Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
Answer:
-12u + 11z
Step-by-step explanation:
The above expression cannot be simplified, for:
1) There is no common variable (one being <em>u</em>, and the other being <em>z</em>).
2) There are no common factors in between 12 & 11)
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 11: 1, 11
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Here is the answer for questions like this you can use photo math for a simple fast way to do this math
17.4736843 or 17 remainder 45
Answer: 1875
Hope this helps!