Answer:
Step-by-step explanation:
The given function is 
.
Let the new function be g(x).
Then g(x) is obtained by shifting f(x) up by 4 units.
This implies that: 
Hence the new function is
Answer: The angle is 
and the tangent is 1
Step-by-step explanation:
The angle 
at wich the functions sine and cosine are equal is . Let's prove it:
Hence:
On the other hand, the tangent function is defined as:
Then:
Answer:
g(3) = 6
Step-by-step explanation:
The right side of the equation is the part with all the information for the doing of the math.
x^2 - 3 means square the number and then subtract 3.
On the left side of the equation is the g(x). g(x) or f(x) or k(x) is literally just y. Someone could ask what is f(x)? It is y.
What is g(x)? It is y.
What is g? It is the name of the function. So instead of saying ..."the thing where you square a number and then subtract 3..." you can just say "g". Now the (x) beside g DOESNOT mean times, bc sometimes parenthesis means times. THIS IS NOT TIMES!
The (x) is like a billboard. Tells you who will be starring as x in the work on the right side of the equation.
If you see g(x)=x^2-3
then whatever is in the ( ) on the left, put that in the place of x on the right.
g() = ^2 - 3
g(12) = 12^2 - 3
g(-7) = (-7)^2 - 3
or like your question
g(3) = 3^2 - 3
do the calculation
g(3) = 9 - 3
g(3) = 6
done! Hope this helps!
Answer:
12 x 3 = 36 + 33
Step-by-step explanation:
sorry if it's wrong but the answer to the equation i put out would be 69
Answer:
First city: $5,500
Second city: $5,000
Step-by-step explanation:
Let's define x as the hotel price in the first city and y the hotel price in the second city. We can start with this equation:
y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)
Then we can say
0.065x + 0.045y = 582.50 (the sum of the tax amounts were $582.50)
We place the value of y from the first equation in the second equation:
0.065x + 0.045 (x - 500) = 582.50
0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...
0.11x = 605
x = 5,500
The cost of the first hotel was $5,500
Thus, the cost of the second hotel was $5,000 (x - 500)
