Answer:
Step-by-step explanation:
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;
1. Slope 3/4, through (4,-1)
y = 3/4 x + b
-1 = 3/4(4) + b
-1 = 3 + b
-1 - 3 = b
-4 = b
y = 3/4 x - 4
2. Slope = - 1/2, through (3,0)
y = -1/2 x + b
0 = -1/2(3) + b
0 = -1.5 + b
0 + 1.5 = b
1.5 = b
y = -1/2 x + 1.5
8/25 of medfield....." of " means multiply
8/25(7000) = 56,000/25 = 2240 <== capital city's population
Answer:
x = 4 or x = -3
Step-by-step explanation:
Take square both the sides,
x² - x - 12 = 0
x² - 4x + 3x - 3*4 =0
x*(x - 4) + 3*(x - 4)= 0
(x- 4 )(x+3) =0
x -4 =0 or x + 3 = 0
x = 4 or x = -3
You just move the decimal place over twice. Ex: 76% = 0.76
