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Serjik [45]
3 years ago
10

The graph below belongs to which function family?

Mathematics
2 answers:
svet-max [94.6K]3 years ago
6 0
The answer is the last one (absolute value)
I am Lyosha [343]3 years ago
6 0

The graph shown in the diagram belongs to the family of absolute function value.

The parent function f(x)=|x| has the graph (red graph in attached diagram).

Reflect this graph across the x-axis and translate 3 units up to get given graph (see blue graph in attached diagram). The function rule will be g(x)=-|x|+3.

Answer: correct choice is D.

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The sum of twice a number and 9 is 43
Irina-Kira [14]
2x + 9 = 43 This is the equation.
2x = 34 Subtract 9 from both sides.
x = 17 Divide both sides by 2.
6 0
3 years ago
Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books
Oksi-84 [34.3K]

Answer:  The correct option is (A) 120-3w=24;~32.

Step-by-step explanation:  Given that Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read.

We are to find the equation that can be used to determine the number of weeks it will take Raymond to have only 24 books left.

Also, we are to find the number of weeks.

The number of weeks  it will take Raymond to have only 24 books left is represented by 'w'.

We have

number of books read by Raymond is 1 week = 3.

So, number of books read by Raymond is w weeks = 3w.

Since, there are total 120 books on his bookshelf, so the number of books left to read after w weeks will be

120-3w.

According to the given information, we get

120-3w=24\\\\\Rightarrow 3w=120-24\\\\\Rightarrow 3w=96\\\\\Rightarrow w=32.

thus, the required equation is 120-3w=24 and number of weeks is 32.

Option (A) is correct.

8 0
3 years ago
R/3+2=21 solve for r
olchik [2.2K]

Answer:

r=63

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    r/3-(21)=0             r

Simplify   —

           3

r    

 — -  21  = 0

 3     2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

         21     21 • 3

   21 =  ——  =  ——————

         1        3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

7 0
3 years ago
Solve 2 (x + 4) - 10 = 14 step by step
Blababa [14]

Answer:

x=8

Step-by-step explanation:

2(x+4) - 10 =14

distribute the 2       2x +8 -10 +14

simplify                     2x-2=14

add 2                        2x=16

devide by 2               x=8

3 0
3 years ago
Read 2 more answers
Write the product using exponents. 1/5 x 1/5 x 1/5 x 1/5 x 1/5
damaskus [11]

Answer: 1/5 with an exponent of 5.

hope this helps :)

7 0
2 years ago
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