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2 years ago

Which function has a horizontal asymptote of y = 3?

Mathematics

1 answer:

adoni [48]2 years ago

6 0

Answer:

f(x) = 2(4^x)+3

this gets you horizontal asymptote of y = 3

Step-by-step explanation:

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Which graph represents the function f(x)=3x-2/x-2

Marta_Voda [28]

ANSWER

The last graph is the correct answer

EXPLANATION

The function,
$y = \frac{3x - 2}{x - 2}$ is a rational function.

This rational function has a vertical asymptote

at where the denominator is zero.

That is,
$x - 2 = 0$

This means that, the vertical asymptote occurs at

$x = 2$

The graph also has a horizontal asymptote at,

$y = \frac{3}{1}$

Thus, the horizontal asymptote occurs at
$y = 3$

At x-intercept,
$f(x) = 0$

This implies that,

$\frac{3x - 2}{x - 2} = 0$

$\Rightarrow \: 3x - 2 = 0$

$3x = 2$

$\Rightarrow \: x = \frac{2}{3}$

The graph cuts the x-axis at,

$( \frac{2}{3} ,0)$

At y-intercept,

$x = 0$

This implies that,

$f(0) = \frac{3(0) - 2}{0 - 2} = \frac{ - 2}{ - 2} = 1$

The graph cuts the y-axis at,

$(0,1)$

The graph that satisfy all the above conditions is the last one.

3 0

3 years ago

Read 2 more answers

The center of Circle D is (0, 0). The circumference of the circle passes through Point E (-7, -4). Find the length of the radius

ivann1987 [24]

Answer:

radius = $\sqrt{65}$

Step-by-step explanation:

The radius of the circle is the distance from the centre to a point on the circumference.

Calculate the radius using the distance formula

r = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 7, - 4)

r = $\sqrt{(-7-0)^2+(-4-0)^2}$ = $\sqrt{49+16}$ = $\sqrt{65}$

4 0

4 years ago

What is the volume of this rectangular prism? Enter your answer in the box. ft? = 1 ft3

olga nikolaevna [1]

To find the volume you’ll need to multiply length*width*height
your length= 4ft
your width= 4ft
your height= 5ft
so now multiply
4*4*5= 80ft^3

5 0

3 years ago

Roshonda begins riding her bike home from school at 3:00p.M., traveling 12 miles per hour. James leaves school in a bus a quarte

weeeeeb [17]

Answer:

Step-by-step explanation:

At the point where Roshonda and James meet each other, they must have covered equal distances.

Let x represent the distance that Roshonda covered while riding from school to home and also the distance covered by James while travelling in a bus from school.

Let t represent the time it took Roshonda to cover x miles.

Distance = speed × time

Therefore

x = 12 × t = 12t

James left school 0.25 hours later at a speed of 35 miles per hour. Time spent by James in covering x miles would be t - 0.25.

Distance covered would be

x = 35(t - 0.25) = 35t - 8.75

Since the distance covered is the same, then,

12t = 35t - 8.75

35t - 12t = 8.75

23t = 8.75

t = 8.75/23 = 0.38 hours

0.38 + 0.25 = 0.63 hours

0.63 × 60 = 37.8 minutes

At about 3:38 pm, they would meet

6 0

3 years ago

Which of the following is a factor of 5x3 + 320?

bogdanovich [222]

Factor:
5x^3 + 320

Answer when factored:
= 5(x + 4)(x^2 - 4x + 16)

Hope that helps!!!

3 0

4 years ago