333333 right 1 places, you'll get 3.333333).
So what? Well now, we have two numbers with the same repeating decimal parts, 3.333333 and 0.333333.
Now let's just work a little algebra into all of this. Let's call your original number x. And in this case, x = 0.333333. The number with the decimal point slid over can be called 10x, because 10x = 3.333333
10x = 3.33333
-x = 0.333333
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Now, solving 9x=3 for x by dividing both sides of it by 9, we'll get that x=3/9. And this is your answer.
How is this your answer? Well remember that above, x was originally set equal to 0.333333 via x = 0.333333, and now we have that x is also equal to 3/9, so that means 0.333333 = 3/9..and there's 0.333333 written as a fraction.
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<u>Simplify 3/9 into the lowest terms:</u>