Answer:
-2x^2+5x+12
Step-by-step explanation:
(4-x)(3+2x)
12-3x+8x-2x^2
12+5x-2x^2
-2x^2+5x+12
The car's average rate is 43.7 mph. The bicycle's average rate is 12.3 mph.
To get this solution, let the bicycle's average rate be (x) and the car's average rate be (x + 31.4) mph.
Distance= Speed x Time
364 = (x + x + 31.4) 6.5
364 = (2x + 31.4) 6.5
364/6.5 = 2x + 31.4
56 = 2x + 31.4
56 - 31.4 = 2x
24.6 = 2x
24.6/2 = x
12.3 = x
x = 12.3 mph
x+31.4 = 43.7 mph
Answer:
y = x^2 - 4
Step-by-step explanation:
The vertex of a parabola is exactly halfway between the focus and the directrix. If the focus is at (0, -6) and the directrix is the line y = -2, then we do this to locate the vertex: Draw a vertical line through (0, -6) also crossing the line y = -2. The y value halfway between y = -6 and y = -2 is y = -4, and the vertex is thus (0, -4).
Using the vertex method, write out the equation of this parabola, starting with the general form y - k = (x-h)^2, where (h, k) is the vertex. Here h = 0 and k = -4
We get: y + 4 = (x - 0)^2, or y + 4 = x^2, or y = x^2 - 4. As a check, let x = 0; y = -4, which is the y-coordinate of the vertex.
Answer:
El propietario pagará una tasa de interés de 1472 € (736x2 años)
Step-by-step explanation:
8000 / 100 x 9.2 = 736€
736 x 2 = 1472 :)
Answer:
X=17
Angle K=110 degrees
Angle L= 70 degrees
Angle M= 110 degrees
Angle N= 70 degrees
Explanation:
6x + 8 + 2x +36=180
8x + 44= 180
8x = 136
X = 17
6(17)+8
102+8
110
2(17)+ 36
34+36
70
110 + ? =180
180-110= 70
70 + ?=180
180-70=110
