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tatyana61 [14]
3 years ago
14

Can anyone explain how to do this? I looked at the book and now I'm even more confused. 50 points

Mathematics
1 answer:
katrin [286]3 years ago
8 0

The piecewise function is basically the result of two different functions combined together. If x is 0 or larger, then h(x) = x+4. Otherwise, if x < 0, then h(x) = -x-4

No matter what number you pick for x, the h(x) function will be used in some way. So the domain is the set of all real numbers. To write this in interval notation, we write (-\infty, \infty) which means we start off at negative infinity and go to positive infinity. This is basically saying "the entire real number line". Since we can't actually reach either infinity, we always use parenthesis with them. <u>Never</u> use square brackets with either infinity

From the graph (see attached image below), we see that (0,-4) is the lowest point. This means y = -4 is the smallest y output possible, though we can't actually reach it because of the open circle at (0,-4). We can get any other larger y value. So the range is therefore: (-4, \infty) meaning we start at -4 and head off to positive infinity. The curve parenthesis next to -4 the reader "exclude -4 as part of the range". There is an open hole or gap here. Another way to state the range is to write y > -4

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kelly is using a bucket to fill up a barrel with water from a well. The barrel holds 25.5 liters.the bucket holds 800 millileter
SVEN [57.7K]
To determine how much of the barrel is left to fill, you must subtract the amount of water already in it from the total mass of the bucket. 

25.5 - 5.2 = 20.3 Litres  

In order to the fill the entire barrel, Kelly must collect 20.3 Litres of water. You must then covert the measurement from litres to millilitres so that the bucket and barrel are measured in the same units. 

20.3L = 20300mL

You must then divide the amount of space left by the mass of the bucket. This will determine the least number of buckets needed to fill the barrel. 

20300 <span>÷ 800 = 25.375 

That means the you would have to do a minimum on 25.375 buckets to fill the barrel, or 26. 

Hope this helps :) </span>
6 0
4 years ago
A baseball diamond is a square that is 90% on each side. If a player throws the ball from 2" base to home, how
Flura [38]

Answer:

45 ft

Step-by-step explanation:

if each side is 90% and 2nd base is half way you divide 90 by 2

5 0
3 years ago
Find the 61st term of -12, -28, -44,
Citrus2011 [14]

Answer:

a_{61}=-972

Step-by-step explanation:

<u>Arithmetic Sequences</u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

a_n=a_1+(n-1)r

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the first terms of a sequence:

-12, -28, -44,...

Find the common difference by subtracting consecutive terms:

r = -28 - (-12) = -16

r = -44 - (-28) = -16

The first term is a1 = -12. Now we calculate the term n=61:

a_{61}=-12+(61-1)(-16)

a_{61}=-12-60*16=-12-960

\mathbf{a_{61}=-972}

6 0
3 years ago
13. NBT.4
slava [35]
B 0.05 since the thousandth digit is higher than 5, it needs to be rounded up.
7 0
3 years ago
What is the factored form of x^12y^18 +1
White raven [17]
Your answer is in the image

8 0
3 years ago
Read 2 more answers
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