X=Tom´s age
y=Tim´s age.
we suggest this system of equations:
x+y=21
(x+3)=2(y+3)
We solve this system of equations by susbstitution method.
x=21-y
[(21-y)+3]=2(y+3)
24-y=2y+6
-y-2y=6-24
-3y=-18
y=-18/-3=6
x=21-y
x=21-6=15.
Answer: Tom is 15 years old, and Tim is 6 years old.
Answer:
f(x) = 4x³+16x²+4x-24
Step-by-step explanation:
Factors are (x+3)(x+2)(x-1)
(x+3)(x²+2x-x-2)
(x+3)(x²+x-2)
x³+x²-2x+3x²+3x-6
x³+4x²+x-6
This could have been the function but the intetcept is 6 here.
So we'll take a miltiple of this one such that the intercept becomes-24
-24/-6 = 4
That multiple is 4
f(x) = 4(x³+4x²+x-6)
f(x) = 4x³+16x²+4x-24
Answer: 52.94
Step-by-step explanation:
Length of train A = 480m
Tunnel length = 1320m
Time taken to cross tunnel = 2 mins = 120sec
Length of train B = 420m
Train B is slower than train A
Difference between their speed = 18km/hr
18km/hr = (18×1000)/3600 = 5m/s
Speed of train A :
Speed = distance / time
Speed = 1320 / 120 = 11m/s
Therefore, speed of train B :
(11 - 5)m/s = 6m/s
Relative speed of the two trains is therefore;
(Speed of A + speed of B)
Note : they are moving in opposite direction
( 11 + 6)m/s = 17m/s
Therefore time taken to cross each other :
(Sum of the length of both trains / relative speed of the trains)
Time taken = (480m + 420m) / (17m/s)
Time taken = 900m / 17m/s
Time taken = 52.94s
Answer:10/9 if I am wrong I am sorry
Step-by-step explanation:
Answer:
p = 10.50 + b b = 10.50 + p b = 10.50p p = 10.50b
Step-by-step explanation:
The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 21, 42, 63, 84, and 105. Points are shown on ordered pairs 0, 0 and ..
The graph below shows the price of different numbers of mats at a store: A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 21, 42, 63, 84, and 105. Po - the ... 21, 42, 63, 84, and 105. Points are shown on ordered pairs 0, 0 and 2, 21 and 4, 42 and 6, 63 and 8, 84.
