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Sliva [168]
2 years ago
13

PLEASE HELP!

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
8 0

The graph first represents the provided piecewise function option first is correct.

<h3>What is a piecewise function?</h3>

The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.

We have a piecewise function shown in the picture.

\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}

\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}

\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}

After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.

Thus, the graph first represents the provided piecewise function option first is correct.

Learn more about the piecewise function here:

brainly.com/question/12561612

#SPJ1

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Please help this question.
sergejj [24]

Answer:

a). 59.049°C

b). 2.1179 seconds

Step-by-step explanation:

Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,

T = 100(0.9)^{x}

where x = duration of cooling

a). Temperature when x = 5 seconds

T = 100(0.9)⁵

  = 59.049

  ≈ 59.049°C

b). If the temperature of the metal decreases from 100°C to 80°C

Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds

80 = 100(0.9)^{x}

0.8 = (0.9)^{x}

By taking log on both the sides

log(0.8) =log[(0.9)^{x}]

-0.09691 = x[log(0.9)]

-0.09691 = -0.045757x

x = \frac{0.09691}{0.045757}

x = 2.1179

x ≈ 2.1179 seconds

3 0
3 years ago
Penny reads 12 pages in 1/2 hour. What is the unit rate for pages per hour? For hours per page
Tanya [424]
24 pages. 12 is half an hour (30 minutes) so just multiply it by 2 so the minutes can equal an hour (60 minutes)
8 0
3 years ago
(6a to the 3rd)(5a to the 9th) over -12a to the 14th
blagie [28]

Answer:

idk

Step-by-step explanation:

8 0
4 years ago
In the division problem, what does the 8 represent in the quotient?<br> 3653÷13=281
yan [13]

Answer:

The eight represents a tenth/ten

Step-by-step explanation:

The 2 represents a two hundred, the 8 a eight tenth/eighty and the 1 a one

5 0
3 years ago
What is the positive square root of 0.49?<br><br> Enter your answer in the box.
chubhunter [2.5K]
\sqrt{0.49}  =  \sqrt{0.7 \times 0.7}

 \sqrt{0.49}  =  0.7
8 0
3 years ago
Read 2 more answers
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