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Paul [167]
3 years ago
12

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

Mathematics
1 answer:
Mila [183]3 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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3 years ago
Louisa drew a polygon with six sides of equal length. If the perimeter of Louisa's polygon is 95.4 centimeters, how long is each
Agata [3.3K]

Answer:

15.9 centimeters

Step-by-step explanation:

the information we have is:

Perimeter: P=95.4cm

Number of sides of the polygon: n=6

since each side has equal length, we can use the following equation to find the measure of one side of the polygon, the equation for perimeter:

P=nl

where n is the number of sides and l is the length of each side.

So we clear for l and we get:

l=\frac{P}{n}

and subtituting the known values:

l=\frac{95.4cm}{6}\\ l=15.9cm

each side is 15.6 centimeters long

3 0
3 years ago
Why can't you use the product of powers rule to simplify<br> this expression? Explain.<br> 3^4.2^8
Tema [17]

Answer:

Because the base of this expression is not same.

3 0
3 years ago
Please help me. I desperately need to pass Math T-T​
Ad libitum [116K]

Answer:

60 degrees

Step-by-step explanation:

C = 2(pi)r

The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.

C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm

The length of the arc of the sector is 12.56 cm.

We can find the fraction this length is of the full circumference.

(12.56 cm)/(75.36 cm) = 1/6

The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.

That means the angle of the sector is 1/6 the angle of an entire circle.

An entire circle has a central angle of 360 degrees.

1/6 * 360 degrees = 60 degrees

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3 years ago
The isosceles triangle has a base that measures 14 unitsThe value of y, the length of each leg, must be
saul85 [17]
The isosceles triangle length of each leg would have to be greater than 7 
3 0
3 years ago
Read 2 more answers
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