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Y_Kistochka [10]
3 years ago
13

Which graph show the solution to the following inequality

Mathematics
2 answers:
vivado [14]3 years ago
6 0

Answer: The second graph, counting from the top.

Step-by-step explanation:

We have inequality:

-2r + 3 ≥ 19

We can isolate r in this inequality, and get:

-2r ≥ 19 - 3 = 16

-r ≥ 16/2 = 8

Now we change the sign, this also changes the direction of the greater or equal than a sign:

r ≤ -8

So we will have that our graph must start at r = -8, and include all the numbers that are smaller than -8. (including the 8)

This graph is the second one.

Leto [7]3 years ago
4 0
-2r+3≥19
-2r≥16
r≤-8
second one
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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

#SPJ4

6 0
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