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2 years ago

Checkkk my work?(:

2 answers:

6 0

x + 4
f(x) = _______
3x^2 + 5x - 2

since the degree of the numerator is less than the degree of the denominator, it has no oblique asymptote.

Alina [70]2 years ago

6 0

Answer:

There is no oblique asymptote

Step-by-step explanation:

Oblique asymptote case arises when degree of numerator is greater than denominator

Here, we have given the expression $\frac{x+4}{3x^2+5x-2}$

Here, degree of numerator is less than denominator

Hence, no oblique asymptote.

The expression should be $\frac{3x^2+5x-2}{x+4}$ to get the oblique asymptote.

You might be interested in

What set of transformations is performed on triangle RST to form triangle R’S’T’?

ra1l [238]

Answer:

D. A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin

Step-by-step explanation:

The given triangle has vertices at R(3,4), S(1,1), and T(5,1)

Translating the the vertices down by 2 units, we apply the rule;

$(x,y)\to (x,y-2)$

$\implies (3,4)\to (3,2)$

$\implies (1,1)\to (1,-1)$

$\implies (5,1)\to (5,-1)$

Rotating the resulting vertices through an angle 270 degrees counterclockwise, we apply the rule:

$(x,y)\to (x,-y)$

$\implies (3,2)\to R'(2,-3)$

$\implies (1,-1)\to S'(-1,-1)$

$\implies (5,-1)\to T'(-1,-5)$

Therefore the correct choice is D.

4 0

2 years ago

Marvin has a standard deck of cards, what is the probability of 5?

Nonamiya [84]

Answer: 4/52

Step-by-step explanation:

Because thwre are 4, fives in a normal deck so the probability would be 4/52 not simplifyed

5 0

2 years ago

Read 2 more answers

What is the coordinate?

faltersainse [42]

Remember that the equation of a circle is:
$(x - h)^{2} + (y - k)^{2} = r^{2}$
Where (h, k) is the center and r is the radius.
We need to get the equation into that form, and find k.

$x^{2} - 6x + y^{2} - 10y = 56$

Complete the square. We must do this for x² - 6x and y² - 10y separately.

x² - 6x
Divide -6 by 2 to get -3.
Square -3 to get 9. Add 9,
x² - 6x + 9

Because we've added 9 on one side of the equation, we have to remember to do the same on the other side.

$x^{2} - 6x + 9 + y^{2} - 10y = 65$

Now factor x² - 6x + 9 to get (x - 3)² and do the same thing with y² - 10y.

y² - 10y
Divide -10 by 2 to get -5.
Square -5 to get 25.
Add 25 on both sides.

$(x - 3)^{2}+ y^{2} - 10y + 25= 90$

Factor y² - 10y + 25 to get (y - 5)²

$(x - 3)^{2}+ (y - 5)^{2} = 90$

Now our equation is in the correct form. We can easily see that h is 3 and k is 5. (not negative because the original equation has -h and -k so you must multiply -1 to it)

Since (h, k) represents the center, (3, 5) is the center and 5 is the y-coordinate of the center.

7 0

2 years ago

Graph h(t)=-2(t+5)^2+3, find h(-8)

NARA [144]

Answer:

h(-8)=-15

Step-by-step explanation:

Substitute t=-8

h(-8) =-2(-8+5)^2+3

=-2(-3)^2+3

=-2(9)+3

=-18+3

=-15

8 0

2 years ago

Read 2 more answers

on the football team, two out of every seven players are seniors. if the team has 84 players, how many are not seniors.

zaharov [31]

There are 60 players on football team that are not seniors.

Step-by-step explanation:

<u>Method 1:</u>

Given

Total students = 84

Also given that

2 out of 7 are seniors

Which is 2/7

So in order to find the total number of seniors we will multiply the whole number of students to 2/7

$Senior\ students = \frac{2}{7} * 84\\= 24$

So there are 24 seniors on the football team.

Players that are not seniors = 84 - 24 = 60

There are 60 players who are not seniors.

<u>Method 2:</u>

We can divide the total number by 7, to get how many sets of 7 players will be there

= 84/7 = 12

Now,

Multiplying 12 with 2 will give us the number of seniors in football team.

12*2 = 24 seniors

So,

Not seniors =84-24 = 60

Keywords: Percentage, Units

Learn more about percentage at:

#LearnwithBrainly

7 0

2 years ago