Rewrite the equation as
If we choose , the right hand side becomes zero, and so does the left hand side.
If you graph the two functions and , you'll see that there are only two solutions, so the ones we found are the only ones.
Answer:
x=-2
Step-by-step explanation:
ok so you have to subtract -x from -9x (you would make x a one) which would be -8,and then you subtract 1 from 17,which would be 16 then you divide that from -8,so the answer would be x=-2
Answer:
x-intercepts: -2; 1; 5
Average rate of change: 1.8
Step-by-step explanation:
<u>x- intercepts as per graph are:</u>
<u>Average rate of change over the interval (-1, 4) is:</u>
- Δy/Δx = (y(4) - y(-1))/(4 - (-1)) = (3 - (-6))/5 = 9/5 = 1.8
<h3>
Answer: (3, 0)</h3>
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Explanation:
Let's isolate x in the first equation.
x-2y = 3
x = 3+2y
Then we'll plug this into the second equation
Afterwards, solve for y.
2x + 4y = 6
2(3+2y)+4y = 6
6+4y+4y = 6
8y+6 = 6
8y = 6-6
8y = 0
y = 0/8
y = 0
Use this to find x.
x = 3+2y
x = 3+2(0)
x = 3
The solution is therefore (x,y) = (3, 0)
If you were to graph both lines, then they would intersect at the location (3,0).
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Checking the answer:
Plug x = 3 and y = 0 into the first equation.
x-2y = 3
3-2(0) = 3
3 - 0 = 3
3 = 3 that works
Repeat for the other equation
2x+4y = 6
2(3) + 4(0) = 6
6 + 0 = 6
6 = 6 that works as well
Both equations are true when (x,y) = (3,0).
The solution is confirmed.