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Natasha2012 [34]
3 years ago
9

9 to the x-5 power=27

Mathematics
2 answers:
zhannawk [14.2K]3 years ago
7 0
9^{x-5} =27 \\\\ 3^{2(x-5)}= 3^3 \\\\ 2(x-5)=3 \\\\ 2x-10=3 \\\\ 2x=3+10 \\\\ 2x=13 \\\\ \boxed{x=\frac{13}{2}}
mars1129 [50]3 years ago
7 0
9^{x-5}=27\\
3^{2(x-5)}=3^3\\
2(x-5)=3\\
2x-10=3\\
2x=13\\
x=\frac{13}{2}
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The perimeter of a square is to be between 14 and 72 feet, inclusively. Find all possible values for the length of its sides. (&
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We know that the perimeter is the all the sides added up together. Generally, you have p = 2l+2w, where l is length and w is width.

For a square, all sides are of the same length, so you can write p=4x, where x is any side.

If the smallest perimeter is 14, then 14 = 4x, so x is 3.5. If the largest perimeter is 72, then 72 = 4x, so x is 18.

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3 years ago
Harry fills up his Jeep with gasoline and notes that the odometer reading is miles. The next time he fills up his Jeep, he pays
lukranit [14]

Complete question :

Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?

Answer:

10.9 miles per gallon

Step-by-step explanation:

Given that :

Odometer reading when filled up with gasoline = 23,568.7 miles

Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles

Miles per gallon gotten :

(Current Odometer reading - reading when filled up) / gallon of gasoline

(23706.3 - 23568.7) / 12.6

= 10.920634

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3 years ago
Mr, Obrien needs to buy 8 television for the school. Each television costs $795. Mr. O'Brien has 120 fifty-dollar bills that he
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Read 2 more answers
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Answer:

16* C

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3 years ago
Which function has a vertex at (2, 6)?
vlabodo [156]

The function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function that has vertex at (2, 6)

The options are:

f(x) = 2|x – 2| – 6

f(x) = 2|x – 2| + 6

f(x) = 2|x + 2| + 6

f(x) = 2|x + 2| – 6

As we know the vertex form of a quadratic function is given by:

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Similarly, mod function  can be expressed as:

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In the function:

f(x) = 2|x – 2| + 6

The vertex of the function is (2, 6)

Thus, the function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

4 0
2 years ago
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