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11111nata11111 [884]
2 years ago
10

Give an example of each of the following:

Mathematics
1 answer:
Igoryamba2 years ago
5 0

Part a.

The function f(x) = sqrt(x-1) has the domain [1, infinity). We would solve x-1 >= 0 for x to get x >= 1 to ensure that the (x-1) expression is never negative. So the smallest x value we can plug in is x = 1. Recall that applying the square root to a negative number is not defined (assuming you are ignoring complex or imaginary numbers).

--------------------------------------------------------

Part b.

Pick any number you want. Then add on some other number. Let's say we pick 7 as our first number. Then let's say we add on 4. That gets us to 11. Add on 4 again and we jump up to 15. Do it again twice more and you have this sequence

7, 11, 15, 19, 23

which is arithmetic since we increase by the same amount (4) each time. The first term is 7 and the common difference is 4.

--------------------------------------------------------

Part c.

There are lot of options here. All we need to do is ensure that the slopes of each line are different. This will guarantee that the lines are not parallel. Non-parallel lines will always cross each other one time and one time only.

So one system we could have is

\begin{cases}y = 2x+3 \\ y = 6x-7\end{cases}

the slopes 2 and 6 are different so the system will have exactly one solution.

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zhannawk [14.2K]

Answer:

might wanna take a picture instead...

7 0
2 years ago
A tennis player keeps track of the number of successful first serves he makes. During the first 8 service points of a game, only
Andru [333]

Answer:

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

Step-by-step explanation:

After n consecutive serves, his total number of serves is going to be n+8, since he has already served 8 times. In the best case, his number of successful first serves is n+2.

His percentage of succesful first serves is the division of the number of succesful first serves divided by the total number of serves. So

P = \frac{n+2}{n+8}

We want P = 0.60. So

0.6 = \frac{n+2}{n+8}

n+2 = 0.6*(n+8)

n + 2 = 0.6n + 4.8

n - 0.6n = 4.8 - 2

0.4n = 2.8

n = \frac{2.8}{0.4}

n = 7

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

5 0
3 years ago
Explain how to find an estimate for the quotient 3.4 ÷ 6
vovikov84 [41]
To estimate this we can do it like this:-
<span>
Way #1

3.4 = 3
6 = 6 

3 </span>÷ 6 = <span>0.5

So, to estimate 3.4 </span>÷ 6 we round 3.4 to the nearest whole number and den divide. Den d answer is our estimated answer!

3.4 ÷ 6 = 0.5

Hope I helped ya!! 
3 0
3 years ago
Read 2 more answers
If a secretary typed 10,800 words in 2 hours and 30 minutes, how many words per minute did she type? ( Hint: Change hours to min
melamori03 [73]
<h3>Answer:  72 words per minute</h3>

Work Shown:

1 hour = 60 min

2 hours = 120 min (multiplied both sides by 2)

2 hours + 30 min = 120 min + 30 min = 150 min

speed = (number of words typed)/(time taken)

speed = (10800 words)/(150 min)

speed = (10800/150) words per minute

speed = 72 words per minute

4 0
2 years ago
Brandon is baking cookies for a school bake sale. If he can make 2 dozen cookies in 23 minutes which is a reasonable estimate of
madreJ [45]
It would be around 138 minutes which is 2 hrs and 18 min so it would be C).
3 0
3 years ago
Read 2 more answers
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