Graph each function. Identify the domain and range of g(x)=|-3|

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Find the equation of the line that passes through the points (-800,200)and(-400,300).

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$(-800,200), \ \ \ \(-400,300) \n \n first \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y-y_(1))/(x-x_(1) ) \n \nm=(200-300 )/(-800+400) = (-100)/(-400)=(1)/(4) \n \nNow \ use \ y = mx + b \ with \ either \ point \ to \ find \ b, \ the \ y-intercept \ : \n \n y=mx+b \n \n200= (1)/(4) \cdot(-800)+b\n \n200=-200 +b \n \nb=200+200=400 \n \n y= (1)/(4)x+400 \ is \ the \ answer$

Simplify the expression: 3x + 5 + 7x=

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The answer would be 10x + 5

Hello!

The answer is 10x + 5!

Hopefully this helps! <3 ^^

The function C(f) = (f – 32) converts a temperature, f, in degrees Fahrenheit, to atemperature, C, in degrees Celsius. Determine C(52), to the nearest degrees Celsius.

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That function is incorrect.
The correct function is . . . . C(f) = (5/9) (f - 32) .

If a Fahrenheit thermometer reads 52° ,
then a Celsius thermometer should read . . .

C (52) = (5/9) (52 - 32) =

(5/9) (20) = (11 and 1/9)°C.

C(52)= (52-32)=20. You substitute (f) with 52

Jennifer is going on a hike to the top of a mountain. It will take 3 hours and 55 minutes to hike up the mountain and 1 hour and 10 minutes to hike back down. If Jennifer wants to finish the hike by 3:45 P.M., what is the latest time she can start the hike up the mountain? Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

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Answer: 10:40 AM

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Explanation:

Add the minutes for now

55 minutes + 10 minutes = 65 minutes = 60 minutes + 5 minutes = 1 hour, 5 minutes

The minute portions add to 1 hour, 5 minutes. The hour portions add to 3+1 = 4.

Add on the "1 hour, 5 minute" portion and we get 5 hours, 5 minutes

This is the total duration of the round trip hike. Keep in mind that this does not include any time spent with Jennifer resting at the top of the mountain. This time duration assumes that once she gets to the top, she pretty much starts the hike back down the mountain.

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Now convert 3:45 PM to military time. We add 12 hours to get 15:45

Subtract off 5 minutes to get 15:40

Then subtract off 5 hours to get 10:40, which converts back to 12-hour time notation to be 10:40 AM

Simplify the following expression:7x − 4y + 5z − 2x − 10y + z

5x − 14y + 6z
9x − 14y + 6z
5x − 6y + 6z
9x − 6y + 6z

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If you would like to simplify 7x − 4y + 5z − 2x − 10y + z, you can do this using the following steps:

7x − 4y + 5z − 2x − 10y + z = 7x - 2x - 4y - 10y + 5z + z = 5x - 14y + 6z

The correct result would be 5x - 14y + 6z.

Find the coordinates of the midpoint of with endpoints G(-9, 4) and H(5, 10).

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$((x_(2) + x_(1))/(2), (y_(2) + y_(1))/(2)) \n((-9 + 5)/(2), (4 + 10)/(2)) \n((-4)/(2), (14)/(2)) \n(-2, 7)$

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