9x^3-39x^2-38x+40=(3x-2)(3x+4)(x-5) by synthetic division
Thus roots are -4/3, 2/3, 5
<span>He relationship between rectangular and rotational coordinates can be represented by the vector equation:
r = xi +yj = rcos(theta)i+rsin(theta)j
What values in radians makes
x minimum
y maximum
and x = -y
Ans : x minimum = -r when theta = 180 degrees + any multiple of 360 degrees
y minimum = -r when theta = 270 degrees + any multiple of 360 degrees
x = -y when theta = 135 degrees + any multiple of 180 degrees.</span>
Hello,
g(x)=4096^x
g(0)=1
g(0.25)=(2^12)^1/4=2^(12/4)=2^3=8
g(0.50)=(2^12)^(1/2)=2^6=64
g(0.75)=(2^12)^(3/4)=2^9=512
g(1)=4096^1=4096
Answer:
<em>In the year the study began, there were </em><em>40 bears more than cougars</em><em>.</em>
Step-by-step explanation:
1. <u>Determine the number of </u><em><u>bears</u></em><u> that were in the given region when the study began.</u>
<u />
- Function: f(x) = 830(0.8)ˣ
- Start ⇒ x = 0
- Substituting: f(0) = 830 (0.8)⁰ = 830 (1) = 830
2. <u>Determine the number of </u><em><u>cougars</u></em><u> that were in the given region when the study began</u>:
- From the table, the population of cougars 0 years after the study began was 790.
3. <u>Compute the difference</u>:
- Number of bears - number of cougars = 830 - 790 = 40