Answer:
3
Step-by-step explanation:
3/3x + 1/x+4 = 10/7x
3/3x + 1/x+4 = 10/7x , x=0,x=-4
1/x + 1/x+4 = 10/7x
1/x + 1/x+4 - 10/7x = 0
7(x+4)+7x-10(x+4) / 7x*(x+4) = 0
7x+28+7x-10x-40 / 7x*(x+4) = 0
4x-12 / 7x*(x+4) = 0
4x-12=0
4x-=12
x=3,x=0,x=-4
x=3
<em>Answer:</em>
<em>There would be 173,535 lionfish after 6 years.</em>
<em>Step-by-step explanation:</em>
<em>Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:</em>
<em></em>
<em>A)</em>
<em>8000 x 1.67 ^ n = f </em>
<em>B)</em>
<em>8000 x 1.67 ^ 6 = X</em>
<em>8000 x 21.691961596369 = X</em>
<em>173,535.692770952 = X </em>
<em>C)</em>
<em>(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f</em>
<em>Therefore, there would be 173,535 lionfish after 6 years.</em>
Answer:
253.90
Step-by-step explanation:
Answer:
It takes 2 1/2 hours to paint each room.
Answer:
a) The y-intercept is 160. It represents the initial distance Jayden was from his home.
b) The x-intercept is 4. It represents the amount of time taken for Jayden to reach his home.
Step-by-step explanation:
The y-intercept can be found by looking at the value of y when x=0. When x=0, y= 160. Since the x-axis is the amount of time in hours, x=0 would mean the initial time. The x-axis is the number of miles from Jayden's home thus, Jayden was 160 miles away from his home when x=0 hours.
The x-intercept can be found by looking at the x value when y=0. When y=0, x=4. This means that it took Jayden 4 hours to reach home or 4 hours to travel 160miles to his house.