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3 years ago

Find the constant of variation (k) where y varies directly with x. y = 2, when X = 6.

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

7 0

Answer:

The graph below models the value of a $20,000 car t years after it was purchased.

Value of Car

A graph titled Value of Car has years on the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

Each car value, y, is associated with exactly one time, t.

Each time, t, is associated with exactly one car value, y.

The rate at which the car decreases in value is not constant.

There is no time, t, at which the value of the car is 0.

Step-by-step explanation:

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A motorboat maintained a constant speed of 28 miles per hour relative to the water in going 45 miles upstream and then returning

Sveta_85 [38]

The speed of the current is 7 miles per
hour.
Step-by-step explanation:
Let × represent speed of the current.
We have been given that a motorboat
maintained a constant speed of 11 miles per
hour relative to the water in going 18 miles
upstream and then returning.
The speed of motorboat while going
upstream would be 11
The speed of motorboat while going
downstream would be 11 + 2
Time
Distance
Speed

3 0

2 years ago

|x - 12| = 4 please provide an explanation

geniusboy [140]

Answer: x = 16, x = 8

Step-by-step explanation:

|a| > 0, there are two solutions

|a| = 0, there is one solution

|a| < 0, there are no solutions

So, in this problem, we have two solutions.

In absolute value, the expression inside can be equal to itself OR its opposite.

Ex: |y| = y, |y| = -y

So, we can write two equations:

x - 12 = 4, x = 16

-x+12 = 4, x = 8

Check: |16 - 12| = |4| = 4

Check: |8 - 12| = |-4| = 4

4 0

2 years ago

Which equation can be solved using only natural numbers

Ad libitum [116K]

Answer:

Step-by-step explanation:

Natural numbers are numbers which are positive whole numbers greater than 0. This includes 1, 2, 3, ...etc.

To determine, solve each equation.

A. x=0

B. x = 1/3

C. x=3

D. x=-4, 4

Only C is a natural number.

4 0

3 years ago

Sam and Lou need a total of 1 foot of wire for a science project. Sam's wire measured 7/8- foot long. Do they have enough wire f

Reil [10]

Answer:

Yes, Sam and Lou have enough wire for science project.

Step-by-step explanation:

There is some data missing in the question, so complete question is below:

$Sam\ and\ Lou\ need\ a\ total\ of\ 1\ foot\ of\ wire\ for\ science\ project.$ $Sam's\ wire\ measured\ 8/12\ foot\ long.\ Lou's\ measured\ 7/8-\ foot \ \ long.$ $Do\ they\ have\ enough\ wire\ for\ the\ science\ project?$ $Explain \ your\ reasoning.$