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3 years ago

50 POINTS What are the values of a1 and r of the geometric series? 2 – 2 + 2 – 2 + 2

Mathematics

2 answers:

torisob [31]3 years ago

8 0

Answer:

a1=2 and r=-1

Explanation:

"A geometric series is a series with a constant ratio between successive terms".

Here, we can observe that the first term 'a' is '2'.

And the common ratio 'r' =

Therefore, the first term 'a' is 2 and common ratio 'r' is '-1'.

Colt1911 [192]3 years ago

7 0

Answer:

First term, a, is 2. Next term, -2, is the product of 2 and -1 and is -2. Next term, 2, is the product of -2 and -1. Thus, the first term, a, is 2 and the common ratio, r, is -1

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Answer:

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2 years ago

a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.

Radda [10]

Answer:

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

$x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}$

$x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}$

$x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}$

$x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};$

$x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005$

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

$(-714.005)^2+700(-714.005)-10000=-0.360$

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

$(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725$

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1 year ago

which graph represents a hyperbola centered at the origin, with a transverse axis of length 6 and a focus at (square root 14,0)

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

2,8,18,32,50,72 which term is the sequence is 512?

docker41 [41]

Answer:

Step-by-step explanation:

2+6=8

8+10=18

18+14=32

6+4=10 10+4=14

an+1=an+(2+4n)

a7=a6+26=72+26=98

a8= a7+30= 98+30=128

a9=a8+34=128+34= 162

a10=a9+38= 162+38=200

a11=a10+42= 242

a12=242+46=288

a13=288+50= 338

a14=338+54= 392

a15=392+58= 450

a16= 450+62=512

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3 years ago

What are the x and y-intercepts of the line described by the equation? 3x−9y=10.8

zheka24 [161]

Answer:

y intercept = (0,-1.2)

x intercept = (3.6,0)

Step-by-step explanation:

For y-int, x=0

3(0)-9(y)=10.8

9y=-10.8

y= -1.2

For x-int, y =0

3x - 9(0)=10.8

3x=10.8

x=3.6

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2 years ago