We have the function:
()=−2(−3)^4+1
We need to go from this equation to the parent function x^4. To do that, we first do a vertical translation of 1 unit below. That is:
Vertical translation: f(x) - 1
= −2(−3)^4
Now, we make a horizontal shift of 3 units to the left, replacing x by x + 3:
f(x + 3) + 1 = −2()^4
Horizontal shift: f(x + 3) - 1
= −2x^4
We can make a horizontal expansion if we multiply this function by 1/2:
Horizontal expansion: ( f(x + 3) - 1 ) / 2
= -x^4
Finally, we make a reflection around the x-axis by multiplying this result by -1:
x-axis reflection: -( f(x + 3) - 1 ) / 2
= x^4
Answer:
Pythagorean Theorem:
a^2 + b^2 = c^2
6^2 + b^2 = 12^2
36 + b^2 = 144
b^2 = 108
b = 10.4
Let me know if this helps!
Answer:
475 mph
Step-by-step explanation:
Distance = rate × time
time = distance / rate
If x is the speed of the plane in still air:
2100 / (x + 25) = 1890 / (x − 25)
Cross multiply:
2100 (x − 25) = 1890 (x + 25)
Distribute and solve:
2100x − 52500 = 1890x + 47250
210x = 99750
x = 475
Answer:
Answer 5
Step-by-step explanation:
-6+12-2+1
=6-2+1
=5
L = 14 - 6 = 8
w = 15 - 4 = 11
P of shaded = 2(8+9) = 2 (19) = 38
answer
last one 38ft
