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arlik [135]
3 years ago
6

Evaluate the function. f(x) = -x^2 Find f(-5)

Mathematics
1 answer:
mina [271]3 years ago
4 0
1) plug -5 in for the place of x.
2) solve -(-5)^2
3) f(-5)=25
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A sequence {an} is defined recursively, with a1 = 1, a2 = 2 and, for n > 2, an =
Licemer1 [7]
I think you mean a_n= \frac{a_{n-1}}{a_{n-2}}
basically that measn yo divide that term by the previous term
ok

a3=a1/a2=1/2
a4=a3/a2=(1/2)/2=1/4
a5=a4/a3=(1/4)/(1/2)=1/2
a6=a5/a4=(1/2)/(1/4)=2
a7=a6/a5=2/(1/2)=4
a8=a7/a6=4/2=2
a9=a8/a7=2/4=1/2
a10=a9/a8=(1/2)/2=1/4
ok, so notice a pattern
a3=a9
a4=a10
I therefor conclude that a_n=a_{n+6w} where w is a whole number
and n>2ok, so
241=6*39+7
so therefor
a_{241}=a_{7+6(39)}
therefor the 241th term is same as a7 or 4

I say a241 is 4
7 0
3 years ago
Read 2 more answers
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capa
Misha Larkins [42]

Answer:

<u>The correct answer is that a student have to score 1.41 standard deviations above the mean to be publicly recognized.</u>

Step-by-step explanation:

For answering the question, we don't know the score mean of the National Financial Capability Challenge Exam and neither the population or number of students who take the exam. The only information provided is that the public recognition in this normal distribution is only for students that scores in the top 8%. In other words for students above 92% of the population.

With this information, we can go to a Z Score Table and check that for being on the top 8% (above the 92% of any population), your result must be 1.405 standard deviations above the mean.

<u>Rounding the answer to 2 decimal places, it's 1.41 standard deviations above the mean.</u>

7 0
3 years ago
The value of your father’s car when bought was $30,000. If it loses 10% of its value every year, how long until the vehicle is o
Anvisha [2.4K]

Answer:

6.7

Step-by-step explanation:

10% of 30000

10/100 x 30000

0.10 x 30000

=3000

In order to find how long you have to divide 20k with 3k

20000/3000 = 6.66666667

Round it up and you get 6.7

6 0
3 years ago
Help asap will give brainliest!!!!
GarryVolchara [31]

Answer:

C

Step-by-step explanation:

ley y = f(x) and rearrange making x the subject

y = \frac{1}{x+5} - 1 ( add 1 to both sides )

y + 1 = \frac{1}{x+5} ( multiply both sides by (x + 5)

(y + 1)(x + 5) = 1 ← expand factors using FOIL

xy + 5y + x + 5 = 1 , that is

xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )

x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side

(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )

x + 5 = \frac{1}{y+1} ( subtract 5 from both sides )

x = \frac{1}{y+1} - 5

Change y back into terms of x with x = f^{-1} (x) , then

f^{-1} (x) = \frac{1}{x+1} - 5 where x ≠ - 1

7 0
3 years ago
Write the value of the expression 2^3/2^3
kiruha [24]

Answer:

1

Step-by-step explanation:

\frac{2^3}{2^3}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\=2^{3-3}\\2^{3-3}=1\\2^{3-3}\\\mathrm{Subtract\:the\:numbers:}\:3-3=0\\=2^0\\\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0\\=1

6 0
3 years ago
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