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mihalych1998 [28]
3 years ago
10

What is the equation of the function shown in the graph provided? f(x)=?

Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0

Answer:

f(x)=3x

Step-by-step explanation:

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A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other w
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A train leaves Miami at 3:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels
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Answer:

The first train travels at 58 mph and the second train travels at 203 mph.

Step-by-step explanation:

The first train left Miami at 3:00 PM.

The second train left Miami at 8:00 PM.

Let the speed of the first train be x.

The second train travels 145 mph faster than the first, that is 145 + x

The second train overtakes the first at 10:00 PM

This means that at 10:00 PM, they were both at the same location.

That is 7 hours after the first train left and 2 hours after the second train left.

Speed is given as:

s = d / t

where d = distance traveled and t = time taken

For the first train, after 7 hours traveling at speed x:

x = d / 7

=> d = 7x _______(1)

For the second train, after 2 hours, traveling at speed 145 + x:

145 + x= d / 2

=> d = 290 + 2x ____(2)

Equating (1) and (2):

7x = 290 + 2x

=> 7x - 2x = 290

5x = 290

=> x = 290/5 = 58 mph

Therefore, the first train travels at 58 mph and the second train travels at 203 mph (58 + 145)

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Dividing in scientific notation
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Step-by-step explanation:

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A 7 volume numbered set of books is placed randomly on a shelf. What is the probability that the books will be numbered in the c
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The probability of them being in the right order would be a fraction of 1/7

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Kylie owes $1,700 on her credit card. The bank charges a monthly interest rate of 0.925%. If Kylie wants to pay off her credit c
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Answer:

$221.44

Step-by-step explanation:

As the bank charges a <em>monthly </em>interest, we cannot calculate a simple or compound interest over the 8 month period.  As the balance will decrease each month as Kylie makes payments, the interest applied each month will also decrease.  Therefore, we have to use:

<u>Monthly Payment Formula</u>

\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}

where:

  • PMT = monthly payment
  • P = loan amount
  • i = interest rate per month (in decimal form)
  • n = term of the loan (in months)

Given:

  • P = $1,700
  • i = 0.925% = 0.00925
  • n = 8 months

Substituting the given values into the formula and solving:

\implies \sf PMT=\dfrac{1700(0.00925)(1+0.00925)^8}{(1+0.00925)^8-1}=221.4403207

Therefore, the monthly payment to the nearest dollar will be $221.44

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