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zysi [14]
4 years ago
7

Find the derivative of the function using the definition of derivative. g(x) = 5 − x (1) Find g'(x) (2) State the domain of the

function. (Enter your answer using interval notation.) (3) State the domain of its derivative. (Enter your answer using interval notation.)
Mathematics
1 answer:
BigorU [14]4 years ago
4 0

Answer:

Answer is contained in the explanation

Step-by-step explanation:

g(x)=5-x\\g'(x)=\lim_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\\g'(x)=\lim_{h \rightarrow 0} \frac{[5-(x+h)]-[5-x]}{h}\\g'(x)=\lim_{h \rightarrow 0} \frac{5-x-h-5+x}{h}\\g'(x)=\lim_{h \rightarrow 0} \frac{-h}{h}\\g'(x)=\lim_{h \rightarrow 0} -1\\g'(x)=-1

g(x)=5-x has domain all real numbers (you can plug an a number and always get a number back)

So in interval notation this is (-\infty, \infty)

g'(x)=-1 has domain all real numbers (the original function had domain issues... and no matter the number you plug in you do get a number, that number being -1)

So in interval notation this is (-\infty, \infty)

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Points P, Q, and R are shown on the number line. What is the distance between point P and point Q? P(-76) Q(-24) R(0) A) 52 unit
Amiraneli [1.4K]

Answer:

A) 52 units

Step-by-step explanation:

The length of a line joining 2 points on a number line is given by the difference between the co-ordinates of the 2 points.

Therefore PQ= \left ( Q \right )-\left ( P \right )= \left ( -24 \right )-\left ( -76 \right )= 52

Hence the length of the line is 52 units

4 0
3 years ago
Kim works as a sale person for a car dealership. Her base salary is $85 per day. She gets paid commission of 7.2% of anything sh
amid [387]

Answer:

$939.04

Step-by-step explanation:

To calculate her gross pay, we need to take into consideration, her total pay for the 4 days and her commission based on the total amount of goods she sold.

Firstly, her daily base salary is $85, since she worked for 4 days, her total salary for the four days will be $85 * 4 = $340.

Now, she is to earn 7.2% of $8,320 as commission. The amount of her commission is thus 7.2/100 * 8,320 = 599.04

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6 0
4 years ago
Please help with 2 in the picture.
Ierofanga [76]

Answer:

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8 0
2 years ago
If Rosa buys 2 drinks for 4.78 how much would she pay if she bought 4 drinks.​
kicyunya [14]

Answer:

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7 0
3 years ago
14 Points! Please help me answer ALL questions. I really need help!
nika2105 [10]
1-A. About fifty people because the odds are 1/2 and half of 100 is fifty.

B. They would raise 3,000 cents if 100 people played the game because of half didn't win you would have 2,500 cents from what they paid and if half did win you would have 500 cents from having to pay for the prizes leaving only 10 cent from each person who won.

C. I do not think it is an effective game for raising money at a school party because even though the chance is 50:50 it does necessarily mean that half of the people will win and half will lose. Also if not a lot of people come to play your game it won't raise as much money.

2-A. If you flipped a coin 75 times you would expect to get heads 37 to 38 times. Because that is around half.

B. If you flipped a coin 75 you would expect to get heads 37 to 38 times because that is also around half.

C. No, you cannot conclude that the coin is not a fair coin. You have a fifty:fifty chance of getting it heads or tails. Just because the coin landed on heads more that tails does not necessarily make it unfair because every time you flip it it still has that fifty: fifty chance.



I hope this helps.
7 0
3 years ago
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