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3 years ago

12

How do you solve this problem

1 answer:

Veronika [31]3 years ago

6 0

First divide 12 by 4 and multiply 2 and 3 squared or 9 giving u a final equation of 5+3+18

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Your company gives you a cell phone plan which allows you 600 minutes to talk per month. So far this month, you have used 330 mi

Evgen [1.6K]

The answer is C) 10x + 330 ≤ 600.
We use the ≤ since you are allowed to use the 600th minute.
When we subtract 330 from both sides, it makes a bit more sense
10x ≤ 270
270 is the number of minutes left your plan since you've already used 330, and you have 10 days left in the month.

3 0

3 years ago

The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+

jekas [21]

Answer:

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

Step-by-step explanation:

$R'(x)=(x+1)\ln(x+1)$

Integrate with respect to $x$ .

$R(x)=$ ∫ $(x+1)\ln(x+1)$ dx

Take $x+1=u$

Differentiate with respect to $x$

$dx=du$

So,

$R(x)=$ ∫ $u\ln(u)\,du$

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

$R(x)=$ $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u^2}{2}\frac{1}{u}\,du$

= $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u}{2}\,du$

Put $u=x+1$

$R(x)= \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}$

To find total revenue from the sale of the first 12 calculators, put $x=12$

$R(x)= \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}$

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

4 0

3 years ago

The domain of a function is always equal to which one of the following options?

Ivanshal [37]

Answer:

all possible input values to the function

Step-by-step explanation:

The domain is the input to the function and the range is the output of the function

3 0

3 years ago

Read 2 more answers

I need help simple explanation if possible

Yuki888 [10]

Answer: X=1

Step-by-step explanation:
The hypotenuse is √2 which means that x²+x²=(√2)² using Pythagoras
Simplify and solve
2x²=2
x²=1
X=√1
X=1

8 0

2 years ago

Which of the following properties justifies the statement 3 • 5 + 3 • 6 = 3 • 5 + 6 • 3?

aniked [119]

Answer: commutative property

Step-by-step explanation:

basically the commutative property of multiplication says that it doesn't matter what order you multiply the numbers, it will all equal the same.

the rule is "ab = ba"; in numbers, this means 6×3 = 3×6

6 0

3 years ago