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MatroZZZ [7]
3 years ago
8

5|2x - 3| + 4 = 9 How do you solve this

Mathematics
1 answer:
agasfer [191]3 years ago
3 0

Answer:

x = 2, or x = -1

Step-by-step explanation:

If 2x - 3 is inside the parenthesis (), then the value of x is 2.

If 2x - 3 is inside the absolute value sign, then the value of x will probably be -1.

<u>Solution 1</u>

(10x-15) + 4 = 9

10x -11 = 9

10x = 20    -> x = 2

<u>Solution 2</u> (Not 100% sure)

|10x -15| +4 = 9

10x + 15 +4 = 9

10x + 19 = 9

10x = -10      -> x = -1

Please correct me if I'm wrong.

<u />

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The recursive formula for an arithmetic sequence is an = an - 1 + d.
LekaFEV [45]
If an is a5
and
an-1 is a4

then using your recursive formula for an arithmetic sequence
an=an-1 +d
then
a5=a4+d

now, a4 =6 and common difference "d"  is d=-11
hence
a5=6 -11
6-11= -5


any questions?



3 0
3 years ago
Read 2 more answers
What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest
maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

                 Given diagram is combination of Rectangle and Semi circle.

Step:1

         Res the attachment,

                      Area of given diagram = Area of A + Area of B..............(1)

Step:2

         For A,

         The A section in the given diagram is semi circle,

                     Diameter of semi circle = Total distance - ( 2+3)

                                          ( ∵ 2, 3 are top distance in the given diagram)

                                                             = 10 - 5

                                        Diameter, d = 5 cm

                                             Radius, r = \frac{d}{2}

                                                          r = \frac{5}{2}

                                                         r = 2.5 cm

                                          Area, A_{A}  = \frac {\pi r^{2} }{2}........................(2)

                                                    A_{A}  = \frac {\pi (2.5)^{2} }{2}  

                                                           = \frac {\pi ( 6.25) }{2}

                                                           = \frac{19.63}{2}

                                                     A_{A} = 9.8174 cm^{2}

Step:3

               For B,

               Area of rectangle is,

                                                      A_{B} =lb.....................(3)

              Where, l - Length = 10 cm

                          b - Width = 2 cm

              Equation (3) become,

                                                            = (10)(2)

                                                            = 20

                                    Area of B, A_{B} = 20 cm^{2}

Step:4

               From the equation (1),

                               Area of given diagram = 20+ 9.81747

                                                            Area = 29.817 square centimeters

Result:

            The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

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