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3 years ago

The sum of two consecutive even integers is 18. Write an equation to find the integers.

1 answer:

7 0

Answer: 8 and 10 Step-by-step explanation: Consecutive means right beside. For example, the consecutive of 4 is 5 and 3. Since it's asking for EVEN integers, you need to add 2 to the x... for example, the nearest consecutive even number to 4 is 6 (you add 2). Then, solve like normal!

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Step-by-step explanation:

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How do you divide decimals?

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Differentiation. questions 1 and 2

drek231 [11]

For 11, we start by plugging 1 in, getting 2(1)^2+1-5=-2=y

Plugging 1+m instead, we get 2(1+m)^2+1+m-5=2(1+2m+m^2)+1+m-5
= 2+4m+2m^2+1+m-5= 2m^2+5m-2. We have to find the difference between that and -2, so 2m^2+5m-2 -(-2)=2m^2+5m

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3 years ago

Simplify the expression below. Then classify the resulting expression

evablogger [386]

Answer:

Simplified = 5

Classification = Monomial

Step-by-step explanation:

<h2>PART I: Simplify the expression</h2>

<u>Given expression:</u>

3x² + 6x + 5 - 3x (2 + x)

<u>Expand parenthesis by distributive property:</u>

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

<u>Put like terms together:</u>

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

= $\boxed{5}$

<h2>PART II: Classify polynomial</h2>

<u>Concept:</u>

Polynomial is classified by the number of terms a polynomial has.

Monomial: a polynomial with only one term
Binomial: a polynomial with two terms
...

<u>Classify the given expression:</u>

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a <u>monomial</u>.

Hope this helps!! :)

Please let me know if you have any questions

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2 years ago

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The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distan

OleMash [197]

Answer:

$S_g= 33.333cm$

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

$S_g=\frac{a(1-r^n)}{1-r}$

Mathematically solving for total distance traveled we have

$S_g=\frac{30(1-(0.10^5)}{1-(0.10)}$

$S_g=\frac{30}{0.9}$

Therefore the total distance traveled by the pendulum after 5 swings

$S_g= 33.333cm$

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3 years ago