now, exponential functions have a horizontal asymptote at the x-axis, namely when y = 0, however, if you just move this one with a vertical translation of 2, then the horizontal asymptote will be at 2 instead.
y = 3(2)ˣ + 2
4a + 7b = 38 -> (1)
9a + 7b = 68 -> (2)
Subtract (1) from (2),
9a - 4a + 7b - 7b = 68 - 38
5a = 30
a = 6
I'll do a similar problem, and I challenge you to do this using similar techniques!
If John works for 15$ a hour with his friends rather than working for 20$ an hour for 50 hours a month, what's the monthly opportunity cost?
John would make 20*50=1000 dollars a month at the second option as he makes 20$ an hour 50 times. Next, if he works with his friends, he makes 15*50=750 dollars as he works 50 hours for 15 dollars an hour, or adds 15 50 times.
His opportunity cost would be <highest money>-<lowest money>=1000-750=250 dollars a month. Good luck on this question, and feel free to ask further questions!
The greatest value is 562.71
Answer:
<em><u>x=2, y=4</u></em> (as a point,) (2, 4) (last part is unnecessary unless you are graphing)
Step-by-step explanation:
Use substitution.
Substitute y for 2x.
Since y=2x, you can plug 2x into the place where y goes...
Instead of y=-1/2x+5
2x=-1/2x+5....Now solve
2.5x=5 (Sorry my computer cannot type fractions very clearly)
/2.5 /2.5 (dividing by 2.5 on both sides)
<u><em>x=2</em></u>
Now just plug x into any of the equations to find y (preferably the easier one).
y=2x becomes
y=2*(2)
=4
<em><u>y=4</u></em>
