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djyliett [7]
3 years ago
6

R . . V w l U i. a v w. v . Una It 3 A 1-

Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0
7x^2 + 21 = 0\\\\7x^2 = -21\\\\x^2 = -\frac{21}{7}\\\\x^2 = -3\\\\x = \sqrt{-3}\\\\\boxed{\bf{x = i\sqrt{3}}}\\\\\boxed{\bf{x=-i\sqrt{3}}}
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200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

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6 0
2 years ago
Here's a graph of a linear function. Write the
madam [21]

The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\

As we can see in the graph the line goes from (-6, 0) and (0, 3)

Finding the slope:

\rm m =\dfrac{3-0}{0-(-6)}\\

m = 3/6 = 1/2

y = mx + c

y = (1/2)x + c

c is the y-intercept

c = 3

The equation:

y = (1/2)x + 3

Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

Learn more about the straight line here:

brainly.com/question/3493733

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5 0
2 years ago
Round this number to the tens place 645.56
arlik [135]

Answer:

650.56 or just 650

Step-by-step explanation:

8 0
3 years ago
I WILL GIVE BRAINLEST
Elan Coil [88]

Step-by-step explanation:

( 0,-4) that the answer

8 0
3 years ago
Someone must have beaten me here. Devora thinks, dismayed by the empty treasure chest. Then, just as she's about to close the li
LiRa [457]

use your brain dummy

Step-by-step explanation:

4 0
3 years ago
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