Which number is IRRATIONAL? A) 64 B)81 C) 96 D) 144

Mathematics

1 answer:

sdas [7]3 years ago

7 0

96 because it is the only one that cant be rooted evenly

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Answer to the equation -6+2c=3c-(6+5)

Phantasy [73]

Answer:

c = 5

Step-by-step explanation:

- 6 + 2c = 3c -(6+5)

-6 + 2c = 3c -11

-6 + 11 = 3c- 2c

5 = c

3 0

3 years ago

During your cycling trip, you and your friends often stayed in hostels. The prices of these are listed below.

kiruha [24]

Answer:

a) NTRD standard price = $26.30
b) range: $11.20 to $33.00, a range of $21.80

Step-by-step explanation:

a) The average is the sum divided by the number of contributors. Let n represent the standard price at Night-Time Rest Days. Then ...

... ($22.45 +18.55 +24.50 +11.20 +n)/5 = $20.60

... 76.70 + n = 103.00 . . . . multiply by 5 and collect terms

... n = $26.30 . . . . standard price at NTRD

b) The lowest standard price is $11.20. The highest breakfast price is $33.00. The range is the difference between these ...

... $33.00 -11.20 = $21.80 . . . . range in cost for a single night

7 0

3 years ago

Simplify (x^a/x^b)^a+b

ioda

Answer:

May it helps you ( give me a like ).

8 0

3 years ago

HELP HELP HELP PLEASE!!!!!!!!!!

Mrac [35]

9514 1404 393

Answer:

(a) vertical compression by a factor of 1/3

Step-by-step explanation:

We can see that g(x) = 1/3f(x). Multiplying a function by a constant scales the graph vertically by that factor. When the magnitude of the factor is more than 1, we say the graph is "stretched." When it is less than 1, we say the graph is "compressed" by that factor.

Here, the scale factor is 1/3, so the graph is "vertically compressed by a factor of 1/3."

_____

Additional comment

My personal preference is for compression to be described by the factor the graph is divided by. I would call g(x) a compression of f(x) by a factor of 3. Modern curriculum authors disagree, calling it compression by a factor of 1/3.

Be careful. Using the currently accepted language, a stretch is always by a number larger than 1, and a compression is always by a number less than 1. This rules out choices C and D simply on the basis of the language used.

For many graphs, vertical scaling and horizontal scaling can be interchanged. We note that g(x) is wider than f(x), so could be stretched horizontally by some factor. That factor would be √3. The equation using a horizontal stretch factor would be g(x) = (x/√3)^2. Replacing x by x/k is a stretch by a factor of k in the horizontal direction.