Answer:
0.5 onces
Step-by-step explanation:
Answer: 7x-y=10
Step-by-step explanation:
The parent function
passes through the point
, since 
Your function passes through the point
, which means that the parent function has been translated 3 units up.
To translate a function vertically, you have to add a constant, i.e. you have to transform 
k is the amount of units you want to translate: positive if you translate upwards, negative if you translate downwards.
In your case, you move 3 units upwards, so you want k=3 and your function is

Answer:
Complementary angles are two angles that have a sum of 90°.
Supplementary angles are two angles that have a sum of 180°.
A ABC BCD SUPP 90+90=180
B BCA ACD COMPL 45+45=90
C BCA CDA NEITHER 45+90=135
D ABC CDA SUPP 90+90=180
E BAC CAD COMPL 45+45=90
Step-by-step explanation:
Answer:
y = 
Step-by-step explanation:
Let the total numbers are n.
If the average of y numbers is x then we can form an equation

⇒ 
⇒ n =
--------(1)
Now 30 is added to the set of numbers then average becomes (x - 5)

⇒ 
⇒ (n + 1) = 
⇒ n =
- 1 ----- (2)
Now we equate the values of n from equation 1 and 2
=
- 1
y(x - 5) = x(y + 30) - x(x - 5) [ By cross multiplication ]
xy - 5y = xy + 30x - x² + 5x
xy - xy - 5y = 35x - x²
-5y = 35x - x²
x² - 35x = 5y
y = 