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erica [24]
3 years ago
5

​(4x2−2x+28​)+​(4x2+4x−55​)

Mathematics
1 answer:
Nostrana [21]3 years ago
5 0

Answer:

\boxed{ \bold{ \boxed{ \sf{8 {x}^{2}  + 2x - 27}}}}

Step-by-step explanation:

\sf{(4 {x}^{2}  - 2x + 28) + (4 {x}^{2}  + 4x - 55)}

When there is a ( + ) in front of an parentheses in an expression, there is no need to change the sign of each term in the expression. That means , the expression remains the same. Just, remove the unnecessary parentheses

\dashrightarrow{ \sf{4 {x}^{2}  - 2x + 28 + 4 {x}^{2}  + 4x - 55}}

Collect like terms and simplify

\dashrightarrow{ \sf{4 {x}^{2}  + 4 {x}^{2}  - 2x + 4x + 28 - 55}}

\dashrightarrow{ \sf{8 {x}^{2}  + 2x + 28 - 55}}

The negative and positive integers are always subtracted but possess the sign of the bigger integer.

\dashrightarrow{ \sf{8 {x}^{2}  + 2x - 27}}

Hope I helped!

Best regards! :D

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if the pool has a constant depth of 1.5 meters, what is the volume of the pool? Rounded to the nearest tenth
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Answer:

8

Step-by-step explanation:

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Helppp math find the leanghth
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Step-by-step explanation:

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3 years ago
Chas build a circular pattern for his dog The radius of the pen is 9 feet how much fencing did Chaz use for the pen
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The fencing Chaz used for the pen is 56.67 feet

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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

#SPJ4

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2 years ago
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