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Vsevolod [243]
2 years ago
9

Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 mile head start. Harper runs 0.5 miles per hou

r fastet than Lism. If harper and Liam run the same distance, how many hours, x, do they run?
Mathematics
1 answer:
Scilla [17]2 years ago
4 0

Answer:

30 minutes = 0.5 hour

Step-by-step explanation:

0.5 miles faster than Liam:

4x + 0.25 = 4.5x

0.25 = 4.5x - 4x

0.25 = 0.5x

x = 0.25 / 0.5

x = 0.5 hours

x = 30 minutes

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Write a function to represent the set of ordered pairs.
77julia77 [94]

Answer:

Option C   f (x) = x^ 2 - 2

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9

Therefore the relationship is not linear.

However, the exchange rate y_n- y_{n-1} increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

y = x ^ 2

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is y = x ^ 2 then the function that contains the ordered pairs of the B set is:

y = x ^ 2 -2

The correct option is option C) f (x) = x^ 2 - 2

8 0
3 years ago
What is the equivdent<br> equation to: –6=3y
Morgarella [4.7K]

Answer:

-2 is the answer

Step-by-step explanation:

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7 0
2 years ago
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Simplify 3/8 and 9/64<br><br> PLEASE HELP
Andrew [12]

Answer:

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9/64 simplified is also still 9/64 (0.140625 in decimal form)

Step-by-step explanation:

5 0
2 years ago
Maulik bought two horses at Rs 40,000 each. He sold one horse at 15% gain, but he to sell the second horse at a loss. If he had
givi [52]

Answer:

Answer is selling price of second horse is Rs 30400.

Step-by-step explanation:

Maulik bought one horse at Rs 40000 and sold it with a gain of 15%

So the selling price of one horse will be 40000+15% of 40000

                                                      = 40000+6000

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Second horse is costing Rs 40000 and had suffered a loss of Rs 3600 on selling both so selling price of both will be = 40000×2-3600

                                                                       = 80000-3600

                                                                       = 76400

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3 years ago
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There is an understood decimal behind the 0. move the decimal two places to the left. making it .50. <span />
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