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4 years ago

Does the following infinite series converge or diverge? explain your answer. 7+28+112+448+...

2 answers:

8 0

Infinite series can either be convergent or divergent. It is convergent if the series has a limit and would approach a certain real number. It is divergent if it has no limits.

The given above is a series that is comprised of whole numbers and can go as large as the positive infinity. Because of this, the answer to this item is Divergent.

Tom [10]4 years ago

3 0

To determine whether the series converges or diverges, we will need to get the value of r.
If r is greater than 1, then the series converges
If r is less than 1, then the series diverges

In the given series:
r = 28/7 = 112/28 = 448/112 = 4

Based on the above, this series converges

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dedylja [7]

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3 years ago

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11. What is the location of the vertex of the parabola defined by f(x) = −3x2 − 18x − 35 and in what direction does the parabola

lbvjy [14]

11. The given parabola has equation: $f(x)=-3x^2-18x-35$

We complete the square to have the function in the vertex form: $f(x)=-3(x^2+6x)-35$

$f(x)=-3(x^2+6x+9)+3*9-35$

$f(x)=-3(x^2+6x+9)+27-35$

$f(x)=-3(x+3)^2-8$

The vertex is (-3,-8), the graph opens down because a=-3<0

Ans: B. Vertex: (−3, −8), opens downward

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A straight line that has its y-intercept below the x-axis (y=3x-6) will not intersect $y=x^2$ and hence will form a system with no solution.

Ans: D. y equals x squared, y equals 3x minus 6

14. We want to find the zeros of $x^2+21x=5x-63$

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$x^2+16x+63=0$

The factored form is $(x+7)(x+9)=0$

$x=-7\:or\: x=-9$

Ans: C. x = −7, −9

15. The given quadratic expression is $6x^2-17x+10$

We split the middle term to obtain:

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3 years ago

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HELLPPP <br> I need help asappp

sattari [20]

Answer:

(8,5)

Step-by-step explanation:

x=8

5*8-2y=30

40-2y=30 . subtract 40 from both sides

-2y=-10 . divide both sides by-2

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3 years ago

Carly's age is more than twice his sisters age, s. Which of the following expressions represents Carly's age? (A) 2s + 3 (B) 3s

Ilya [14]

I would say A.

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5 0

3 years ago

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The cost of five books is $36.25. What is the unit price?

zimovet [89]

Step-by-step explanation:

Cost of 5 books = $ 36.25

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The unit price is $ 7.25

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3 years ago