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viva [34]
3 years ago
6

Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia

l sum of the series, as a quadratic function, where x represents the term number.
Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0

Answer: 3x2 + 51x

Step-by-step explanation:

omeli [17]3 years ago
5 0
a_n=48+3(2n-1)

The formula of the sum of the arithmetic sequence:
S_n=\dfrac{a_1+a__n}{2}\cdot n
calculate:
a_1=48+3(2\cdot1-1)=48+3=51
substitute
S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n
Your answer is:
\boxed{f(x)=3x^2+48x}

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What is the solution of the inequality 9 - x^2<0?
Dmitry_Shevchenko [17]

Answer:

x < -3\quad \mathrm{or}\quad \:x > 3

Step-by-step explanation:

Given:

9-x^2 < \:0

Solve:

\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}

9-x^2-9 < 0-9

\mathrm{Simplify}

-x^2 < -9

Multiply\:both\:sides\:by\:-1\:

\left(-x^2\right)\left(-1\right) > \left(-9\right)\left(-1\right)

\mathrm{Simplify}

x^2 > 9

\mathrm{For\:}u^n\: > \:a\mathrm{,\:if\:}n\:\mathrm{is\:even}\mathrm{\:then\:}u\: < \:-\sqrt[n]{a}\:or\:u\: > \:\sqrt[n]{a}

x < -\sqrt{9}\quad \mathrm{or}\quad \:x > \sqrt{9}

\sqrt{9}=3

x < -3\quad \mathrm{or}\quad \:x > 3

<u><em>~lenvy~</em></u>

5 0
2 years ago
Which statement best explains whether △ABC is similar to △DEF?
Elena L [17]

The statement which best describes the similarity of the two triangles is; Choice D; There is not enough information to determine whether the triangles are similar.

<h3>Which statement best explains whether △ABC is similar to △DEF?</h3>

The two triangles given in the task content are expected to be assessed to determine if they are similar.

From the concept of congruence in triangles, two triangles are congruent only if all 3 angle measures in one are similar to that in the other, or if the ratio of all corresponding pairs of sides are equal.

Hence, since neither of the conditions is satisfied by the information given, it follows that Choice D is correct.

Read more on congruent triangles;

brainly.com/question/1675117

#SPJ1

8 0
2 years ago
Pls help I’m been stuck
ziro4ka [17]

Answer:

ANSWER: ADC=82

bda = 144

(7x+34)+(9x+46)=144

16x+80=144

16x=64

x=4

9(4)+46=82

adc=82

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Fedex typically deleviers 2,400 packages per day and uses 75 trucks for delivery. If the number of trucks used per day is propor
irina1246 [14]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
2x(9-5x) - (-4x-36x)
allochka39001 [22]
I got 48x
First by distributing 2x to 9-5x=
18x-10x
Then adding a 1 in front of - making -4x-36x to 4x+36x=40x
8x+40x=48x
7 0
3 years ago
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