Question

1 1/16(4x − 16) −7 1/3(x − 6) при x = 4,2.

Answer 1

Ответ:

$\frac{11}{16} \times (4 \times 4.2 - 16) - 7 \times \frac{1}{3} (4.2 - 6) = \frac{11}{16} \times (16.8 - 16) - \frac{22}{3} \times ( - 1.8) = \frac{11}{16} \times 0.8 - \frac{22}{3} \times ( - 1.8) = \frac{11}{16} \times \frac{4}{5} + 22 \times \frac{3} {5} = \frac{11}{4} \times \frac{1}{5} + \frac{66}{5} = \frac{11}{20} + \frac{66}{5} = \frac{11}{20} + \frac{264}{20} = \frac{275}{20} = \frac{55}{4}$

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Answer 2

To evaluate the expression 1 1/16(4x - 16) - 7 1/3(x - 6) for x = 4 and x = 2, we substitute the values of x into the expression and simplify.

Let's start with x = 4:

1 1/16(4x - 16) - 7 1/3(x - 6)

Replacing x with 4:

1 1/16(4(4) - 16) - 7 1/3(4 - 6)

Simplifying the expression inside the parentheses:

1 1/16(16 - 16) - 7 1/3(-2)

Multiplying:

1 1/16(0) - 7 1/3(-2)

0 - 7 1/3(-2)

0 - 7 + 2/3

-7 + 2/3

To express this as a mixed number:

-6 1/3

Now let's evaluate for x = 2:

1 1/16(4x - 16) - 7 1/3(x - 6)

Replacing x with 2:

1 1/16(4(2) - 16) - 7 1/3(2 - 6)

Simplifying the expression inside the parentheses:

1 1/16(8 - 16) - 7 1/3(-4)

Multiplying:

1 1/16(-8) - 7 1/3(-4)

-8 1/16 - 7 1/3(-4)

To express this as a mixed number:

-8 1/16 - 7 4/3

Now, let's simplify further by converting all the fractions to a common denominator:

-8 1/16 - 7 4/3

-8 1/16 - 7(4/3)(16/16)

-8 1/16 - 112/16

To combine the terms:

-9 113/16

Therefore, when x = 4, the expression evaluates to -6 1/3, and when x = 2, the expression evaluates to -9 113/16.