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3 years ago

(4x^5 + 3x^2 – x^4) +(6x^2 - 2x^5)

Mathematics

2 answers:

Monica [59]3 years ago

5 0

Answer:

The simplified equation is as follows 2x^5 -x^4 + 9x^2

Step-by-step explanation:

Remove the parentheses around each equation and pair like exponents together

4x^5 - 2x^5 - x^4 + 3x^2 + 6x^2

Then combine the like terms

2x^5 - x^4 + 9x^2

It is in that order due to the proper form being to go from the highest to lowest exponents in an answer

lidiya [134]3 years ago

5 0

2x^5 - x^4 + 9x^2

Step-by-step explanation:

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Can somebody help me on 23 and 24, it’s geometry

Luda [366]

Question 23:

x = 4

DE = 44

Question 24:

x = 25

SE = 28

Step-by-step explanation:

As RS is the perpendicular bisector of DE, it will divide DE in two equal parts DS and SE

<u>Question number 23:</u>

Given

DS = 3x+10

SE = 6x-2

As the two segments are equal:

$DS = SE\\3x+10 = 6x-2$

Subtracting 10 from both sides

$3x+10-10 = 6x-2-10\\3x = 6x-12$

subtracting 6x from both sides

$3x -6x = 6x-6x-12\\-3x = -12$

Dividing both sides by -3

$\frac{-3x}{-3} = \frac{-12}{-3}\\x = 4$

Now

$DS = 3x+10\\= 3(4)+10\\= 12+10\\=22$

And

$SE = 6x-2\\= 6(4)-2\\= 24 - 2\\=22\\DE = DS+SE\\= 22+22\\=44$

<u>Question No 24:</u>

Given

DS = x+3

DE = 56

We know that:

$DS = \frac{1}{2}DE\\x+3 = \frac{56}{2}\\x + 3 = 28\\x = 28-3\\x = 25$

DS = $25+3 = 28$

As DS is 28, SE will also be 28

Hence,

Question 23:

x = 4

DE = 44

Question 24:

x = 25

SE = 28

Keywords: Bisector, Line segment

Learn more about line segments at:

#LearnwithBrainly

4 0

3 years ago

You have a rack that can hold 30 CDs. You can fit 7 more CDs on the rack before the rack is full. How many CDs are in the rack?

uysha [10]

X = number of cds on the rack

x + 7 = 30
x = 30 - 7
x = 23 <== so there are currently 23 cds on the rack

5 0

3 years ago

Read 2 more answers

2x2-y if x=3 and y=8

9966 [12]

The answer is 0 because when you plug in the 3 and the 8 into the equation and do order of operations you will get 0.

8 0

3 years ago

Find the generating function for the sequence 1,1,1,2,3,4,5,6,....

marin [14]

Answer:

$P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1$ [/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

$1,1,1,2,3,4,5,6,...$

the generating function would be

$P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\$

we can multiply P(x) by x to get

$xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...$

Note that

$P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\ \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)$

which for $\mid x \mid < 1$ can be rewritten as

$(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}$

8 0

3 years ago

A rectangle has an area of 104 cm ^2 and a width that measures 8 cm. Find the perimeter of the rectangle.

Dmitry_Shevchenko [17]

Perimeter is 42
~~~~~~~~~~~~~~~~~~~~~~~~~

7 0

3 years ago