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olga nikolaevna [1]
3 years ago
11

HELP!! Just need the answer to the question in the picture, please!

Mathematics
1 answer:
Olin [163]3 years ago
3 0
First thing to do is to switch the x and the y and then solve for the new y.  Easier said than done! Here's our equation with the switch: x=2 ^{y} +6.  We need to get that y out from inside that exponent.  This is an exponential equation, and the inverse of an exponential equation is a log equation.  Let's do some simplifying here first: x-6=2 ^{y}.  The 2 is now the base of our log (x-6) so now we have y=log _{2} (x-6), which is the last choice above.
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In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police
Lyrx [107]

Answer:

Option 3 - 4 miles

Step-by-step explanation:

Given : In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police  station and the fire station. The distance between the library and the police station is 5 miles.

To find : How far apart are the police  station and the fire station?

Solution :

Let the distance between police station and fire station be 'x'.

The distance between the library and the police station is 3 miles less than twice the distance between the police  station and the fire station.

i.e. 2x-3

The distance between the library and the police station is 5 miles.

i.e. 2x-3=5

2x=5+3

2x=8

x=4

Therefore, The police and fire stations is 4 miles apart.

So, Option 3 is correct.

3 0
3 years ago
Read 2 more answers
The perimeter of a playing field for a certain sport is 174 ft. The field is a rectangle, and the length is 45 ft longer than th
Leno4ka [110]

Answer:

21 ft by 66 ft

Step-by-step explanation:

From the question,

P = 2(L+W)............... Equation 1

Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.

If the Length of the Field is 45 ft longer than the width,

L = 45+W............ Equation 2

Substitute Equation 2 into equation 1

P = 2(45+W+W)

P = 90+4W............. Equation 3

Given: P = 174 ft.

Substitute into equation 3

174 = 90+4W

4W = 174-90

4W = 84

W = 84/4

W = 21 ft.

Substituting the value of W into equation 2

L = 45+21

L = 66 ft.

Hence the dimensions of the playing field is 21 ft by 66 ft

3 0
3 years ago
What is slope and how do you find it??
lions [1.4K]

the formula for slope is

\frac{(y2-y1)}{(x2-x1)}

so just replace y and x for the proper values

3 0
3 years ago
What is the answer to 3n+16=7n
Dahasolnce [82]
N = 4.
I’m not sure if that was what you were asking though.
5 0
3 years ago
Read 2 more answers
Which pair of numbers is relatively prime?
tamaranim1 [39]
Not A.(17 is a common factor)
B.  only common factor is 1
not C  (7 is a common factor)
D.   only common factor is 1

Both B and D are relatively prime.

3 0
3 years ago
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