Answer: 4h - 3
<u>Step-by-step explanation:</u>
replace "x" with "h - 1" and simplify
f(x) = 3x + h
f(h - 1) = 3(h - 1) + h
= 3h - 3 + h
= 4h - 3
You can subtract 4x from each side of the equation.
Then you'll have the variable only on one side.
Before: 5x - 7 = 4x - 1
After: x - 7 = - 1
Now it's a lot easier to solve.
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I just noticed that you're giving 10 points for this one.
That's a bunch, so I guess I owe you some more ...
I really ought to go ahead and finish the solution:
Original equation: 5x - 7 = 4x - 1
Subtract 4x from each side: x - 7 = - 1
Add 7 to each side: x = 6
(Once you subtracted 4x from each side,
there really wasn't much more left to do.)
Answer:
After 6 days 1/64 of the coin will remain, while after 28 days 1/268435456 will remain. Now, it will never completely disappear, since it can always be reduced to a larger number.
Step-by-step explanation:
Since after a while, Jada picks up a coin that seems different than the others, and she notices that the next day, only half of the coin is left, while on the second day, only 1/4 of the coin is left and, on the third day, 1/8 of the coin remains, to determine what fraction of the coin remains after 6 days, what fraction of the coin remains after 28 days and determine if the coin will disappear completely, the following calculation must be performed:
1/2 ^ 6 = X
0.015625 = X
1/64 = X
1/2 ^ 28 = X
0.0000000037252902984619140625 = X
1/268435456 = X
Thus, after 6 days 1/64 of the coin will remain, while after 28 days 1/268435456 will remain. Now, it will never completely disappear, since it can always be reduced to a larger number.
Answer:
The values of k are 2/3 and -1
Step-by-step explanation:
Product of zeros = αβ= constant / coefficient of x^2 = 4/k
Sum of zeros =α+β = - coefficient of x / coefficient of x^2= -4/k
Given
Consider a= α and b= β
can be written as 
if we add 
in the above equation.
Putting values of αβ and α+β
The values of k are 2/3 and -1
