Angle bisector
hope this helped
X = 0 y = 15(0) - 4 = -4
x = 1 y = 15(1) - 4 = 11
x = 2 y = 15(2) - 4 = 26
x = 3 y = 15(3) - 4 = 41
x = 4 y = 15(4) - 4 = 56
x = 5 y = 15(5) - 4 = 71
range = largest - smallest
71 - -4 = 75
so the range is 75
Answer: The answer would be 25%
Step-by-step explanation: 100-75=25
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.
1 + 4x = -5 + 7x
<u> -4x </u> <u> - 4x </u>
1 = -5 + 3x
<u>+5 </u> <u>+5 </u>
6 = 3x
2 = x
Answer: x = 2
