Answer:
X = -4 and Y = 1 (sorry if wrong im only in 6th grade ;(
Step-by-step explanation:
X - 7Y = -11 ......(i)
5X + 2Y = -18 ........(ii)
multiply equation (i) by 5 we get 5X - 35Y = -55 ....(iii)
subtract equation (ii) from (iii)
we get -37Y = -37 ⇒ Y = 1
now put the value of Y from above in equation (i)
we get X = -4
Answer:
Here we just want to find the Taylor series for f(x) = ln(x), centered at the value of a (which we do not know).
Remember that the general Taylor expansion is:

for our function we have:
f'(x) = 1/x
f''(x) = -1/x^2
f'''(x) = (1/2)*(1/x^3)
this is enough, now just let's write the series:

This is the Taylor series to 3rd degree, you just need to change the value of a for the required value.
Answer:
1. 2
2. 25
3. 1/3
I'm in 8th grade so not 100% sure about these
I'm gonna try the rest
But this is what I got so far!
Answer + Explanation:
let x be the measure of angle x
let y be the measure of angle y

Now, solve:
plug x = 24 + y into x + y = 180
24 + y + y = 180
24 + 2y = 180
2y = 156
y = 78
Now, plug this back into the equation x = 24 + 78
x = 102