All categories

3 years ago

Which characteristic is correct for the function

Mathematics

2 answers:

SCORPION-xisa [38]3 years ago

6 0

Answer:

<h2>This is an even function.</h2>

Step-by-step explanation:

$\text{If}\ f(-x)=f(x)\ \text{then}\ f(x)\ \text{is an even function.}\\\\\text{If}\ f(-x)=-f(x)\ \text{then}\ f(x)\ \text{is an odd function.}$

======================================================

$f(x)=-3x^4+7x^2\\\\f(-x)=-3(-x)^4+7(-x)^2=-3x^4+7x^2\\\\f(-x)=f(x)$

JulijaS [17]3 years ago

4 0

Answer:

Even function

Step-by-step explanation:

Both powers of x in f(x) = -3x^4 + 7x^2 are even, so f(x) = -3x^4 + 7x^2 is an even function.

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A software company is releasing one of their products on a CD. The manufacturer charges a $9700 setup fee and $1.25 per CD. Appr

Gre4nikov [31]

Answer:

about 4312

Step-by-step explanation:

You want the total cost for n CDs to be 3.50n.

The manufacturer will charge you 9700+1.25n, so you want these to be equal:

3.50n = 9700 +1.25n

2.25n = 9700 . . . . . . . . subtract 1.25n

n = 9700/2.25 ≈ 4311.111...

Producing 4312 CDs will make the cost per CD slightly less than $3.50.

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Producing 4311 CDs will make the cost per CD be about $3.500058. Producing 4312 CDs will bring it down to $3.499536.

3 0

3 years ago

How much of a radioactive kind of thorium will be left after 14,680 years if you start with

babymother [125]

Answer:

8978 grams

Step-by-step explanation:

The equation to find the half-life is:

$N(t)= N_{0}e^{-kt}$

N(t) = amount after the time <em>t</em>

$N_{0}$ = initial amount of substance

t = time

It is known that after a half-life there will be twice less of a substance than what it intially was. So, we can get a simplified equation that looks like this, in terms of half-lives.

$N(t)= N_{0}e^{-\frac{ln(\frac{1}{2}) }{t_{h} } t}$ or more simply $N(t)= N_{0}(\frac{1}{2})^{\frac{1}{t_{h} } }$

$t_{h}$ = time of the half-life

We know that $N_{0}$ = 35,912, t = 14,680, and $t_{h}$ =7,340

Plug these into the equation:

$N(t) = 35912(\frac{1}{2})^{\frac{14680}{7340} }$

Using a calculator we get:

N(t) = 8978

Therefore, after 14,680 years 8,978 grams of thorium will be left.

Hope this helps!! Ask questions if you need!!

8 0

2 years ago

3 1 - 2.6<br>________<br>0.05<br>

olya-2409 [2.1K]

Work:

$\frac{31 - 2.6}{0.05}$

$\frac{28.4}{0.05}$

Answer:

$567. \frac{}{9}$

6 0

3 years ago

2/3% of what number is 10

cestrela7 [59]

Answer:

10 is 2 / 3% of 1500

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the n?<br> -5 + n/4 = -1

marysya [2.9K]

Step-by-step explanation:

$- 5 + \frac{n}{4} = - 1$

$\frac{n}{4} = - 1 + 5$

$\frac{n}{4} = 4$

Cross multiply

therefore n = 16

Hope this helps

8 0

3 years ago

Read 2 more answers