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sergeinik [125]
3 years ago
13

How does 5 x(2)^n-1 simplify to 5/2 x (2)^n ? Please help me

Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

9514 1404 393

Explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  1/a^b = a^-b

__

  5\times2^{n-1}=5\times(2^n)(2^{-1})=5\times2^n\times\dfrac{1}{2}=\boxed{\dfrac{5}{2}\times2^n}

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Find g(-3)+5 if g(x)=2x-1
Wittaler [7]

Answer:

2

Step-by-step explanation:

g(x) = 2x-1

g(-3)+5

2(-3)-1 +5

-6-1+5

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6 0
3 years ago
it says it all in the picture I need help, please, and also show reasoning and how you got the answer
Alenkasestr [34]

Answer:

y = -2  when x = 0

Step-by-step explanation:

We are given points on the line such as ( 2, 2) and (6, 10) so we can find the equation of the line then find point (x=0, y=?).

General equation of the line is y = mx +b, where m is the slope and

b is y-intercept (where the line crosses the y-axis)

The slope m = (y2-y1)/ (x2-x1) = (10-2)/(6-2) = 8/4 = 2

Now the equation is y = 2x +b

To find b we substitute any of the points that are on the line, for example

(x=2, y=2) in the equation 2=2*2+b; 2-4 =b; -2 = b

The equation is y=2x -2

If x= 0 then y=2*0 -2; y = -2

4 0
3 years ago
Jamel wants to buy a PS 5. He found it for $500
Musya8 [376]

Answer:

150

Step-by-step explanation:

its 150 without taxes

7 0
3 years ago
Can someone please help me winner gets (Brainllest)
nadezda [96]

Answer:

For the first one wouldnt it be like:

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Step-by-step explanation:

4 0
3 years ago
If |14 -2x = 20, x could equal which of the following?
RSB [31]

Answer:

x would equal -3

Step-by-step explanation:

want to get rid of 14 from each side so 14 - 14 would get rid of that 20 - 14 = 6 now you still have a negative 2x

-2x / -2x gives you X to be alone now divide 6 with -2 which gives you -3

8 0
3 years ago
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