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3 years ago

What is the oblique asymptote of gx) = x2-3x-5?

Mathematics

1 answer:

oee [108]3 years ago

3 0

Answer:

B) $y=x-5$

Step-by-step explanation:

Because $g(x)=\frac{x^2-3x-5}{x+2}$ simplifies to $x-5+\frac{5}{x+2}$ , we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be $y=x-5$ . See the attached graph for a visual.

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Jason's football team lost 6 yards from their starting position and then lost another 5 yards. What number represents a loss of

aivan3 [116]

A loss of 6 yds = - 6
a loss of 5 yds = - 5

7 0

3 years ago

which of the following best describe the blue line in the image below A. The line constructed through point P that is parallel t

lesya692 [45]

Answer:

Option B.

Step-by-step explanation:

Option A. "The line constructed through point P that is parallel to line B."

Since parallel lines never intersect each other, a line intersecting line AB at point P will not be parallel.

Therefore, Option (A) is incorrect.

Option (B). "The line constructed through point P that is perpendicular to line AB."

Since the angle between line AB and a line constructed through point P has been given as 90°, line through point P will be perpendicular to AB.

Therefore, Option (B) is the answer.

Option C. "The line constructed through point P that intersects line AB at two different points."

Since, two perpendicular lines intersect each other at only one point, the line constructed from point P will not intersect line AB at two different points.

Therefore, Option C is not correct.

8 0

3 years ago

In direct variation, the variables change by a constant _______________.

jolli1 [7]

Direct variation is of the form y=kx (inverse variation is of the form y=k/x)

5 0

3 years ago

Someone please help me on this.

Naddik [55]

Answer:

$36n^2+12n+1$

Step-by-step explanation:

Foil the equation!

1. You see that is to the second power so it means this $(6n+1)*(6n+1)$

2. Then you use the Foil method. First, Outside, Inside, and Last.

3. Combined like terms

4. Answer!

A tip you can use to avoid Foil is this mental math trick: (Keep in mind this only works if the polynomial is being squared.)

1. Multiply the first number by itself = $6n *6n = 36n^2$

2. Add the first number by itself = $6n+6n = 12n$

3. Multiply the last number by itself = $1*1 =1$

4. Combined to form your answer = $36n^2+12n+1$

NOTE: This is the same thing as a foil but it uses mental math so it takes less time!

8 0

2 years ago

Prove that if a and b are nonzero integers, a divides b, and a b is odd, then a is odd.

hammer [34]

It is proved that the if a and b are nonzero integers, a divides b, and a b is odd, then a is odd.

According to the statement

we have to prove that the if a and b are nonzero integers, a divides b, and a b is odd, then a is odd.

And for this proof we use the contradiction

So,

Proof by contradiction is a common proof technique that is based on a very simple principle: something that leads to a contradiction can not be true, and if so, the opposite must be true.

So for this purpose,

Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.

Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.

So, It is proved that the if a and b are nonzero integers, a divides b, and a b is odd, then a is odd.

Learn more about integers here

brainly.com/question/17695139

#SPJ4

7 0

2 years ago