Answer:
hello :
the graph passes by ( 3; -1/3) : f(3) = -1/3
a/ (3)^3 = -1/3
a / 27 = -1/3
a/9 = - 1
a = - 9
1st factor is 3x:
<span>= 3x(x² - 8x + 15) </span>
<span>2nd & 3rd factors: </span>
<span>x² - 8x + 15 = 0 </span>
<span>x² - 4x = - 15 + (- 4)² </span>
<span>x² - 4x = - 15 + 16 </span>
<span>(x - 4)² = 1 </span>
<span>x - 4 = 1 </span>
<span>= x - 4 - 1, = x - 5 </span>
<span>= x - 4 + 1, = x - 3 </span>
<span>Answer: 3x(x - 5)(x - 3) are the factors. </span>
<span>Proof: </span>
<span>= 3x(x - 5)(x - 3) </span>
<span>= 3x(x² - 5x - 3x + 15) </span>
<span>= 3x(x² - 8x + 15) </span>
<span>= 3x³ - 24x² + 45x</span>
Distance between points is given by the formula:
We will plug in the coordinates:
10,000 = 5,000(1+0.15)^x
2 = (1.15)^x
logbase(1.15) of 2 = x
x = ~4.96
Answer: second one
Step-by-step explanation:
