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lubasha [3.4K]
2 years ago
6

F(x) = x^2 What is g(x)?

Mathematics
1 answer:
iris [78.8K]2 years ago
4 0

9514 1404 393

Answer:

  (c)  g(x) = (x/4)^2

Step-by-step explanation:

The graph of f(x) is expanded horizontally by a factor of 4. That means ...

  g(x) = f(x/4) . . . . transformation for horizontal expansion by 4

  g(x) = (x/4)^2

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How many 4-digit multiples of 21 and 15 are there and 4-digit multiples of either 21 or 15 are there?
salantis [7]

Answer:

943

Step-by-step explanation:

21| 1000

   | ----------

       47 | 13

21-13=8

1000+8=1008

21|9999

  |---------

     476|3

9999-3=9996

1008,1029,...,9996

let n be number of terms

a=1008,d=21,l=9996

9996=1008+(n-1)21

9996-1008=(n-1)21

8988=(n-1)21

n-1=8988/21

n-1=428

n=428+1=429

again 15|1000

            |---------

                66|10

15-10=5

1000+5=1005

15|9999

  | ---------

      666|9

9999-9=9990

1005,1020,...,9990

a=1005,d=15,l=9990

let n be number of terms.

9990=1005+(n-1)15

9990-1005=(n-1)15

8985=(n-1)15

n-1=8985/15

n-1=599

n=599+1=600

21=3×7

15=3×5

L.C.M.=3×5×7=105

105)1000(9

      -945

     ____

         55

105-55=50

1000+50=1050

105)9999(

     -945

   ---------

         549

       - 525

        -------

            24

        -------

9999-24=9975

1050,1155,...,9975

let n be number of terms.

d=105

l=a+(n-1)d

9975=1050+(n-1)105

9975-1050=(n-1)105

8025=(n-1)105

n-1=8925/105

n-1=85

n=85+1=86

so there are 86 multiples of 21 and 15

(A∪B)=A+B-(A∩B)

multiples of 21 or 15=429+600-86=1029-86=943

4 0
3 years ago
What is the range of these areas 595, 675, 720, 910, 1145, 1260
lisov135 [29]

Answer:

665

Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

4 0
3 years ago
Read 2 more answers
A computer depreciates (decreases) in value upon purchase. After each
Mrrafil [7]

Answer:

800 dollars

Step-by-step explanation:

3 0
3 years ago
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What is the expanded form of 132.6
sveta [45]

Answer:

Step-by-step explanation:

100 +30+2+.60 or .6

5 0
4 years ago
There are 35 students in a classroom. The ratio of girls to boys is 2 to 3. How many boys and how many girls are there in the cl
ZanzabumX [31]

Answer:

14 to 21

Step-by-step explanation:

2+3 is 5.

35 ÷5 is 7

2×7 is 14

3×7 is 21

6 0
3 years ago
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