Answer:
Solving equation i and ii, we get;
3x-3y+x+3y=9+12
4x=21
x=21/4
Putting the value of x in equation ii.
(21/4)+3y=12
3y=12-(21/4)
3y=(48-21/4)
y=27/(4*3)
y=9/4
1. f(x) = 9x² + 6x - 8
f(x) = (3x - 2)(3x + 4)
When (3x - 2) = 0, then x = 2/3
When (3x + 4) = 0, then x = -4/3
Answer: The zeros are two divided by three and negative four divided by three.
2. f(x) = 9x³ - 45x² + 36x
f(x) = 9x(x² - 5x + 4)
= 9x(x - 1)(x - 4)
When 9x = 0, then x = 0
When (x-1) = 0, then x = 1
When (x-4) = 0, then x = 4
Answer: 0, 1 and 4
3. f(x) = 4(x+7)²(x-7)³
When (x+7)² = 0, then x = -7 (twice)
When (x-7)³ = 0, then x = 7 (thrice)
Answer: 7, multiplicity 2; -7 multiplicity 3
4. The zeros of f(x) are √5, -√5, -7
The factors of f(x) are (x-√5)(x+√5)(x+7)
Note that (x-√5)(x+√5) = x² - (√5)² = x² - 5
f(x) = (x²-5)(x+7)
= x³ + 7x² - 5x - 35
Answer: f(x) = x³ + 7x² - 5x - 35
5. Expand (2x + 4)³
From Pascal's Triangle, the coefficients are 1 3 3 1
Therefore
(2x + 4)³ = 1(2x)³(4)⁰ + 3(2x)²(4)¹ + 3(2x)¹(4)² + 1(2x)⁰(4)³
= 8x³ + 48x² + 96x + 64
Answer: 8x³ + 48x² + 96x + 64
3x - 13 = 7(x + 2) - 4(x - 7)
3x - 13 = 7x + 14 - 4x + 28
3x - 13 = 3x + 42
3x = 3x + 55
0 = 55
0 ≠ 55
so…
answer: no solution
Answer:
my name is mmmmmmm
Step-by-step explanation:
hehehehe
He can buy 11 peanuts, taking in consideration the .38 cents is WITH tax already included. There is no way to find out the tax rate without the original and the change in the problem other wise.
