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3 years ago

Which of the following functions has the same horizontal asymptote as the function graphed below?

Mathematics

1 answer:

Alla [95]3 years ago

7 0

Answer:

In most cases, there are two types of functions that have horizontal asymptotes. Functions in quotient form whose denominators are bigger than numerators when x is large positive or large negative.

Step-by-step explanation:

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A car dealer earns $100 a week plus 5.5% on all sales. If he sold $57,000 in cars this week, how much did he earn?

Nana76 [90]

Answer:

3235

Step-by-step explanation:

100 for the week plus 3135 which is 5.5% of 57,000

7 0

2 years ago

The region bounded by y=(3x)^(1/2), y=3x-6, y=0

Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is $y = (3x)^{\frac{1}{2} }$

⇒ $y^{2} = 3x$ ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

$y^{2} - y - 6 = 0$

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = $\int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx$

= $\sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}$

= $[\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} } }{3}] - [13.5 - 18 - 6 + 12]$

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0

3 years ago

Please answer this question...

MariettaO [177]

Answer:It should be x=1 not sure thought.

Step-by-step explanation:

4 0

3 years ago

Identify vertex and y-intercept of graph of function y= -3(x+2)^2+5

Doss [256]

Hello,

Vertex=(-2,5)
x=0==>y=-3(0+2)²+5=-7

3 0

3 years ago

Which function has a greater rate of change that the function represented in the table

Galina-37 [17]

I don't see a table

3 0

3 years ago