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3 years ago

Help me please 100 points!!

Mathematics

2 answers:

yarga [219]3 years ago

8 0

If function and inverse be

$\\ \rm\longmapsto f(x)\:and\:f^{-1}(x)$

Both will seem to be opposite and similar .

Look at the first one

It is showing like 1 is function and other one is its inverse(Attachment )

Hence 1st one is the answer

Aleksandr [31]3 years ago

4 0

Answer:

The answer is in above

#CarryOnLearning

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Let a= x^2 +4. Rewrite the following equation in terms of a and set it equal to zero. (x^2+4)^2+32=12x^2+48 what are the solutio

Umnica [9.8K]

Just replace x^2+4 with a
factor out on left side
(x^2+4)^2+32=12(x^2+4)
replace x^2+4 with a
a^2+32=12a
minus 12a both sides
a^2-12a+32=0
solve
factor
what 2 numbers mulitply to get 32 and add to get -12
-4 and -8
(a-4)(a-8)=0

set each to zero
a-4=0
a=4

a-8=0
a=8

remember
a=x^2+4
so

4=x^2+4
0=x^2
0=x

8=x^2+4
4=x^2
+/-2=x

x=-2, 0, 2

5 0

3 years ago

a particular city had a population of 24,000 in 1900 and a population of 29,000 in 1920. Assuming that its population continues

DerKrebs [107]

Answer:

It will have a population of 61,779 in 2000.

Step-by-step explanation:

The population for the city, in t years after 1900, can be modeled by a exponential function with constant growth rate in the following format:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the population in 1900 and r is the growth rate.

Population of 24,000 in 1900

This means that $P(0) = 24000$

Population of 29,000 in 1920.

1920 is 1920 - 1900 = 20 years after 1900.

This means that P(20) = 29000. So

$P(t) = P(0)(1+r)^{t}$

$29000 = 24000(1+r)^{20}$

$(1+r)^{20} = \frac{29000}{24000}$

$\sqrt[20]{(1+r)^{20}} = \sqrt[20]{\frac{29000}{24000}}$

$1 + r = 1.0095$

$P(t) = P(0)(1+r)^{t}$

$P(t) = 24000(1.0095)^{t}$

What population will it have in 2000

2000 is 2000 - 1900 = 100 years after 1900. So this is P(100).

$P(t) = 24000(1.0095)^{t}$

$P(100) = 24000(1.0095)^{100} = 61779$

It will have a population of 61,779 in 2000.

4 0

3 years ago

Tom Hornet purchases $7,000 of ten-year term life. He is 31 years old

attashe74 [19]

The annual premium is 5.07 x 7 = 35.49
The quarterly premium is 35.49 x .26 = 9.23
And the difference between the two payment options is 1.43
(Use the table in the question, it has all the information you need).

5 0

3 years ago

Read 2 more answers

100 points and brainliest A sports club has 84 members who learned baseball, and 42 of those members also learned basketball. Th

vampirchik [111]

Answer: The answer is C. C in your given options.

Step-by-step explanation:

Learn baseball Do not learn baseball Total

Learn basketball 0.63 0.37 1

Do not learn basketball 0.84 0.16 1

Total 0.72 0.28 1

3 0

3 years ago

Read 2 more answers

Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a

zmey [24]

Answer:

0.4

Step-by-step explanation:

Given:

Dana found that 8 students earned an A, 6 students earned a B, 4 students earned a C, and 2 students earned a D on the last science test.

To find:

the experimental probability that the student would have earned an A in the test

Solution:

Probability refers to the chances of occurrence of some event.

Number of students who earned an A in the test = 8

Total number of students = 8 + 6 + 4 + 2 = 20

The experimental probability that the student would have earned an A in the test = Number of students who earned an A in the test / Total number of students = $\frac{8}{20}=\frac{2}{5}=0.4$

8 0

3 years ago