B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.
Now, notice that
That is, we can write the sum more compactly as
The series is geometric with common ratio
, so the series converges (and thereby has a sum), so the answer is D.
A perpendicular line has an opposite reciprocal slope. This means that the new line will have a slope of -4/3x. Plug in x and y into the equation y=Mx +b where m is the slope (-4/3):
-3=(-3/4)(-3) + b
and isolate b:
b-3=(-3/4)(-3)
b=(-3/4)(-3) +3
b=9/4+3
b=21/4
The final equation is y= -4/3x + 21/4
The y intercept is (21/4).
Answer:
320 calories
Step-by-step explanation:
1/4 would be 80 calories because 70 is ten less so it would be 80 = 1/4 so 80 times 4 would be 320 calories
Ok! So, given a quadratic function<span>, </span>y<span> = ax</span>2<span> + bx + c, when "a" is positive, the </span>parabola <span>opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value. Now, let's refer back to our original graph, </span>y<span> = </span><span>x2</span><span>, where "a" is 1.
Hope this helps.</span>
The correct solution: 4x^2 -27x +167 - 996/(x+6)
Step-by-step explanation:
