Answer:
1 1/2 or 1.5
Step-by-step explanation:
think: half of 4 is 2 so 1 half cup would make it to 2/4
than half of that is 1/4 which is 1/2 of 1/2 a cup
adding that to 2/4 makes it 3/4 so therefore... (Peep the answer)
The next step is to solve the recurrence, but let's back up a bit. You should have found that the ODE in terms of the power series expansion for


which indeed gives the recurrence you found,

but in order to get anywhere with this, you need at least three initial conditions. The constant term tells you that

, and substituting this into the recurrence, you find that

for all

.
Next, the linear term tells you that

, or

.
Now, if

is the first term in the sequence, then by the recurrence you have



and so on, such that

for all

.
Finally, the quadratic term gives

, or

. Then by the recurrence,




and so on, such that

for all

.
Now, the solution was proposed to be

so the general solution would be


Answer:
Step-by-step explanation:
It does not look like any of these answers are correct (A, B, C, or D). The correct answer would be 16 because it is going up by 4 in this sequence
Answer:
k(x) = -|x + 2| + 3
Step-by-step explanation:
Parent function of the absolute function given in the graph,
f(x) = |x|
1). Function 'g' is reflected across the x-axis, then the image will be,
h(x) = -f(x) = -|x|
2). Function 'h' the shifted 2 units left and 3 units upwards, image function will be,
k(x) = h(x + 2) + 3
k(x) = -|x + 2| + 3
Therefore, the transformed function is k(x) = -|x + 2| + 3.
Answer:
Students altogether liked cola the best 26
Step-by-step explanation:
Total no of pupils = 60
Boys = 32
girls = 28
we will make a table
Gender cola milk water total
Boys 12 4 32
Girls 9 28
we can find the missing numbers
Let x be for milk
In boys 12 + x + 4 = 32
x = 16
In girls
as 21 liked milk altogether
so girls = 21 - 16 = 5
Gender cola milk water total
Boys 12 16 4 32
Girls 5 9 28
For cola let y
in girls
y + 5 + 9 = 28
y = 14
Gender cola milk water total
Boys 12 16 4 32
Girls 14 5 9 28
Altogether cola = 14 + 12 = 26