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Paul [167]
2 years ago
12

Determine the interval(s) where f(x) = In (9x - 81) is continuous.​

Mathematics
1 answer:
Mila [183]2 years ago
6 0

Answer: (9, ∞)

Step-by-step explanation:

You cant take the natural log of a negative number, and you cant take the natural log of 0. So, to find the intervals where the function is defined, set the inside of the natural to 0.

9x - 81 = 0

x = 9

The intervals where this function is continuous is from 9 --> infinity

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Graph the image mop for the translation
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Step-by-step explanation:


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3 years ago
Read 2 more answers
What is the value of x in the equation below?
Alexeev081 [22]
X equals 4

I just did it
8 0
2 years ago
The mold for a cone has a diameter of 4 inches in 6 inches tall what is the volume of the cone mold to the nearest 10th
anygoal [31]

Hey there!

The formula for the volume of a cone is V=\pi r^{2} \frac{h}{3}.

In this cone, we have the given information:

  • Its diameter is 4 inches
  • Its height is 6 inches

The information we need for this formula is the radius and height.

We already have the height, but not the radius.

Fortunately, we can easily get it by dividing the diameter by 2.

4 \div 2 = 2

So, the radius is 2.

Let 3.14 be \pi.

Plug in each value into the equation. V = 3.14 \times 2^{2} \times \frac{6}{3}

Simplify the exponent and fraction.

V = 3.14 \times 4 \times 2

Multiply the three numbers together.

V = 25.12

But wait! We have to round this to the nearest tenth.

When rounding, we look at the place value one less than the one we are rounding to. Since we are rounding to the nearest tenth, we look at the hundredths place, which is the digit 2.

Since 2 is less than 5, we round down to 25.1.

This is the volume of a cube, and it is measured in inches, so the unit we will use is in^{3}.

So, your <u>final answer</u> is 25.1 in^{3}!

Hope this helps!

8 0
2 years ago
12.38 in expanded form
vitfil [10]
12.38 in expanded form is write like:-

10 + 2 + .3 + .08 = 12.38

To write a number in expanded form just means to write the number in a layout and when you add it up it will become the number you needed to write in expanded form. 

So, 12.38 written in expanded form is:- 10 + 2 + .3 + 0.8

Hope i helped ya!! 
4 0
3 years ago
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