Thanks for the points!
-∞ < x > ∞
-∞ < y > ∞
1. 10Z–4B+3Z+16B–Z = 10Z+3Z–Z+16B–4B
= 12Z+12B = 12(Z+B)
2. –5M–3P+5P+12P = 12P+5P–3P–5M = 14P–5M
3. 12P–4M+8P–3M–2P = 12P+8P–2P–4M–3M
4. 10B–5M–4B+8B–4M = 10B+8B–4B–5M–4M
5. 4Z+3Z–6Z+B = Z+B
6. 7B+3X–8B+6X = 6X+3X+7B–8B = 9X–B
Vertex Form of a quadratic equation;
Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;
Now substitute in the given point; ( -1, 9) and solve for a;
Hence the equation in vertex form is;
In standard form it is;
Find 20% of 65.90. 20% as a decimal is 0.20. Multiply 0.2 and 65.90.
65.90 x 0.20 = 13.18
Add 13.18 to the original price.
13.18 + 65.90 = 79.08
The answer would be D. $1200 in the first month, $1224 in the second month, and $1248.48 in the third month
(0.5, 1.3)(0.5, 1.3)
Given equations are:
As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.
We can plot the graph of both equations using any online or desktop graphing tool.
We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)
We can see from the graph that the lines intersect at: (0.517, 1.267)
Rounding off both coordinates of point of intersection to nearest tenth we get
(0.5, 1.3) is the correct answer
Keywords: Linear equations, variables