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pav-90 [236]
3 years ago
9

(6.2 times 10 exponent -2) times (2 times 10 exponent 6)

Mathematics
1 answer:
Maslowich3 years ago
8 0

Answer:

→(6.2 \times  {10}^{ - 2} ) \times (2 \times  {10}^{6} ) \\ =  (6.2 \times 2) \times ( {10}^{ - 2}  \times  {10}^{6} ) \\ =  12.4 \times  {10}^{( - 2 + 6)}  \\  =12.4 \times  {10}^{4}  =  \boxed{124000}✓

<h3><u>124000</u> is the right answer.</h3>
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Graph the data in the table. Which kind of function best models the data? Write an equation to model the data. quadratic; y = 2.
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Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

d_1=y_2-y_1

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d_2=y_3-y_2

    =0-2.5

    = -2.5

d_3=y_4-y_3

    =2.5-0

    = 2.5

d_4=y_5-y_4

    =10.0-2.5

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2nd difference,

x_1=d_2-d_1

    =-2.5+7.5

    = 5

x_2=d_3-d_2

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x_3=d_4-d_3

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Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

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