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nydimaria [60]
3 years ago
11

Apply the properties of exponents to verify that each statement is an identit.

Mathematics
1 answer:
Sholpan [36]3 years ago
3 0

Answer and explanation :

We have given that the expression \frac{2^{n+1}}{3^n}=2\times (\frac{2}{3})^n

We have to prove L.H.S = R.H.S

Lets take L.H.S

\frac{2^{n+1}}{3^n}

It can be written as \frac{2^{n+1}}{3^n}=\frac{2^n\times 2^1}{3^n} ( As in multiplication exponent are added )

So \frac{2^n\times 2^1}{3^n}=(\frac{2}{3})^n\times 2 = R.H.S

Hence proved  

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How do I solve 2x+y=17 in slope intercept form?
sergij07 [2.7K]
Slope intercept form is y=mx+b

Just move the parts of the equation around until it's in that format.

y=-2x+17

Remember when you move the 2x to the other side of the equation you must change the sign, so it becomes -2x.
8 0
3 years ago
What is the function rule for the line?
Anna11 [10]

f(x) = -2/3 - 2

Because it intercepts the y axis at -2 and the rise over run is -2 (going down two) and 3 (going right three)

5 0
3 years ago
Read 2 more answers
Find x, when p(x) = -1,
Neporo4naja [7]

Answer:

positive or negative 4

Step-by-step explanation:

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8 0
4 years ago
Keith is racing his little sister Pattie and has given her a 15 foot head start. She runs 5ft/sec and he is chasing at 8ft/sec.
hodyreva [135]
Pattie runs at 5 ft/sec
She has got a head start of 15 feet.
So after 1 second, Pattie runs = (5+15) ft <span>                                                   
                                                  = 20 </span> ft
After 2 second Pattie runs = (20+5)ft
                                           = 25 ft
After 3 second Pattie runs = (25+5) ft
                                           = 30 ft
After 4 seconds Pattie runs = (30+5) ft
                                             = 35 ft
After 5 seconds Pattie runs = (35+5) ft
                                             = 40 ft
After 6 seconds Pattie runs  = (40+5) ft
                                             = 45 ft
Now Keith runs at 8 ft/sec
After 1 second Keith runs = 8 ft
After 2 second Keith runs = (8+8) ft
                                           = 16 ft
After 3 second Keith runs = (16+8) ft
                                           = 24 ft
After 4 second Keith runs = (24+8) ft
                                          = 32 ft
After 5 second Keith runs = (32+8) ft
                                           = 40 ft
After 6 second Keith runs = (40+8) ft
                                           = 48 ft
So Pattie will stay ahead of Keith upto 4 seconds. In the 5th second Pattie and Keith will be level and in the 6th second Pattie will be overtaken by Keith.


8 0
4 years ago
I need help finding the mean, median, mode, and range of 25.2, 45.5, 61.7, and 28.3
Tanya [424]
There is no mode . the range is 16.2 bc it’s the higher number minus lower . median is 36.9 which you can round to 37 . mean is 40
3 0
3 years ago
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