Answer:
g(x)=(x+7)^2-3
Step-by-step explanation:
Given:
f(x)= x^2
Now we have to translate f(x) 7 units to the left and 3 units down to form the function g(x).
As per the rules of translation
when any parent function, in given case f(x)=x^2, is translated to 'a' units to the left then 'a' is added to the value of x. thus making f(x+a)
Also when the parent function is translated any 'a' units down then 'a' is subtracted from the value of function. thus making f(x)-a
Translating f(x), 7 units to the left
f(x+7)= (x+7)^2
Translating f(x+7), 3 units down
f(x+7)-3 = (x+7)^2-3
Hence new function g(x)=(x+7)^2-3!
Answer:
-i
Step-by-step explanation:
Our number is i = √-1, and we want to find i³, which is essentially just i * i * i, so:
i³ = i * i * i = √-1 * √-1 * √-1 = -1 * √-1 = -1 * i = -i
The answer is -i.
Museum admission fee = $12.50
Lunch = 5.95 + 1.25 + 1.69 = $8.89
Tax = 7.25% of 8.89 = 0.66675
Tip = 15% of 8.89 = 1.3335
Total spend for lunch = 8.89 + 0.66675 + 1.3335 = 10.89
Total spend for the day = 10.89 + 12.50 = $23.39
Answer:
10.6%
Step-by-step explanation:
Normal curves are symmetrical. That means that on a standard normal distribution, the area less than -1.25 is the same as the area greater than +1.25. The total area under the curve is 1, so:
P = 1 - 0.894
P = 0.106
Approximately 10.6% of the area under the curve lies below -1.25.
