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3 years ago

What’s the vertical asymptote of the equation f(x)=log3(x-5)

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

7 0

Answer:The line x=5

Step-by-step explanation:

Asymptote of a function means the straight line closest to some part of the function which tends to ∞ or -∞. We know that ln x or log x has asymptote x=0. Here , the function is f(x) = log 3(x-5), so, the vertical asymptote will be the line x =5.

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The tiles below represent the polynomial 2x+ 5x+ 3.

alekssr [168]

Answer:

(2x+3)(x+1)

Step-by-step explanation:

A P E X

6 0

3 years ago

Find the measure of 0. Round answer to the nearest tenth. Pleas help

DENIUS [597]

Answer:

$\theta=36.43^{\circ}$

Step-by-step explanation:

Given that,

Base = 42

Perpendicular height = 31

We need to find the value of $\theta$ . It can be calculated using trigonometry as follows :

$\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})$

Put all the values,

$\theta=\tan^{-1}(\dfrac{31}{42})\\\\\theta=36.43^{\circ}$

So, the value of $\theta=36.43^{\circ}$ .

6 0

3 years ago

When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year f

MA_775_DIABLO [31]

Answer:

Option D is the correct answer.

Step-by-step explanation:

Initial height = 4 feet

Given that the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.

Let the rate of growing each year be g.

After 6 years height of tree = 4 + 6g

After 4 years height of tree = 4 + 4g

At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.

That is

$4+6g=4+4g+\frac{4+4g}{5}\\\\4+6g=\frac{20+20g+4+4g}{5}\\\\20+30g=24+24g\\\\6g=4\\\\g=\frac{2}{3}ft/year$

Option D is the correct answer.

8 0

3 years ago

You spend 60 on clothes and buy 3 dvd movies. your friend spends nothing on clothes and buys 8 dvd movies. you both spend the sa

garik1379 [7]

Each dvd cost $7.50 how? Your friends buy 8 dvd's and in total is 60, you want to divide 60 from 8 and find that it's 7.50 and then multiply 8 to 7.50 and it should be 60. Hope this helps!!

5 0

2 years ago

If arc VY = 132° and ∠YUV = 41°, what is the measure of arc XV?

Tom [10]

Answer:

Step-by-step explanation:

Use this equation

$\frac{b - a}{2} = angle \: yuv$