All categories

3 years ago

What is (4x^3+27x^2+45x)/9x

Mathematics

1 answer:

kvasek [131]3 years ago

3 0

$x^{4}$ Answer:

3 $x^{3}$ + $x^{2}$ - 2x times 1

You might be interested in

Solve for x: log2(8)=x

Kitty [74]

X=16log i’m guessing not sure:)

4 0

4 years ago

The equation, y = (1/4)x, is an example of what kind of variation?

lakkis [162]

Answer:

I would stay direct vartation

Step-by-step explanation:

For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

3 0

3 years ago

Likurg_2 [28]

Answer: 41,224

Step-by-step explanation:

4 0

3 years ago

Please help me , I have been try to solve it for 2 hours. thank you very much.

Alexxandr [17]

Answer:

See the three answers with their explanation below

Explanation:

a. To eliminate the fraction from each side you multiply both sides by the least common denominator of the fractions of the two sides.

In this case it is 2×3 = 6

See how you do it:

$6\times \frac{1}{2}(x-4)=6\times \frac{1}{3}x+6\times 2\\ \\ 3(x-4)=2x+12$

b. This word problem would lead to the given equation:

Half the age of Alice 4 years ago equals 2 more than one third of her current age.

Current age: x
Age four years ago: x - 4
Half the age of Alice four years ago: $\frac{1}{2}(x-4)$

2 more than one third of her current age: $2+\frac{1}{3}x=\frac{1}{3}x+2$

Equality condition:

$\frac{1}{2}(x-4)=\frac{1}{3}x+2$

c. Solution

$\frac{1}{2}(x-4)=\frac{1}{3}x+2\\ \\ 3(x-4)=2x+12\\ \\ 3x-12=2x+12\\ \\ x=24$

Meaning: Alice is currently 24 years old.

3 0

4 years ago

Let g(x) = log7 (x), find g ¹(0)

klasskru [66]

Step-by-step explanation:

The derivative of log is

$\frac{d}{dx} ( log_{a}(x) ) = \frac{1}{x \: ln(a) }$

You can easily derive this using the Change of base rule, and natural log rules

$log_{a}(x) = \frac{ log_{e}(x) }{ log_{e}(a) } = \frac{ ln(x) }{ ln(a) }$

Next, we differentiate with respect to x.

$\frac{d}{dx} \frac{ ln(x) }{ ln(a) } = \frac{1}{ ln(a) } \times \frac{d}{dx} ln(x)$

$= \frac{1}{x ln(a) }$

So back to the topic at hand,.

a=7, so we get

$\frac{1}{x ln(7) }$

We plug in 0, we would get undefined

6 0

2 years ago