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WARRIOR [948]
3 years ago
6

How do you answer 5x+8=2x+3

Mathematics
2 answers:
Gelneren [198K]3 years ago
8 0
Solving for x
5x - 8 = 2x + 7
subtract 2x from both sides
5x - 2x - 8 = 2x - 2x + 7
3x - 8 = 7
add 8 to both sides
3x - 8 + 8 = 7 + 8
3x = 15


divide both sides by 3
3x/3 = 15/3
x = 5
Check answer by replacing x with 5 in the orginal equation
5x - 8 = 2x + 7
5(5) - 8 = 2(5) + 7
25 - 8 = 10 + 7
17 = 17
liberstina [14]3 years ago
5 0
X= -5/3 (negative five thirds)
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What is the binomial expansion of (2x – 3)^5?
Tanya [424]

Answer:

C

Step-by-step explanation:

(2x + 3)^5 = C(5,0)2x^5*3^0 +

C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5

Recall that

C(n,r) = n! / (n-r)! r!

C(5,0) = 1

C(5,1) = 5

C(5,2) = 10

C(5,3) = 10

C(5,4) = 5

C(5,5) = 1

= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5

= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243

= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243

= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243

7 0
3 years ago
Read 2 more answers
The length of a rectangle is 17 m and the width is 12 m what is the perimeter of the rectangle
lbvjy [14]

Answer:

<h2>The answer is 58 m</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

length = 17 m

width = 12 m

Substitute the values into the above formula and solve for the perimeter

We have

Perimeter = 2(17) + 2(12)

= 34 + 24

We have the final answer as

<h3>58 m</h3>

Hope this helps you

5 0
2 years ago
I need help with #18,20,22 and 24. Please show your work and I'm really thankful for your help as soon as possible!
Artist 52 [7]
I'll start 18 and 22 for you, and you should then be able to do the rest on your own!

For 18, what we literally do is apply the distance formula for all the points and add them up. For B to C, we get the distance between them to be
sqrt((x1-x2)^2+(y1-y2)^2)=sqrt((0-4)^2+(3-(-1))^2)=sqrt((-4)^2+4^2)=sqrt(16+16)=sqrt(32). Repeat the process for C to E, E and F, and F to B then add the results up to get your answer!

For 22, since the area of a rectangle is length*width (we know given the right angles and that the opposite sides are equal in how long they are), we can multiply 2 perpendicular lines, for example, BC and CE to get sqrt(32)*sqrt(8)=16 as the area
4 0
3 years ago
1.75x+1.25y=2<br> 7x+5y=9<br> how many solutions does this system of equations have?
Vlad1618 [11]

Answer:

true 7x+5y=9

Step-by-step explanation:

7 0
3 years ago
Given the sequence -2,-8/3,-10/3,-4,-14/3 find the recursive formula
balu736 [363]

Step-by-step explanation:

-2, -8/3, -10/3, -4, -14/3

Write as multiples of 1/3.

-6/3, -8/3, -10/3, -12/3, -14/3

This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.

Therefore, the recursive formula is:

aᵢ₊₁ = aᵢ − 2/3, a₁ = -2

3 0
3 years ago
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