Answer: 
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Explanation:
We start with y = 1/x
Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.
Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.
Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.
Lastly, we tack on a +4 to shift the graph up 4 units.
The final result is
Answer:
Yes
Step-by-step explanation:
You will get $279,841.74 in that 50 years.
Answer:
A= 0.5 and B= 4040
Step-by-step explanation:
If you write out the equation and rearrange a little it gets easier to understand.
( a + b) + (a*b) + (a - b) you can rewrite this as
a + b + a - b + (a*b) this is the same as 2a + ab = 2021
The way I looked at it is to figure out how to get that number 1 at the end.
The number 2020 is easy to get to. How can you get the number 1 using either 2a or ab.
I looked at a = 0.5. 2 times 0.5 would be 1.
So now what would b have to be? We can get the 1 at the end with the 2a part of the equation so now we have to get ab = 2020.
b = 2020/a which using our a = 0.5, you can see that b would have to equal 4040. Test it all out in your equation.
0.5 + 4040 + (0.5 * 4040) + 0.5 - 4040
4040.5 + (2020) - 4039.5 = 2021
So A = 0.5 and B = 4040
Answer and Step-by-step explanation:
A Diophantine equation is simply an equation that relates whole numbers.
There are various types of Diophantine equations, but probably the most basic is the linear version: ax + by = c.
Different methods also abound for solving these types of equations:
- Coordinate geometry
- Modular arithmetic
- Induction
Hope this helps!
Answer:
12 cm
Step-by-step explanation:
12x15 (150)
2160/180
= 12 cm
