What is -2 2/3 divide by -1/2

Mathematics

2 answers:

tamaranim1 [39]3 years ago

8 0

Answer:

16/3

Step-by-step explanation:

Dmitriy789 [7]3 years ago

4 0

Answer:

5 1/3

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

−8/3 ÷ −1/2

Applying the fractions formula for division,

=−8×2/3×−1

=−16/−3

Simplifying -16/-3, the answer is

=5 1/3

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The graph of f(x) = 1/x^2 is vertically compressed by a factor of 1/2 units , then shifted to the left 5 units and down 4 units.

Keith_Richards [23]

Answer:

G(x) = (1/2)(1/(x +5)^2 -4

Step-by-step explanation:

G(x) = bf(x -h) +k

represents the function f(x) shifted right h units, up k units and scaled vertically by a factor of b. Your problem statement tells you ...

f(x) = 1/x^2, b = 1/2, h = -5, k = -4

so your G(x) is ...

G(x) = (1/2)(1/(x +5)^2 -4

6 0

4 years ago

What is 2 log subscript 5 baseline (5 x cubed) one-third log subscript 5 baseline (x squared 6) written as a single logarithm?

schepotkina [342]

The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].

<h3>What is a logarithm?</h3>

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic expression is given as

$2\log _55x^3 + \dfrac{1}{3} \log _5(x^2 +6)$

We know that formulas

$a \log b = \log b^a\\\\\log a + \log b = \log ab$

Then we have

$\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})$