2 years ago

Write as a sum, difference or multiple of logarithms. In(8x) = [ ? ]8+ [ ]x

Mathematics

1 answer:

deff fn [24]2 years ago

8 0

Answer:

In(8x)=[In]8 + [In]x

Step-by-step explanation:

By product rule:

$In(8x)=[In]8 + [In]x$

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V=(24)/3
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Write an expression with a variable m, a coefficient -3, and a constant of 17

Svetlanka [38]

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The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

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2 years ago

Factor the following binomail:<br><br> (2x^4 - 12x^7)

Ann [662]

Hopes this helps:

Answer: 2x^4(1-6x^3)

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