Solve for x. Enter the solutions from least to greatest. 6x^2 +1 =487 lesser=x greater=x

Answers

Answer 1

Answer:

(-9, 9)

Step-by-step explanation:

[tex]6x^{2} +1 = 487[/tex]                                             (Given)

       -1       -1                                     (Getting "x" alone)

[tex]6x^{2} = 486[/tex]                                        (Cont. Getting "x" alone)

÷6      ÷6                                                           ↓

[tex]x^{2} = 81[/tex]                                                              ↓

[tex]\sqrt{x} ^2 = \sqrt{81}[/tex]                           (9 and -9 squared are both equal to 81)

↓             ↓                                                        ↓

x = 9      x = -9                                            (Answer)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO


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The packing foam takes up approximately 4.606 cubic feet of space in the larger box.

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Step-by-step explanation:

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Answer:

He gave 46 to Tom

Step-by-step explanation:

He started is 51 notebooks- 15 + 17 + 19 = 51

He then gave some away until he only had 5 left 51 - 5 = 46

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Stephanie will be representing her school at the district track meet in the 200 meter race. She has kept records of her last 5 races. What is the mean absolute deviation of her races? Round your answer to the nearest tenth.RaceTime (seconds)123.6225.1324.8422.9524.2Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

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Step-by-step explanation:

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Step-by-step explanation

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Answers

9514 1404 393

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Step-by-step explanation:

The Pythagorean triple (3, 4, 5) is the only Pythagorean triple that is an arithmetic sequence. It is also the triple with the smallest integers. It is useful to remember this triple, as it is seen a lot in algebra, geometry, and trig problems.

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__________________________________________________________

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Answers

Answer:

The nth bounce a sub n is 0.25 (a sub n-1)

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  Recursive formula of the sequence[tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]

  Explicit formula of the sequence → [tex]T_1=10240, \\T_{n+1}=T_n(0.25)[/tex]

  Height of the ball after 8th bounce will be 0.625 cm.

Geometric sequence and its explicit and recursive formula,If a sequence is in the form of [tex]ar,ar,ar^2,ar^3.....[/tex] n terms,

        Sequence will be the geometric sequence and the explicit formula

        of the sequence will be,

        [tex]T_n=ar^{n-1}[/tex]

        Here, [tex]a=[/tex] First term

        [tex]r=[/tex] Common ratio

        [tex]n=[/tex] Number of terms

Similarly, recursive formula will be,

        [tex]a=[/tex] First term

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[tex]\frac{T_2}{T_1}=\frac{2560}{10240}=\frac{1}{4}[/tex]

[tex]\frac{T_3}{T_2}=\frac{640}{2560}=\frac{1}{4}[/tex]

Therefore, height of the ball after each bounce will represent a geometric sequence.

Explicit formula of a geometric sequence will be given by the expression,

[tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]

Recursive formula for the sequence will be,

[tex]T_1=10240[/tex]

[tex]T_{n+1}=T_n(\frac{1}{4})[/tex]

By using recursive formula,

Height of the ball after 8th bounce,

[tex]T_8=10240(\frac{1}{4})^{8-1}[/tex]

    [tex]=10240(0.25)7[/tex]

    [tex]=0.625[/tex] cm

      Therefore, explicit formula to represent the height of the ball will be [tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]recursive formula will be, [tex]T_1=10240\\T_{n+1}=T_n(0.25)[/tex]

       And height of the ball after 8th bounce will be 0.625 cm.

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