Answer:
y = 6
x = 200
Quick Explanation:
The horizontal arrowed line labeled <em>t</em> would be the <em>y </em>axis, and according to the dot on the graph, it's on the 6. The vertical arrowed line labeled <em>h </em>would be the <em>x </em>axis, and the dot tells you the number is 200. Easy peasy, just remember the <em>x </em>axis is vertical and the <em>y</em> axis is horizontal and it'll help you find the location of any dot.
4 x’s for 1/4
2 x’s for 2/4
1 x for 3/4
2 x’s for 1
a. Recall that

For
, we have

By integrating both sides, we get

If
, then

so that

We can shift the index to simplify the sum slightly.

b. The power series for
can be obtained simply by multiplying both sides of the series above by
.

c. We have


I had the same question on my hw and I picked c \(“-)/
Answer:
k = 4, y = 4x
Step-by-step explanation:
From the question, we get the ratio of :
x : y = 1 : 4
Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.
In the question, the two variables are :
x = glasses of lemonade
y = lemons used
From the question, the ratio of y is to x is given by :
y : x is 24 : 6 = 4 : 1 or 24/6 = 4
32 : 8 = 4 : 1 or 32/8 = 4
28 : 7 = 4 : 1 or 28/7 = 4
8 : 2 = 4 : 1 or 8/2 = 4
16 : 4 = 4 : 1 or 16/4 = 4
So here the constant is 4 . Therefore, the constant of proportionality, k is 4.
So we can write the equation as :
y = kx
or y = 4x