Answer:
9
Step-by-step explanation:
5x+3x-3= 8x+16-10
5x+3x-8x=16-10+3
8x-8x=9
= 9
Answer:
1. x^2-9x+18
2. 2x^2-4x-16
3. 3x^2-19x-14
4. 6x^2 +14x + 8
Step-by-step explanation:
1. (x-3)(x-6)
x^2 - 6x - 3x +18 = x^2-9x+18
2. (2x+4)(x-4)
2x^2-8x+4x-16 = 2x^2-4x-16
3. (x-7)(3x+2)
3x^2+2x-21x-14 = 3x^2-19x-14
4. (3x+4)(2x+2)
6x^2+6x+8x+8 = 6x^2 +14x + 8
Answer:
- train: 40 kph
- plane: 140 kph
Step-by-step explanation:
Let t represent the speed of the train in km/h. Then 4t-20 is the speed of the plane. Travel times are the same, so we can use the formula ...
time = distance/speed
and equate the travel times.
110/t = 385/(4t-20)
Cross multiplying gives ...
110(4t -20) = 385t
440t -2200 = 385t . . . . . eliminate parentheses
55t -2200 = 0 . . . . . . . . . subtract 385t
t -40 = 0 . . . . . . . . . divide by 55
t = 40 . . . . . . . . . . . add 40; train's speed is 40 kph
4t -20 = 140 . . . . . . find plane's speed; 140 kph
The train's speed is 40 km/h; the plane's speed is 140 km/h.
_____
<em>Check</em>
Train's travel time = 110 km/(40 km/h) = 2.75 h.
Plane's travel time = 385 km/(140 km/h) = 2.75 h.