❄ Hi there,
keeping in mind that the sum of complementary angles is 90°,
set up an equation, letting 
be x –
{and we know that 
}
__________
Keeping in mind that a right angle is 90°,
set up an equation, letting 
be x:
{and we know that 
}
❄
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"
means that if the monthly income of John is $ 5,000 ,he can spend at most
f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)
Or for example
if Johns monthly income is $8,000, then he can spend at most
f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)
2.
Now, assume that the maximum amount that John can spend is y.
Then, y=15,000+1.5x
we can express x, the monthly income, in terms of y by isolating x:
y=15,000+1.5x
1.5x = y-15,000
X=y-15,000/1.5
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:
G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.
3.
If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000
dollars.
Answer: $ 30,000
Remark: g is called the inverse function of f, since it undoes what f does.
instead of g(x), we could use the notation
Answer:
A (2, -8/5)
Step-by-step explanation:
The answer would be A I believe. This is because to get from C to D, it would be going down 6 and to the right by 10.
To make CP = 3/5CD. We multiply how much we move by 3/5:
-6 * 3/5 = -18/5 (note that the 6 would be negative because its going down)
and 10 * 3/5 = 6
Then we add these values to the coordinates of C:
(-4 + 6, 2 - 18/5) =
(2, -8/5). So A would be the answer.
The answer is c) 45 times PI cubed.
16x + 21y = 555
Step-by-step explanation:
Let x be the no. of 18-hole course
And y be the no. of golf balls
16x + 21y = 555
