Answer:
x = 13 and x = 1
Step-by-step explanation:
(x-7)² = 36
simplify left side of equation
x² - 14x + 49 = 36
Our object now is to get every thing on the left side of the equal sign so we can factor. To do this, we subtract 36 from both sides
x² - 14x + 13 = 0
we then factor the left side of the equation
( x - 1 ) ( x - 13 ) = 0
we then set factors equal to 0 and solve both factors for x
x - 1 = 0
add 1 to both sides
x = 1
x - 13 = 0
add 13 to both sides
x = 13
The values of x are x = 13 and x = 1
First, lets subtract the goal by 3, because she already did them.
15 - 3
12
Now, lets divide by one because that will leave you with the number of days
12/1
12
So, It will take her 12 days if she keeps up with her goal.
Hope this helps!
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ANSWER
The restrictions are
EXPLANATION
We were given the rational function,
The function is defined for all values of a, except
This has become a quadratic trinomial, so we need to split the middle term.
We do that by multiplying the coefficient of 
which is 5 by the constant term which is 3. This gives us 15.
The factors of 15 that adds up to 16 are 1 and 15.
We use these factors to split the middle term.
We now factor to get,
We factor further to get,
This implies that,
This gives
These are the restrictions.
−13=7y+64
Step 1: Flip the equation.
7y+64=−13
Step 2: Subtract 64 from both sides.
7y+64−64=−13−64
7y=−77
Step 3: Divide both sides by 7.
7y
7
=
−77
7
y=−11
His average speed for the rest of the journey was of 48mph.
