Answer:
Yes
Step-by-step explanation:
To check proportionality :
35 α 1000
35 = 1000k
k = constant of proportionality ;
Divide both sides by 1000 to obtain k
35 / 1000 = 1000k / 1000
0.035 = k
For the ratio Given :
Ratio of 7 parts of salt and 200 parts of water
7 : 200
7 / 200
= 0.035
Since,
k = 0.035 ; 7 / 200 = 0.035
Hence, a proportional relationship exists.
Answer:
20 + 4y
Step-by-step explanation:
The 4 multiplies the 5 and the y, i.e., it distributes over the terms of the expression in ( ).
Answer:
Answers are in bold type
Step-by-step explanation:
f(x) = 
The parabola opens up, so has a minimum at the vertex.
Let (h, k) be the vertex
h = -b/2a = - (-144)/2(1) = 57
k = 57^2 - 144(57) = 3249 - 6498 = -3249
Therefore, the vertex is (57, -3249)
The minimum value is -3249
The domain is the set of real numbers.
The range = {y | y ≥ -3249}
The function decreases when -∞ < x < 57 and increases when 57 > x > ∞
The x - intercepts:
= 0
x(x - 114x) = 0
x = 0 or x = 114
x-intercepts are (0, 0) and (0, 114)
When x = 0, then we get the y-intercept. So, 0^2 - 114(0) = 0
y-intercept is (0, 0)
Answer:

Step-by-step explanation:
Start with:

Combine like terms:
