Answer:
a. 
b Slope: 
or 
Step-by-step explanation:
The equation of a line that passes through the origin is:
Where "m" is the slope of the line.
By definition, Direct variation equations have the following form:
Where "k" is the Constant of variation.
Then, you can conclude that:
a. Let be "d" the distance in miles that the train travels per gallon.
You can observe in the graph that when the train travels 10 miles, it uses 100 gallons. Then, you can set up the following proportion:
Solving for "x", you get:
Then, it travels 0.1 miles per gallon.
b. The slope is also or . To check this, you can subsitute the coordinates of the point (100,10) into and solve for "m" in order to find its value.
This is:
Sinα=(opposite side)/hypotenuse
cosα=(adjacent side)/hypotenuse
tanα=(opposite side)/(adjacent side)
In a right triangle the longest side is the hypotenuse.
If one angle opposite a side is α, the angle opposite the other side is 90-α (because the sum of all angles must be 180° for any triangle)
I hope that helps as your question is not really clear, if you have any more specific questions, I'd be happy to help out. :)
Answer:
B is P(x)=(x-3)^2 +2
C is P(x)=(x-1)^2 -5
Step-by-step explanation:
i think i am right
Answer: $5.22 (in the year 2021)
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Explanation:
The year 2021 is 22 years after 1999 since
2021 - 1999 = 22
That means we'll plug x = 22 into the equation given to us
P = 144*(0.86)^x
P = 144*(0.86)^22
P = 5.21588994768589 which is approximate
P = 5.22 rounding to the nearest cent
The share price is about $5.22 in the year 2021.
This assumes that the 14% decline keeps happening year after year; however, in reality, stocks are more complicated and fluctuate more randomly if anything.
Answer:
Convert to find the equivalent rate. 972 cups minute = quarts minute
if there is 4 cups in a quart the answer would be:
972 / 4 = 243
Step-by-step explanation:
