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:
2 CUPS
Step-by-step explanation:
Write two equations, where "b" = bottles, and "c" = cups
2b +5c = b +7c -->
b = 2c
THERE ARE 2 CUPS IN A BOTTLE
Answer:
1)-5
2)-15
3)1
4)-11
5)-70
if negative use () for example
(-2)-7+4
Answer: Amount = $143776
Step-by-step explanation:
Given that London was offered a job that paid a salary of $93,000 in its first year. The salary was set to increase by 2% per year every year.
Let P = 93000
Rate R = 2%
The amount of salary he will receive after 22 years can be calculated by using exponential equation
A = P(1 + 2%)^t
Where t = 22 years
A = 93000(1.02)^22
A = 93000 × 1.545979
A = 143776.11 dollars