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2 years ago

The sum of the speed of two trains is 722.7 miles per hour. If the speed of the first train is 3.3 mph faster than the second tr

ain find the speeds of each

Mathematics

1 answer:

stellarik [79]2 years ago

7 0

$x-speed\ of\ first\ train\\x-3.3-speed\ of\ second\ train\\\\x+x-3.3=722.7\\x+x=722.7+3.3\\2x=726\\x=363\\\\x-3.3=363-3.3=359.7\\\\Speed\ of\ first\ train\ is\ 363 mph,\ speed\ of\ second\ train\ is\ 359.7.$

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Dominic is driving on a long road trip. He currently has 10 gallons of gas in his car. Each hour that he drives, his car uses up

Nostrana [21]

Answer:

(a) Equation: $T_n = 11.25 - 1.25n$

(b) 7.5 gallons

Step-by-step explanation:

Given

Current Gas = 10 gallon

Every Hour = -1.25 gallon

Solving for (a): An equation for the scenario

This question represents an Arithmetic Progression and will be solved using the following formula:

$T_n = a + (n - 1)d$

Where

$a = 10$

$d = -1.25$

Substitute these values in the formula

$T_n = 10 + (n - 1) * -1.25$

$T_n = 10 -1.25n +1.25$

Collect Like Terms

$T_n = 10 + 1.25 - 1.25n$

$T_n = 11.25 - 1.25n$

Solving for (b): In this case, n - 3

Substitute 3 for n in $T_n = 11.25 - 1.25n$

$T_3 = 11.25 - 1.25 * 3$

$T_3 = 11.25 - 3.75$

$T_3 = 7.5$

<em>7.5 gallon of gas left</em>

6 0

2 years ago

Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of th

IceJOKER [234]

Answer:

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Step-by-step explanation:

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3 years ago

Can anyone tell me how you could describe this answer to the equation?

DanielleElmas [232]

The end behavior of the given polynomial is that as x → -∞ or x → ∞, then, f(x) → 5

<h3>What is the end behavior of the Polynomial?</h3>

We are given the polynomial;

f(x) = 5x/(x - 25)

Now, we want to find the limits as x → ±∞. Let us rearrange the given polynomial to get; f(x) = 5/(1 - (25/x))

Thus, applying limits we have;'

lim x → ±∞ [5/(1 - (25/x))]

From algebraic limit laws we know that;

If f(x) = k, then;

lim x → +∞ [f(x)] = k

Also, lim x → -∞ [f(x)] = k

Thus, applying limits at infinity to our polynomial gives;

lim x → ±∞ [5/(1 - (25/x))] = 5/(1 - 0) = 5

This is because lim x → ∞ for 1/x is 0.

Thus, f(x) has horizontal asymptotes at y = 5

Thus, we conclude that the end behavior is that as x → -∞ or x → ∞, then, f(x) → 5

Read more about Polynomial End behavior at; brainly.com/question/20347699

#SPJ1

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1 year ago

Evaluate each expression if a = 3 , b = 5 and c=1 b-c

Nezavi [6.7K]

Answer:

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

a = 3, b = 5, c = 1

b - c

<u>Step 2: Evaluate</u>

Substitute: 5 - 1
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2 years ago

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Answer:

i guess it's option d sorry if wanted someone else to answer

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2 years ago