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bogdanovich [222]
2 years ago
7

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
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