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Allushta [10]
2 years ago
15

HELP DUE SOON EMERGENCY

Mathematics
1 answer:
algol [13]2 years ago
5 0

Answer:

The sum of the series is 44.

Step-by-step explanation:

Sigma notation. I just had a test on this, so this is pretty good timing.

Below the sigma, we see that k = 1. This means that 1 is the number you would substitute for k into the expression on the right to get the first term. In this case, the first term is -2. (2(1)² - 4)

Now, we can also find out the number of terms in the series by subtracting 1 (taken from k = 1) from the number on top of the sigma, 4, and then adding 1 to it.

4 - 1 + 1 = 4. This means there are 4 terms in the series.

See the remaining work in the attached file. You should get that the sum of the series is 44.

Hope this helps!

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Answer:

The midpoint is (-1,-1)

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Step-by-step explanation:

The x coordinate of the midpoint is

(-4+2)/2 = -2/2 = -1

The y coordinate of the midpoint is

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Fed [463]

Answer:

when x = -1,  y = -3

when x = -1,  y = -1

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Step-by-step explanation:

x = -1;  plug in y = 2(-1) - 1 = -2 - 1 = -3

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Graph the linear inequality: 2x + 3y = 12, by creating a t-chart to plot the points. Shade by
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Answer:

See explanation

Step-by-step explanation:

Assuming the given inequality is 2x+3y\le12

Then the corresponding linear equation is 2x+3y=12

When x=0, we have  2*0+3y=12

\implies 3y=12\implies y=4

When y=0, we have  2x+3*0=12

\implies 2x=12\implies x=6

The T-table is:

<u>x   |   y</u>

0   |   4

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We plot this points and draw a solid straight line as shown in the attachment.

Now let us test the origin: (0,0) by plugging x=0 and y=0 into the inequality.

2*0+3*0\le12

0\le12....This is true so we shade the lower half plane as shown in the attachment.

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