15$, I just multiplied 25 by .4 the product is 10 then just subtract that
When you add the equations in (a) you get 7x+y=24.
When you subtract the equations in (b) you also get 7x+y=24.
That means to solve both systems you can work with the same equation. However that is not enough. We must have two equivalent equations. We found only one.
Notice however that in the (b) we can take the first equation and divide every term by 2. When we do this we get 4x-5y=13. That’s the first equation in (a).
So both systems can be solved by working with the same two equations. These are 5x-5y=13 and 7x+y=24. And since we have two equations and two unknowns (the number of equations matches the number of variables) there is only one solution — one x and y that would make both systems true — solve both systems.
Basically we showed the systems are equivalent!
9514 1404 393
Answer:
Step-by-step explanation:
The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...
y -195 = 15(x -9)
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The "one-time fee" is the cost when hours are zero.
y -195 = 15(0 -9)
y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate
The one-time fee is $60.
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Step-by-step explanation:
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