Answer:
She returned 5 gifts.
Step-by-step explanation:
36 gifts is 60% = 0.6 of all the gifts that she received. How many presents are 100% = 1?
36 gifts - 0.6
x gifts - 1
0.6x = 36
x = 36/0.6
x = 60
She received 60 gifts.
She opened the rest of the gifts and found that 25% of them were the same present
The rest is 60 - 36 = 24 gifts.
25% is (1/4)*24 = 6 duplicate figts
She returned all but one of the duplicate gifts.
That is, she returned 6 - 1 = 5 gifts.
question 4: the answer is 1/2
question 5: the answer is 58/79
Answer:
To create function h, function f was translated 2 units right
, translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given


Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is 
So, we have:


Next: f'(x) was translated up by 4 units
The rule of down translation is 
So, we have:


Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: 
So, we have:

![h(x) = -[(x+2)^3 + 4]](https://tex.z-dn.net/?f=h%28x%29%20%3D%20-%5B%28x%2B2%29%5E3%20%2B%204%5D)
Remove bracket

Answer:
Step-by-step explanation:
Let the number = x.
We are trying to find out what number (x) we would need to add to 7/12 to get 4/15

Subtract 7/12 from both sides.
We need to make the denominators of the fractions the same.


So,
