I will give you everything I can do:
11)
Lets say Car A travels at x mph. That means Car B travels at x+2 mph.
Both of them are traveling towards each others, so we can say the total speed is 2x+2.
Now i takes 3 hrs and we know the distance.
Since R*T=D
Then 3(2x+2)=270
So 2x+2=90
2x=88
x=44
12)
To find perpendicular we want to find the opposite reciprocal of the original slope. Therefore the slope is 3/2.
Now we must find the equation of the line with the given variable.
First find b.
5=3/2*4+b
b = -1
So the equation of this line is:
y=3/2x-1
13) All work will be shown below.
6-3(-2-4x)=2(3(x-4)+7)
6+6+12x=2(3x-12+7)
12+12x=2(3x-5)
12+12x=6x-10
6x=-2
x = -1/3
14)
First we must find the amount each train traveled.
The speed of F train(Freight train)=x
The speed of P train(passenger train)=x+6
Their combined speed is 2x+6
It takes 2 hrs to cover 100 miles
So 2(2x+6)=100
2x+6=50
2x=44
x=22
So the freight train covered 44 miles and the passenger train covered 56 miles.
To find average speed you must do Total Distance/Total Time.
44/2 and 56/2
Which are 22 and 28.
The average speed of F train is 22 mph and average speed of P train is 28 mph.
15) Again opposite reciprocal.
3/5 -> -5/3
Work:
-4=-3*-5/3+b
-4=5+b
b=-9
y = -5/3x-9
16)
F=kx-kx0
First kx0 = 0
So F=kx
So x=F/k
Answer:
-7 and 21
Step-by-step explanation:
y-2y=7 (sub x=7 to the equation)
-y=7
y=-7 (not sure of its correct)
if y=-7,
x-2(-7)=7 (sub y=-7 into equation)
x-14=7
X=7+14
X=21
Answer:
1. y = 2/3 x +2
2. y = -x -8
Step-by-step explanation:
The slope intercept form of a line is y = mx+b where m is the slope and b is the y intercept
1. y = 2/3 x +2
2. y = -x -8
the ball reaches its maximum height of 15 feet in 2.2 seconds
The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground
The ball starts on the ground at 0 seconds so the ball starts at x=0 seconds
the ball reaches its maximum height of 15 feet in 2.2 seconds
So it takes 2.2 second to reach the maximum height
It will take another 2.2 seconds to reach the ground
The time the ball in the air is 2.2 + 2.2 = 4.4
The ball will reach the ground in 4.4 seconds
So the domain for g(x) is {0,4.4}
