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Nataly [62]
3 years ago
10

Show work for answer please​

Mathematics
1 answer:
Ghella [55]3 years ago
8 0

Answer:

x = - 3

Step-by-step explanation:

Given

7 + x - 3 = x - 5 - 3x ( simplify both sides )

4 + x = - 2x - 5 ( add 2x to both sides )

4 + 3x = - 5 ( subtract 4 from both sides )

3x = - 9 ( divide both sides by 3 )

x = - 3

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Consider the following series. 1 9 1 18 1 27 1 36 1 45 Determine whether the series is convergent or divergent. Justify your ans
Vedmedyk [2.9K]

Answer:

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

Step-by-step explanation:

<u>Convergence of Infinite Series</u>

The series is given as the terms

1 , 9 , 1 , 18 , 27 , 1 , 36 , 1 , 45 ...

For a series to be convergent, the limit of the general term an when n goes to infinity must be 0. In such cases, the sum of all terms tends to a fixed value.

Our series has two clearly different sequences, which define it as a piecewise general term:

If n is odd, then

a_n=1

Otherwise, an is an arithmetic series starting from 9 with a common difference of 9, that is

a_n=9+9(n/2-1)=4.5n

if n is even.

If we take the limit as n goes to infinity, we don't know which one should be selected, thus we must assume that any of them is a correct option, therefore both of them should converge.

The limit of the function

a_n=1

is 1 when n goes to infinity. Since it's not 0, this piece is not convergent and the entire series isn't either.

But it goes worse because of the limit of the second piece

a_n=4.5n

when n goes to infinity is infinite.

The answer is

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

8 0
3 years ago
The length of a rectangle is 1 less than twice the width. The area of the rectangle is 28 square feet. The equation 2w²-w-28 , w
dybincka [34]
The answer should be B
4 0
3 years ago
Read 2 more answers
PLEASE HELPP MEE ASAPP!!
WARRIOR [948]

Answer:

Step-by-step explanation:

each zero of the function will have a factor of (x - x₀)

h(x) = a(x + 3)(x + 2)(x - 1)

h(x) = a(x + 3)(x² + x - 2)

h(x) = a(x³ + 4x² + x - 6)

or the third option works if a = 1

however this equation gives us the points (0, -6) and (-1. -4), so "a" must be -2

h(x) = -2x³ - 8x² - 2x + 12

to fit ALL of the given points as it fits the three zeros and also h(0) and h(-1) so I guess that is why the given group is a <u><em>partial</em></u> set of solution sets

7 0
3 years ago
Turn 10+ negative 3 3/8 into a single rational number
natta225 [31]

Answer:

the answer for this question is

10-1.125=71/8 or 8.875

= 9

3 0
3 years ago
To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. T
VARVARA [1.3K]

Answer:

(D)56.4

Step-by-step explanation:

According to the question, Let AB=10, AC=12 and m∠B=90°.

Thus, from ΔABC, using trigonometry, we have

\frac{AB}{AC}=sinx

\frac{10}{12}=sinx

\frac{5}{6}=sinx

sinx=0.83

x=sin^{-1}(0.83)

x=56.4

Therefore, at x=56.4 the wire meet the ground.

8 0
3 years ago
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