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kupik [55]
3 years ago
15

The graph of f(x) = 24x^2 + 63x +34/ 4x + 3 has an oblique asymptote at y =

Mathematics
2 answers:
g100num [7]3 years ago
8 0

<em>Correct answer is C). 6X+11</em>

Step-by-step explanation:

The given function f(x)= \frac{24x^{2} +63x + 34 }{4x+3}

On simplying the function f(x),

f(x)= \frac{6x(4x+3) -18x +63x + 34 }{4x+3}

f(x)= \frac{6x(4x+3) +45x + 34}{4x+3}

f(x)= \frac{6x(4x+3) +11(4x+3)+x-33 + 34 }{4x+3}

f(x)= \frac{6x(4x+3) +11(4x+3)+x+1}{4x+3}

f(x)=(6x+11)+\frac{(x+1)}{4x+3}

From above equation

"(6x+11)" is Oblique asymptote and \frac{(x+1)}{4x+3} is vertical asymptote

Therefore, Correct answer is C). 6X+11

Maslowich3 years ago
8 0

Answer:C

Step-by-step explanation:

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Daily twos:
max2010maxim [7]

Answer:

  9 3/4

Step-by-step explanation:

Strategy: first cancel the fraction part of the mixed number, then subtract the remaining fraction from the integer obtained.

10 1/2 - 3/4 = 10 1/2 - 1/2 - 1/4

= 10 -1/4

= 9 3/4

__

Strategy: turn the subtracted fraction into a whole number by adding 1/4 to both parts of the problem, then subtract the whole number.

10 1/2 - 3/4 = (10 1/2 +1/4) -(3/4 +1/4)

= 10 3/4 -1

= 9 3/4

_____

We assume that you know that 1/2 + 1/4 = 3/4, or 3/4 -1/2 = 1/4. If you need to, you can get there by using the equivalent: 1/2 = 2/4.

8 0
3 years ago
Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
Which three lengths CANNOT be the lengths of the sides of a triangle
kogti [31]

Answer:

I believe 21 cm

Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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3 years ago
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1 43/53 is the answer in a mixed fraction. 
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