Answer:

Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to

we have
the points (−1,12) and (1,2)
substitute



step 2
we know that
The equation of the line in slope intercept form is equl to

where
m is the slope
b is the y-intercept
we have


substitute in the linear equation and solve for b


therefore

The equation is(√7)^6x = 49x - 6
This equation can be solved by iteration.
Rearranging:
x = ( (√7)^6x + 6 )/49
We start with a value of x = 3.
This value can be substituted to the right side and new value of x can be obtained. This new value can be substituted again to the right side of the equation and another new value for x is obtained. This process is repeated until the old and new values of x are the same.
The result is,x = 0.5
(3/8)³ = (3/8)(3/8)(3/8)
Multiply across:
(3/8) x (3/8) = 9/64
Simplify:
(9/64)(3/8) = 27/512
27/512 is your fraction answer (cannot be reduced).
To find the decimal answer, divide:
27/512 = 0.05
0.05 (rounded) is your decimal answer
hope this helps
The Sample space for three cards is


There are two cards red(R) and black(B) and a six-sided die.
The event is one card is picked randomly and then rolls the die.
So, the Sample space is as follows.

<h3>Find Sample space if there are three cards.</h3>
Consider there were three cards red(R), black(B) and green(G) a six-sided die.
The event is one card is picked randomly and then rolls the die.
So, the sample space will be as follows,

.
Learn more about sample space here :-
brainly.com/question/24273864
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