Answer:
x=3
y=11
Step-by-step explanation:
y = 3x + 2 equation 1
y = 7x - 10 equation 2
using equation 1 in equation 2 we have:
3x + 2 = 7x - 10
2=7x - 3x -10
2 = 4x -10
2+10 = 4x
12= 4x
12/4 = x
we have:
x= 3
using equation 1:
y = 3x + 2
y= 3(3)+2
y=9+2
y=11
Answer: G(x) = 3|x + 2| - 8
<u>Step-by-step explanation:</u>
"a" represents the vertical stretch <em>(or shrink)</em>
"h" represents the x-coordinate of the vertex
- x-axis goes left and right
"k" represents the y-coordinate of the vertex
F(x) = 3|x - 2| - 5
G(x) = 3(x - 2 + 4| - 5 - 3
= 3|x + 2| - 8
Answer:
Ratio = 1 : 4
Step-by-step explanation:
Total marbles = 10
Given 1/5 is red, that is 1/5 of the total marbles are red
Therefore , 10 - 2 = 8 marbles are blue.
Ratio of red marbles to blue marbles
Answer:
8 hours
Step-by-step explanation:
20÷5 = 4
4×2 = 8
Hope this Helps!
:)
<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>
