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Grace [21]
3 years ago
12

The function g is defined by g(x)= 3x2 - 3. Find g(3z).

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0
=3(3z)2-3
=3(9z2)-3
=27z^2-3
=3(9z^2-1)
=3(3z+1)(3z-1)
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Represent the following sentence as an algebraic expression, where ‘’ a number’’ is the letter x
spayn [35]

Answer:

n = x * 3

Step-by-step explanation:

n is your "number"

5 0
3 years ago
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Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points) Part B: Factor x2 + 8x + 16. Show your work. (3 points) Part C: Fac
skad [1K]

Answer:

Part A : y²(x + 2)(x + 4)

Part B: (x + 4) (x + 4)

Part C: (x + 4) (x - 4)

Step-by-step explanation:

Part A: Factor x²y²+ 6xy²+ 8y²

x²y²+ 6xy²+ 8y²

y² is very common across the quadratic equation , hence

= y² (x² + 6x + 8)

= (y²) (x² + 6x + 8)

= (y²) (x² + 2x +4x + 8)

= (y²) (x² + 2x)+(4x + 8)

= (y²) (x(x + 2)+ 4(x + 2))

= y²(x+2)(x+4)

Part B: Factor x² + 8x + 16

x² + 8x + 16

= x² + 4x + 4x + 16

= (x² + 4x) + (4x + 16)

= x( x + 4) + 4(x + 4)

= (x + 4) (x + 4)

Part C: Factor x² − 16

= x² − 16

= x² + 0x − 16

= x² + 4x - 4x - 16

= (x² + 4x) - (4x - 16)

= x (x + 4) - 4(x + 4)

= (x + 4) (x - 4)

6 0
3 years ago
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tia_tia [17]

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3 years ago
Work out the length of AB.
4vir4ik [10]
\frac{AB}{BC}   =   \frac{EB}{DC}

\frac{AB}{BC}   =   \frac{1.75 m}{7 m}

let AB = E

⇒                 (AB) (7 m) = (1.75 m) ( BC + AB)
                    (AB) (7 m) = (1.75 m) (1.5 m + AB)
                                      =  2.625 m²  +  (1.75 m ) (AB)
      (AB) (7 m - 1.75 m) = 2.625 m² 
                            ∴  AB =  2.625 m²  ÷  (5.25 m)
                           
<span>                   ⇒ the length of AB is 0.5 m</span>
7 0
3 years ago
Find in cm the diameter of a circle whose radius is 85 mm.
vazorg [7]
Well, you first have to convert the 85 mm to cm, which you divide it by 100, and you get 8.5 cm, then add that with itself and you get 17 cm.
6 0
3 years ago
Read 2 more answers
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