The graph of G(x) is shifted to the right and down.
This means the exponent (x) is having a number subtracted from it and then the the equation is also having a number subtracted from it.
Looking at the graph, the line is shifted about 2 units to the right and about 7 units down.
The answer would be g(x) = 3^(x-2) -7, which is the last answer.
Answer:
(m - n ) = b
mn = c
The relationship between m and n is such that their product is c and their difference is b
Step-by-step explanation:
roots are x = -m and x = n
-m = -b/2 - root(b*b + 4c)/2
n = -b/2 + root(b*b + 4c)/2
(x + m)(x -n) = x*x +(m - n)x - mn
(m - n ) = b
mn = c
The answer is d. because there are 35 pouches.
Fruit Punch = 10/36 = 0.277778
Lemonade = 12/36 = 0.3333
Kiwi Berry = 6/36 = 0.16667
Cherry = 8/36 = 0.222222
Since she does it 120 times, multiply each decimal by 120.
Fruit Punch = 0.277778 * 120 = 33
Lemonade = 0.3333 * 120 = 40
Kiwi Berry = 0.16667 * 120 = 20
Cherry = 0.222222 * 120 = 27
The closest answer choice is d. That's why the answer is d.
Hope this helped☺☺
Answer:
1/555 miles
Step-by-step explanation:
The question requires that we determine the speed in miles per second. From the definition of speed, it's distance covered per unit time. In this case, the distance covered is in miles and unit time is seconds.
Distance=1/3 mile
Time= 3 minutes, 5 seconds
Speed=Distance (miles) /time(s)
Converting time to seconds, we multiply by 3 minutes by 60=3*60=180 seconds
Total time=180+5=185 seconds
Substituting distance with 1/3 mile and time with 185 seconds we get speed as
Speed=0.001801802 or 1/555 miles per second