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andrew-mc [135]
3 years ago
7

Which model represent the factors of 4x^2-9

Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

Answer:

(2x - 3)(2x + 3)

Step-by-step explanation:

Given

4x² - 9

This is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

4x² = (2x)² ⇒ a = 2x

9 = 3² ⇒ b = 3, thus

4x² - 9 = (2x - 3)(2x + 3) ← in factored form

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What is the solution to the following system? 4x+3y-z=-6 6x-y+3z=12 8x+2y+4z=6
andrew-mc [135]

Answer:

Option B is correct.

Step-by-step explanation:

4x+3y-z= -6     eq(1)

6x-y+3z= 12     eq(2)

8x+2y+4z=6    eq(3)

We need to solve these equations and find the value of x, y and z.

Multiply equation 2 with 3 and then add equation 1 and 2

18x -3y +9z = 36

4x +3y -z = -6

_____________

22x + 8z = 30    eq(3)

Multiply equation 2 with 2 and add with equation 3

12x -2y + 6z = 24

8x +2y +4z = 6

____________

20x + 10 z = 30  eq(4)

Multiply equation 3 with 10 and equation 4 with 8 and then subtract

220x + 80z = 300

160x + 80z = 240

-        -            -

_________________

60x = 60

x= 60/60

x= 1

Putting value of x in equation 3

22x + 8z = 30

22(1) + 8z = 30

8z = 30 - 22

8z = 8

z = 8/8

z=1

Putting value of x and z in equation 1

4(1)+3y-(1)=-6

4 + 3y -1 = -6

3 + 3y = -6

3y = -6 -3

3y = -9

y = -3

so, Option B x=1, y=3 and z=1 is correct

8 0
3 years ago
Read 2 more answers
What is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n?
Lilit [14]
If you would like to know the solution to the equation, you can calculate this using the following steps:

4/5n - 3/5 = 1/5n     /*5n
4 - 3/5 * 5n = 1
4 - 3n = 1
4 - 1 = 3n
3 = 3n
n = 1

The correct result would be n = 1.
7 0
3 years ago
What is r<img src="https://tex.z-dn.net/?f=%20V%3D%5Cpi%20%20r%5E%7B2%7D%20h" id="TexFormula1" title=" V=\pi r^{2} h" alt=" V=\
artcher [175]
\bf V=\pi r^2 h\implies \cfrac{V}{\pi h}=r^2\implies \sqrt{\cfrac{V}{\pi h}}=r
7 0
3 years ago
What shape can be classified as a rectangle
Dahasolnce [82]

Answer:

square

Step-by-step explanation:

5 0
3 years ago
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X- 8 TRANTLATE ALGEBRAIC EXPRESSION
n200080 [17]

Answer:

x 8 Putting it all together: (x 2 )4 = (x 2 )( ... zwj;x‍x‍x‍x‍x = x 8 Note that (x 2 )4 = x 8 , and that 2 × 4 = 8. This demonstrates the second exponent

Step-by-step explanation:

5 0
3 years ago
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