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KatRina [158]
3 years ago
12

If log 2 = x and log 3 = y, write each logarithm in terms of x and y.

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

Step-by-step explanation:

log18 = log2 + log3 + log3 = x + 2y.

log9 = log3 + log3 = 2y.

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PLEASE HELP ASAP WILL GIVE BRANLIESTKayla is installing a rectangular play area in her backyard so her new puppy can run around.
diamong [38]

Answer:

The equation is P - 42 = 12

P = 54

Step-by-step explanation:

3 0
3 years ago
a small jet can fly 1,435 miles in 5 hours with a tailwind but only 1,215 miles in 5 hours into a headwind. find the speed of th
Ne4ueva [31]

Answer:

Speed of Jet in Still Air = 265 miles per hour

Speed of Wind = 22 miles per hour

Step-by-step explanation:

Let x be speed of jet

and c be speed of wind

We know D = RT, where

D is distance

R is rate

T is time

For first leg:

1435 miles in 5 hours, the rate is:

Rate = 287 mph

For second leg:

1215 miles in 5 hours, the rate is:

Rate = 243 mph

So 287 is with wind and 243 against wind, thus we can write:

x + c = 287

x - c = 243

Adding gives us:

2x = 530

x = 265 miles per hour [still rate]

Speed of wind:

x + c = 287

265 + c = 287

c = 22 miles per hour [speed of wind]

4 0
3 years ago
Samuel has been reviewing his notes on functions in preparation for the next test. He thinks it’s possible in a function for the
Alex Ar [27]

Answer:

He is incorrect.

Step-by-step explanation:

The range values cannot be greater than the domain values because of the known mathematical fact that all inputs (domain) can only have one output (range). This mathematical fact proves that the range can only be equal to the amount of inputs, not greater. To show why let's look at an example.

Ex:

Inputs:     Outputs:

   1                   2

   3                  2

   6                  2

Using that example we can already conclude that the domain values can be greater than the range values because each of the different inputs can have the same outputs as shown in the table above. But the thing with range is you can't have more than one output for the inputs. For example 1 (input) = 2 output and this will always equal 2 no matter what. You cannot have the inputs of 1 and have different outputs 2 and 4. Since you cannot have more than one output for an input it makes the amount of range values impossible to be greater than the domain values.

Hope that helped.

5 0
3 years ago
Simplify the expression below. 2x - 10 + 6x
PtichkaEL [24]

Answer:

8x - 10

Step-by-step explanation:

Combine like terms:

2x + 6x - 10

= 8x -10

4 0
3 years ago
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svet-max [94.6K]

Answer:

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Step-by-step explanation:

5 0
2 years ago
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