For 1 and 2, you plot both lines, and wherever they intersect is the solution to the system. Given the equation of a line, I think the easiest way to plot it is to find two points on the line, then draw a line through them. For example, if , then when , you get ; when , you get . So plot the points (0, -1) and (1, 4), then strike a line through.
1. Notice that dividing both sides of by 2 returns , same as the first equation. So the system of equations reduces to one equation, which can have an infinite number of solutions. (This is because for any choice of or , you can always find a corresponding value for the other variable.)
2. See attached image. is given by the purple line.
For 3-6, you have several options. The two simplest methods of solving them are by substitution or elimination.
3. Like with (1), notice that dividing both sides of the first equation by 2 gives , so there will be an infinite number of solutions.
4. (by substitution) Since , we can replace in the second equation:
but this is false, so there are no solutions to this system.
5. (by substitution) Since , in the first equation we have
Then back in the second equation we find
So (-4, -3) is the only solution here.
6. (by substitution) Notice that the left hand sides of both equations are the same, so we end up with 7 = 12, but this is false, so no solution exists.
Based on these first few terms, we can deduce that the next term is computed by switching the sign of the previous one, and multiplying it by 3: we start with -1, we switch the sign (1) and multiply by 3 (3); then again we switch the sign (-3) and multiply by 3 (-9), and so on.
Since switching sign is the same as multiplying by -1, we can compute every next term by multiplying the previous one by -3:
So, the recursive formula is
because it states precisely that the next term is -3 times the previous one.
Answer:
I=PRT is the formula
Step-by-step explanation:
Principal is $1,500. The interest rate is 4.25% and the time is 18.5 years.
That's all i know good luck
3
quart of red paint with
2
3
blue paint to make purple paint.
1
1
3
1
3
1
3
How much purple paint did the painter make?
The painter made quart of purple paint.