Answer:
The product = 7
Step-by-step explanation:
7/8 * 8 = 7
(Multiplying a fraction by its denominator cancels the denominator out)
M = -1/2
(x₁, y₁) = (-2,-4)
Find the equation
y - y₁ = m(x - x₁)
y - (-4) = -1/2 (x - (-2))
y + 4 = -1/2 (x + 2)
2(y + 4) = -1 (x + 2)
2y + 8 = -x - 2
x + 2y = -10
Answer:
x=(8/3, infinity)
Step-by-step explanation:
-3x+8<15-3x+8
-3x+8<-3x+23
8<23
15-3x+8<15
23-3x<15
-3x<-8
x>8/3
Therefore, x=(8/3, infinity)
Answer:
They are 240 kilometers apart.
Step-by-step explanation:
This question can be solved using the following relation:

In which v is the velocity, d is the distance and t is the time.
An express train travels 80km/h from Ironton to Wildwood.
Here we have
. So



A local train, traveling at 48km/h, takes 2 hours longer for the same trip.
This means that when ![v = 48, t = x + 2[tex]. So[tex]v = \frac{d}{t}](https://tex.z-dn.net/?f=v%20%3D%2048%2C%20t%20%3D%20x%20%2B%202%5Btex%5D.%20So%3C%2Fp%3E%3Cp%3E%5Btex%5Dv%20%3D%20%5Cfrac%7Bd%7D%7Bt%7D)

Since 

Applying cross multiplication





So the distance is:

They are 240 kilometers apart.
If the income is $2600 the purchasing power will be $2400 .this is shown on the diagram above