Answer:
The y-intercept of the line that passes through the point (3, -6) and which has a slope of 4 is -18.
Step-by-step explanation:
We represent the straight line by using this formula from Analytical Geometry:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
Now we clear the y-intercept:
If we know that 
, 
and 
, the y-intercept of the line is:
The y-intercept of the line that passes through the point (3, -6) and which has a slope of 4 is -18.
The square root of 78 is Irrational
The translation of a function f(x) can be described as:
f(x)->f(x-h)+k
when the functions has been translated h units to the right, and k units up.
Compare with
sqrt(x)->sqrt(x-1)+0
we see that h=1, k=0.
Thus it is a horizontal translation of 1 unit to the right. (zero unit up).
Step-by-step explanation:
it seems we are dealing with subtraction, as the differences between the 1st and second, and between the 2nd and 3rd numbers are equal : -7
so, we can assume that the sequence is created by always subtracting 7.
a1 = 352
a2 = a1 - 7 = 352 - 7 = 345
a3 = a2 - 7 = a1 - 7 - 7 = 352 - 7 - 7 = 338
an = an-1 - 7 = a1 - 7(n-1) = 352 - 7(n-1)
a43 = 352 - 7(43-1) = 352 - 7×42 = 352 - 294 = 58
