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USPshnik [31]
3 years ago
6

What is the vertical asymptote of the function f(x) = 3 log(x + 3) is x?

Mathematics
2 answers:
Art [367]3 years ago
6 0
Hello,

\lim_{x \to -3} 3 log(x+3) =-\infty
x=-3 is the vertical asymptote.
vivado [14]3 years ago
6 0
<h2>Answer:</h2>

The vertical asymptote of the function f(x) the vertical asymptote of the function f(x) is :

                                   x= -3

<h2>Step-by-step explanation:</h2>

The vertical asymptote of the logarithmic function are the possible value of the x where the function tends to infinity.

i.e. \lim_{x \to ?} f(x)\to \infty

Here we have the function f(x) as:

f(x)=3\log (x+3)

so when x= -3

we have:

f(x)=3\log (-3+3)\\\\i.e.\\\\f(x)=3\log (0)\\\\i.e.\\\\f(x)\to \infty

Hence, we get the vertical asymptote is: x= -3

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Translate the sentence into an inequality. Nine subtracted from the product of 4 and a number is greater than 17. Use the variab
nikdorinn [45]

Answer:

4y - 9 > 17

Step-by-step explanation:

Translate the sentence into an inequality. Nine subtracted from the product of 4 and a number is greater than 17. Use the variable y for the unknown number.

Unknown variable = y

Nine subtracted from the product of 4 and a number is greater than 17

4 multiplied by unknown variable 'y' = (4 * y) = 4y

9 subtracted from (4y) = 4y - 9

Then, the result is said to be greater than 17

4y - 9 > 17

Hence, The Inequality expression equivalent to the sentence above is 4y - 9 > 17

8 0
3 years ago
PLEASE HELP
babunello [35]

The expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2

Given that the softball diamond is square in shape.

Let the side of the square i.e. distance between consecutive bases is x

The distance from the 1st base to the 3rd base creates the hypotenuse of a right triangle, where each side is equal to x i.e. x is the side length of the square formed by the baseball diamond.  

Using the Pythagorean theorem we have:

x² +x²= c²,

where c is the distance from the 1st base to the 3rd base.

Combining similar terms gives us

2x²=c²

Taking the square root of both sides we have

√2x²= √c²

⇒x√2=c

⇒c=x√2

This is the expression for the distance from the 1st base to the 3rd base in terms of side length.

Therefore the expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2.

Learn more about the Pythagorean theorem

here: brainly.com/question/231802

#SPJ10

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Maru [420]
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Answer:

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Step-by-step explanation:

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