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jekas [21]
3 years ago
7

peter played his favorite video game for 10 hours last week. today, peters parents restricted him to 5 additional hours each wee

k for the next 8 weeks. create the function f(x) that models peters total video game time and explain what each number in the situation represents graphically, using complete sentances
Mathematics
1 answer:
never [62]3 years ago
7 0
<span>f(x) is the function that models Peters total video game time. 
</span><span>Peter played his favorite video game for 10 hours last week.
</span><span>Peters parents restricted him to 5 additional hours each week for the next 8 weeks.
After 8 weeks Peter will have played f(x) hours video game.
f(x)=10+8*x , where x is the number of hours Peter plays every week and this number is smaller than 5 (his parents restricted this number) , x<5

</span>
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Answer:

11.91

Step-by-step explanation:

The question says there is a new line that connects V and T. If this line is drawn, the diagram would have a right-angle triangle. This triangle is called TUV.

In triangle TUV, the side length created by the points VT is the hypotenuse.

For right-angle triangles, you can use the Pythagorean theorem to find any side.

It's in the format side² + side² = hypotenuse².

To use the formula, you need to know the length of the other two sides. The length of these sides, because they are exactly horizontal or vertical, is found by subtracting the smaller coordinate from the other (that is not the same).

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-3 is the same. The length is 3.5 - (-5.75) = 9.25

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-5.75 is the same. The length is 4.5 - (-3) = 7.5

Substitute the lengths into the Pythagorean theorem:

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141.8125 = c²  Find the square root of both sides to isolate c

c = 11.91  Final answer, length of VT

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