All categories

4 years ago

Use the distributive property to simplify -4(6-3y)

Mathematics

1 answer:

denpristay [2]4 years ago

3 0

Answer:

12y-24

Step-by-step explanation:

-4(6-3y)

-24+12y

You might be interested in

Answer the following questions.

serg [7]

39 is <span>312% </span>of 12.5

To find this you just divide 12.5 into 39 which gives you 3.12. To change that to a percentage you multiply by 100 which gives you 312%

7.5 is <span>102% </span>of 7.38

To find this you just divide 7.38 into 7.5 which gives you 1.0162, which I rounded to 1.02. To change that to a percentage you multiply by 100 which gives you 102%

I hope this helped! :)

6 0

3 years ago

Use the definition of the derivative to differentiate f(x)= In x

WINSTONCH [101]

By def. of the derivative, we have for y = ln(x),

$\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac{\ln(x+h)-\ln(x)}{h}$

$\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac1h \ln\left(\frac{x+h}{x}\right)$

$\displaystyle \frac{dy}{dx} = \lim_{h\to0} \ln\left(1+\frac hx\right)^{\frac1h}$

Substitute y = h/x, so that as h approaches 0, so does y. We then rewrite the limit as

$\displaystyle \frac{dy}{dx} = \lim_{y\to0} \ln\left(1+y\right)^{\frac1{xy}}$

$\displaystyle \frac{dy}{dx} = \frac1x \lim_{y\to0} \ln\left(1+y\right)^{\frac1y}$

Recall that the constant e is defined by the limit,

$\displaystyle e = \lim_{y\to0} \left(1+y\right)^{\frac1y}$

Then in our limit, we end up with

$\displaystyle \frac{dy}{dx} = \frac1x \ln(e) = \boxed{\frac1x}$

In Mathematica, use

D[Log[x], x]

5 0

3 years ago

DOES ANYONE KNOWWEW!!!

Finger [1]

Answer:

8.1

Step-by-step explanation:

5 0

3 years ago

Please answer this!

Talja [164]

We have been given that a graph that represents the amount of money in dollars that Tony expects to deposit in his account in terms of the number of years since opening the account.

We are asked to find the rate of change and initial value from our given graph.

We know that initial value is the point, where, graph intersects y-axis that is when x is equal to 0.

We can see that graph starts at 5000 on y-axis, therefore, initial value is $5000.

The rate of change will be equal to slope of line. Let us find slope of line using points (0,5000) and (1,7500).

$m=\frac{7500-5000}{1-0}$