Answer:
they just go straight what does it mean?
Answer:
a = 2/27
b = 13/27
Step-by-step explanation:
The given polynomial is presented as follows;
f(x) = a·x³ + b·x² + x + 2/3
Given that x + 3 is a factor, we have;
f(-3) = 0 = a·(-3)³ + b·(-3)² - 3 +2/3 = 0
-27·a + 9·b - 3 + 2/3 = 0
-27·a + 9·b = 7/3........(1)
Also we have
(a·x³ + b·x² + x + 2/3) ÷ (x + 2) the remainder = 5
Therefore;
a·(-2)³ + b·(-2)² + (-2) + 2/3 = 5
-8·a + 4·b - 2 + 2/3 = 5
-8·a + 4·b = 2 - 2/3 = 4/3........(2)
Multiplying equation (1) by 4/9 and subtracting it from equation (2), we have;
-8·a + 4·b - 4/9×(-27·a + 9·b) = 4/3 - 4/9 × 7/3
-8·a + 12·a = 8/27
4·a = 8/27
a = 2/27 ≈ 0.0741
imputing the a value in equation (1) gives;
-27×2/27 + 9·b = 7/3
-2 + 9·b = 7/3
9·b = 7/3 + 2 = 13/3
b = 13/27 ≈ 0.481.
Parameters of functions are the independent variable(s). e.x. y = 2x /\ x is the independent <span> variable (the parameter).</span>
Easy way
-21÷3=-7 which is the exact center so
-6, -7, -8
Equation
x + (x+1) + (x+2) = -21
3x + 3 = -21
3x=-24
x=-8
x+1=-7
x+2=-6
2. Consecutive Odd Integers
X, X+2, X+4
X + (X+2) + (X+4) = 144
3X+6=144
3X=144-6=138
X = 138/3 = 46 .....There are no 3 odd Integers that can equal an even integer
3. 3 consecutive even number x, x+2, x+4
X + (X+2) + (X+4) = 48
3X+6=48
3X=48-6=42
X=42/3=14
14, 16, 18
12 - 3 = 9
3 + 9 = 12
12 - 9 = 3