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4 years ago

Help me out :,( I’m just trying to graduate

Mathematics

2 answers:

sleet_krkn [62]4 years ago

7 0

Answer:

(-6,-5)=> f(x)= x^2-2x-5

(8,11)=> f(x)=3x+5

(3,2)=> f(x)=4-x

(6,28)=> f(x)=(x+5) x^2

Step-by-step explanation:

For f(x)=3x+5

Putting the values of domain one by one:

Putting x=1:

f(x)=3(1)+5

=3+5

Putting x = 2:

f(x)=3(2)+5

=6+5

=11

For function f(x)= x^2-2x-5

Putting x=1:

f(x)=〖(1)〗^2-2(1)-5

=1-2-5

= -6

Putting x=2

f(x)=〖(2)〗^2-2(2)-5

=4-4-5

= -5

For f(x)=(x+5) x^2

Putting x=1

f(x)=(1+5) (1)^2

=6*1

Putting x=2

f(x)=(2+5) (2)^2

=7*4

=28

For f(x)=4-x

Putting x = 1

f(x)=4-1

Putting x=2

f(x)=4-2

So the ranges belonging to the functions when domain is (1,2) are:

(-6,-5)=> f(x)= x^2-2x-5

(8,11)=> f(x)=3x+5

(3,2)=> f(x)=4-x

(6,28)=> f(x)=(x+5) x^2

Masja [62]4 years ago

6 0

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2 years ago

A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found th

AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is $0.551< p < 0.610$

Step-by-step explanation:

From the question we are told that

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The number that believe there was a conspiracy is k = 614

Generally the sample proportion is mathematically represented as

$\^ p = \frac{614}{1057 }$

=> $\^ p = 0.5809$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }$

=> $E = 0.02975$

Generally 95% confidence interval is mathematically represented as

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4 0

3 years ago

Simplify the following expression.

MissTica

Answer:

D. 0.054

Step-by-step explanation:

61.904 - 61.85

= 0.054

Therefore, answer choice D is the correct answer.

6 0

3 years ago

The power P of a jet of water is jointly proportional to the cross sectional area A and to the cube ofthe velocity V. (a) Write

anastassius [24]

Answer:

a) $P=kAV^3$

b) 54

Step-by-step explanation:

If one quantity, A, is jointly proportional to other 2 quantities (B & C), we can write proportionality equation as:

$A=k*B*C$

Where

k is the proportionality constant

Now, for this problem, P is jointly proportional to A and CUBE OF V, so we can write:

$P=kAV^3$

Now velocity, V, is triples, which means it becomes 3V

Also, cross sectional area, A, is doubled, which means it becomes 2A

Let's put these into formula and see the difference:

$P=kAV^3\\P=k(2A)(3V)^3\\P=k(2A)(27V^3)\\P=(2*27)kAV^3\\P=54kAV^3$

So, power is multiplied by a factor of 54. Power becomes 54 times if Area is doubled and velocity is tripled ( as seen ).

8 0

3 years ago

What is 0.523 divided by 10 exponent 2 ?

vodka [1.7K]

Same as 0.532/100 =0.00532

8 0

4 years ago