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3 years ago

Simplify the following expression log(x^2)-log(x)

Mathematics

1 answer:

Murrr4er [49]3 years ago

3 0

Answer:log a - log b = log (a/b) than use this formula will get

log x^2 -log x = log (x^2 /x) = log x

so answer is log x

Step-by-step explanation:

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If f(x) = x2 + 7x and g(x) = 3x - 1, what is f(g(x))?

Burka [1]

Answer:

f(g(x)) = 9x^2 + 15x - 6

Step-by-step explanation:

We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.

Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:

f(g(x)) = (3x - 1)^2 + 7(3x - 1).

If we multiply this out, we get:

f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or

f(g(x)) = 9x^2 + 15x - 6

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3 years ago

A baseball is thrown at an angle of 30° with respect to the ground and it reaches the ground in 2 seconds. What is its initial v

NeTakaya

Answer:

The answer to your question is vo = 19.62 m/s

Step-by-step explanation:

Data

angle = α = 30°

time = t = 2 s

vo = ?

g = 9.81 m/s²

Formula

$t = \frac{2vosin\alpha}{g}$

Solve for vo

$vo = \frac{tg}{2sin\alpha}$

Substitution

$vo = \frac{(2)((9.81)}{2sin 30}$

Simplification

$vo = \frac{19.62}{2(0.5)}$

$vo = \frac{19.62}{1}$

Result

vo = 19.62 m/s

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3 years ago

What is the circumference of a circle if the radius is 3.5 meters?

musickatia [10]

Answer:

The answer would be 21.99

Hope this helps :)

Step-by-step explanation:

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Svetllana [295]

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