When you add a positive value to the argument of a function, its graph shifts to the left, the same number of units added to the argument.
This is, the graph of f(x+a) is the graph of the function f(x) shifted a units to the left.
Then, g(x) is f(x+3) = (x+3)^2
Hey there!
In order for you to solve for this. You have to COMBINE YOUR LIKE TERMS
(9 )+ (5r - 9r)
(5r - 9r) = -4r
(+ 9) = +9
Answer: -4r + 9
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
100-(8 times y)
Step-by-step explanation:
The high school softball team needs to buy T-shirts for their games. The T-shirts cost $8 a piece and they only have $100 to spend.
8 a peice
This means that the money costs 8$ for each of the players. We don't know how many players there are, so we will just label the amount of players as "y"
And we will multiply 8 times y to get our answer
And then we will subtract THAT answer minus 100 to get our full answer.
Hope this helps!
Have a great day!
Note that f(1) = 6(1)+2 = 8. Next, evaluate g(x) at x=8: g(f(1)) = g(8) = 2(8) + 4/5, or 16 4/5.
Answer:
a.)x² + y² = 900
b.)y = √900 - x²
Step-by-step explanation:
P.S - The exact equation is as follows :
As given,
The shape of the roller coaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.
a.)
Equation of circle be x² + y² = r²
As given , leg of the roller coaster is 30 feet above the ground.
⇒ r = 30
⇒x² + y² = 30²
⇒x² + y² = 900
∴ we get
Equation of height of Roller coaster - x² + y² = 900
b.)
As we have, x² + y² = 900
⇒y² = 900 - x²
⇒y = √900 - x²