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luda_lava [24]
3 years ago
6

Identify the oblique asymptote of f(x)=x+4/3x^2+5x-2

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

No oblique asymptote

Step-by-step explanation:

To find the oblique asymptote of f(x)

f(x) = \frac{x+4}{3x^2+5x-2}

Here numerator has degree 1 and denomintor degree 2

Degree of numerator < Degree of denominator

Hence there is no oblique asymptote

When the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,  giving us a horizontal asymptote of the x-axis. Or we can write

f(x) = a polynomial of x + a proper fraction.

In this case only we have oblique asymptotes but not when numerator has less degree.

You might be interested in
Solve 2 ÷ x =5
Volgvan
So to help with the first one
2 / x = 5
multiply the x on both sides
2 = 5x
divide by 5 to isolate the x
2/5 = x

For the second one
We will use the diamond to help us find the common factor 
  \   1  /
   \    / 
    \  / 
 2 /  \   4
   / 3 \
  /      \

1) the product
2) and 4) the two numbers
and 3) is sum

10 is the product and -7 is the sum
so what two numbers (factors of 10)
will equal -7 when added

so we have these numbers that will equal the product of +10 and we will need to find the ones that will equal -7 as the sum
10*1, 2*5, -1*-10, -2*-5
if we add the two numbers we will find respectively
11, 7, -11, -7
As you can see that -2 + -5 = +10 and -2+-5= +10
So we have found the two numbers
now before we factor the expression looks like 
( x + a) (x + b)
and when factored looks like
x^2 + (a+b)x + (a*b)
Now we can plug in the numbers and solve to see if -2 and -5 are right
(x + -2) (x + -5)
we will factor it
x^2 +-5x + -2x + 10
x^2 + -7x + 10
so a = -2 and b = -5

Hope this helps :)
5 0
3 years ago
Whoever answers right first gets brainliest. :)
PolarNik [594]

Hi there! There are no numbers listed, therefore I'm unable to do answer your question. Are there numbers included in the problem?

5 0
3 years ago
6. In the figure below, measure of angle 1 = 3x + 5, measure of angle 2 = 5x - 18, and measure of angle 3 = 7x-2
Lesechka [4]
See photo for solution and mark me as brainliest if i helped :)

A: although it seems like they are forming a 90º angle, they actually add up to a 89 º angle and therefore are not complementary

B: see photo

4 0
3 years ago
Zachary invested $5,300 in an account paying an interest rate of 9 % compounded
son4ous [18]

Answer:625

625 in delta math

Step-by-step explanation:

3 0
3 years ago
I WILL GIVE BRAINLIEST!
Illusion [34]

Answer:

24 ft cubed

Step-by-step explanation:

The volume of a rectangular prism is denoted by the formula: V=lwh , where l is the length, w is the width, and h is the height.

Looking at the diagram, we can see that the length is 2 ft (so l = 2), the width is 4 ft (so w = 4), and the height is 3 ft (so h = 3). Now, we can just plug in these values to find V, the volume:

V=lwh

V=2*4*3=24

Thus, the answer is 24 ft cubed.

Hope this helps!

7 0
4 years ago
Read 2 more answers
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