Given the points (–1,3) and (2,–3), what's the slope of the line?
1 answer:
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Answer:
C. 4 times x squared plus 6 times x minus 3 minus 12 over the quantity 2 times x plus 1
Step-by-step explanation:
f(x) = 8x^3 + 16x^2 − 15
g(x) = 2x + 1.
f(x) / g(x) = (8x^3 + 16x^2 − 15) / (2x + 1)
Using long division
Answer:
Step-by-step explanation:
We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: , where m= Slope of the line, b= y-intercept.
To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.
We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).
Let us substitute coordinates of our both given points in slope formula: ,
Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.
Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,
Therefore, our desired equation will be .
Answer:
The explicit formula for the given expression is .
Step-by-step explanation:
The given sequence is
-7, -4, -1, 2, 5
The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.
The first term of the given AP is -7 and the common difference is
The explicit formula for an AP is
Where, a is first term, d is common difference and n is number of terms.
Substitute a=-7 and d=3 in the above equation.
Therefore the explicit formula for the given expression is .