Step-by-step explanation:
as I don't see any equations or graphs here I can only answer in general :
f(x) is the patent function.
g(x) is the transformed function.
g(x) = -6f(x-7)
the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).
the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).
and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.
If 3 represents women, then we divide 15 by 3 to get 5. once we have 5, we must then multiply 2 and 5. once that is done we have 10. So the number of men in the dance recital is 10.
Hope this answer helps! feel free to ask any additional questions :)
Answer:
2/5
Step-by-step explanation:
make it reciprocal
2x/5 = 4/25
cross multiply the numbers
2x × 25 = 4×5
2x= 20/25
2x= 4/5
x = 2/5
3 1/4 is the right answer
Answer:
Both angles are right angles.
Step-by-step explanation:
Supplementary angles sum to 180°. Since we know that both angles are congruent, let's call them x and x. We can write the following equation:
x + x = 180
2x = 180
x = 90°
Therefore, we can conclude that both angles are right angles.
