Answer:

Step-by-step explanation:

Answer:Jenny has 15 favorite toys
Step-by-step explanation:
Jenny has 3 times as many new toys as she has favorite toys means that the ratio of new toys to favorite toys can be written as 3:1
Total Ratio=3+1=4
Since the total number of toys is given as 60
Amount of Favorite toys = ratio of favorite toys / Total ratio x Total number of toys
Amount of Favorite toys = 1/4 x 60=15
Therefore Jenny has 15 favorite toys.
Answer:
We know that Amber decided to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, and after this, the function representing the photo shares is:
f(x) = 3*(4)^x + 45
We do not know the initial function, but with the given information we can assume that the original equation is:
g(x) = 3*(4)^x
Then the new function is:
f(x) = g(x) + 45.
This is a vertical translation, remember that for a function h(x), a vertical translation of N units is written as:
k(x) = h(x) + N
if N is positive, we have a translation of N units up
if N is negative, we have a translation of N units down.
in this case we have;
f(x) = g(x) + 45
This means that f(x) is a vertical translation of 45 units of g(x), then:
the graph of the new function is 45 units above the original function.
Answer:
C) It is not possible. He needs to lose at least 5 lbs a week
Step-by-step explanation:
This would not be possible. To know, you have to plug 10 into the function:
-4(10) + 250 = 210
After getting this value, ou have to take it away from 250:
250 - 240 = 40 → This 40 represents the value for the amount of pounds lost
40 is less than 50, so he would have to lose more than 4 pounds a week
To see if losing 5 pounds is enough, replace the -4 from the function with a -5:
-4x + 250 = 210 → -5x + 250 = 210
From here plug in 10 just like the previous time:
-5(10) + 250 = 200
From here take 200 away from 250 to find the pounds lost in 10 weeks:
250 - 200 = 50
50 is equal to the goal of 50 pounds, so therefore, Luke needs to lose at 5 pounds a week
B) lograrithmic
this is obvious since it is increasing at decreasing rate