First you need to determine the defined range
(9x + 38) -
(x + 2) =
(81), x∈ (-2, + ∞)using the
(x) -
(y) =
(
), simplify the expression
(
) =
(81)
write the number in the second set of parenthesis in exponential form
(
) =
(9²)
using
(
) = x, simplify the expression
(
) = 2
the expression
(x) = b is equal to x =
= 7²
evaluate the power
= 49
multiply both sides of the equation by x + 2
9x + 38 = 49(x + 2)
distribute 49 through the parenthesis
9x + 38 = 49x + 98
move the variable to the left side and change its sign
9x - 49x + 38 = 98
move the constant to the right side and change its sign
9x - 49x = 98 - 39
collect the like terms
-40x = 98 - 38
subtract the numbers
-40x = 60
divide both sides of the equation by -40
x = -
, x ∈ (-2, + ∞)
finally,, check if the solution is in the defined range
x = -
this means that the correct answer to your question is x = -
let me know if you have any further questions
:)
Answer:
50
Step-by-step explanation:
x + 30 = 180 - 2x [vertically opposite angles]
x = 180 - 30 - 2x
x = 150 - 2x
x + 2x = 150
3x = 150
x = 150/3
x = 50
Answer:
Step-by-step explanation:
Assuming the complete question :"It took 16 seconds for a mercury thermometer to rise from -4C degrees to 100C degrees when it was taken from a freezer and placed in boiling water. Show that somewhere along the way the mercury was rising at the rate of 6.5degreesC/second.
"
For this case we can find the rate of change like this:
For this cas we have the following data:
represent the initial temperature
represent the final temperature
we assume that we star at 0 seconds
represent the final time
So we can replace the info and we got:
And that satisfy the proof.