Which equation has a slope of 3 and a y intercept of 4?
2 answers:
The general equation in slope intercept form is given by:
where m is the slope and b is the y intercept.
Now we are given slope as 3 and y intercept as 4, plugging these values in the slope intercept form, we get
Now if we compare the two equations, we see that option (b) y=3x+4 matches our requirement.
So answer is the equation with slope 3 and y intercept 4 is y=3x+4.
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Answer:
The interpolating polynomial is .
Step-by-step explanation:
We want to find a quadratic polynomial such that
,
and
. In order to do this let us write
.
Now, evaluating the polynomial in the points -1, 1 and 2 we get
This relations give us a linear system of equations:
where the ,
and
are the unknowns.
The augmented matrix of the system is
In this matrix it is easy to eliminate the 1's of the first column and get
From this matrix we can find the values of each unknown. Notice that the second row gives us that yields
.
Then, the third row means that gives
. So,
.
Finally, the first row is and substituting is
that yields
.
Therefore, the interpolating polynomial is
.
Answer:
3, 8, 14, 30, 58
Step-by-step explanation:
As with all formulas, put the numbers in place of the corresponding variables, and do the arithmetic.
The first 5 terms of the sequence are 3, 8, 14, 30, 58.