Answer:
y = -1/12 x + 11/3
Step-by-step explanation:
do you need one?
Answer:
1. x=6
2. C <-26
3. p<6
4. -5x-44
Step-by-step explanation:
1. 2x = 3(x-2) - 3(x-6)
Distribute
2x= 3x-6 -3x+18
Combine like terms
2x =12
Divide by 2
2x/2 =12/2
x=6
2. C+6<-20
Subtract 6 from each side
C+6-6 < -20-6
C <-26
3. -5p > -30
Divide by -5. Remember to flip the inequality when dividing by a negative
-5p/-5 < -30/-5
p<6
4. -4 - 5(X+8)
Distribute
-4 -5x-40
Combine like terms
-5x-44
Answer:
h(-4) = -2
Step-by-step explanation:
h(x)=-2x-10
Let x = -4
h(-4)=-2*-4-10
=8-10
= -2
Let x be the length of the train.
On the basis of the observer;
Speed of the train = x/6
On the basis of the bridge;
Total distance covered by any point of the train= 350+x
Speed = (350+x)/20
Equating the two expressions of speed;
x/6 = (350+x)/20
20(x) = 6(350+x)
20x = 2100+6x
(20-6)x = 2100
14x = 2100
x= 2100/14 = 150 m
Speed = x/6 = (350+x)/20 = 150/6 = 500/20 = 25 m/s.
Therefore,
Length of train = 150 m
Speed of train = 25 m/s
Answer:
C
Step-by-step explanation:
The slope m of the functions give the measure of the rate of change.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
g(x) = 
x - 3 ← is in slope- intercept form
with slope m = = 2.5
Calculate the slope of f(x) using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 3.5) and (x₂, y₂ ) = (1, - 1) ← 2 points from the table
m = 
= 2.5
Hence
The slopes of g(x) and f(x) are both m = 2.5, thus
The functions increase at the same rate → C
