Mathematics, 16.07.2019 05:00 justiceharris8

Find the horizontal or oblique asymptote of f(x) = -3x^2+7x+1/x-2

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Because the degree in the numerator is 1 higher than that of the denominator, we have an oblique asymptote that is found by dividing the polynomials using long division. It's also possible and easier to use synthetic division. Put your 2 from x - 2 = 0 outside the "box" and the coefficients from the quadratic inside: 2 (-3 7 1). Bring down that -3 and multiply by the 2 to get -6. Put that -6 up under the 7 and add to get a 1. Multiply that 1 by the 2 to get 2. Put that 2 up under the 1 and add to get 3. That's your remainder...3. The -3 and the 1 are now the coefficients for the new polynomial that is one degree less than the degree of the polynomial we started with, called the depressed polynomial. It is -3x + 1. That's the equation of your oblique asymptote, then.

Answer from: Quest

You can find it by multiplying the areas it show u
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Answer from: Quest

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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Find the horizontal or oblique asymptote of f(x) = -3x^2+7x+1/x-2...