Answer:
Domain: All real number
Range: y≤-4
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.
Answer:
4/3
Step-by-step explanation:
−x+
3
7
=2x−
25
7
Step 1: Simplify both sides of the equation.
−x+
3
7
=2x+
−25
7
Step 2: Subtract 2x from both sides.
−x+
3
7
−2x=2x+
−25
7
−2x
−3x+
3
7
=
−25
7
Step 3: Subtract 3/7 from both sides.
−3x+
3
7
−
3
7
=
−25
7
−
3
7
−3x=−4
Step 4: Divide both sides by -3.
−3x
−3
=
−4
−3
2x2=4
4x4=8
5x5=10
6x7=42
8x4=32
9x10=90
11x2=22
9x3=27
Answer:
Step-by-step explanation:
Let the amount creating equality = x
10% x + 625 = 20%x Convert The percentages to a decimal
10/100 x + 625 = 20/100 x Multiply both sides by 100
10x + 62500 = 20 x Subtract 10x from both sides
62500 = 20x - 10x Combine
62500 = 10x Divide by 10 on both sides
62500/10 =10 x/10
6250 = x
The equality is reached when 6250 sales is made.
