Answer:
336 blue marbles
Step-by-step explanation:
694= x+3x+3x-90
694=7x-90
784=7x
x=112
3x=336
3x-90=246
Answer:
Plot at (8,2)
Step-by-step explanation:
X equals 23! So it’s one solution
Answer:
<em>( - 1 , - 4 ) </em>
Step-by-step explanation:
y = 3x - 1
y = x - 3
3x - 1 = x - 3 ⇒ <u><em>x = - 1</em></u>
y = 3( - 1 ) - 1 = - 4
<u><em>y = - 4</em></u>
<em>( - 1 , - 4 )</em>
Answer:
Part A: 3x²(x⁸ - 16)
Part B: 3x²(x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
Step-by-step explanation:
Part A. Factor out the greatest common factor
3x¹⁰ - 48 x²
= 3x²(x⁸ - 16)
Part B. Factor the expression completely
(i) Factor the difference of squares
x⁸ - 16
= (x⁴ - 4)(x⁴ + 4)
= (x² - 2)(x² + 2)(x⁴ + 4)
3x¹⁰ - 48 x² = 3x²(x² - 2)(x² + 2)(x⁴ + 4)
(ii) Factor the sum of squares
Use the Sophie Germain Identity to factor x⁴ + 4.
x⁴ + 4
= (x²)² + 2² (Still a sum of squares)
= (x² + 2)² - 4x² (Factor this as a difference of squares)
= (x² + 2 - 2x)(x² + 2 + 2x)
3x¹⁰ - 48 x² = 3x² (x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
