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3 years ago

F(x)=3x+5/x, what is f(a-2)

Mathematics

1 answer:

grin007 [14]3 years ago

8 0

Replace x with the binomial a - 2.

f(a - 2) = [3(a - 2) + 5]/(a- 2)

f(a - 2) = [3a - 6 + 5]/(a - 2)

f(a - 2) = [3a - 1]/(a - 2)

f(a - 2) = (3a - 1)/(a - 2)

Done.

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Given the points (2,k) and (0,−6), for which values of k would the distance between the points be 5–√ ?

natka813 [3]

The value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5

<h3>What is a distance formula?</h3>

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

$\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The question is:

Given the points (2,k) and (0,−6), for which values of k would the distance between the points be √5

$\rm \sqrt{5}=\sqrt{(0-2)^2+(-6-k)^2}$

5 = 4 + (6 + k)²

After solving:

$\rm 4+\left(6+k\right)^2-4=5-4$

(6 + k)² = 1

k = -5 or -7

Thus, the value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5

Learn more about the distance formula here:

brainly.com/question/18296211

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8 0

2 years ago

Which of the following is least likely to be an advantage of scientific models?

Nutka1998 [239]

Answer:

send one

the second one boi

Step-by-step explanation:

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6 0

3 years ago

Wesleys mother is 57 years old. her age is three years more than twice edwins age. what is wesleys age?

natita [175]

Answer: Edwin is likely a typo for Wesley.

Step by step:

Wmom=57

Wmom=3+2e

57=3+2e

54=2e

27=e

Edwin is 27 years old.

Aside from a typo, one can speculate on Wesley's age. He's likely between 20 and 39 years old based on his mother's age. If you want to delve into societal norms, Wesley is likely to be a name from a white middle to upper class parentage, so it's less likely he was had when his mother was a teen, or even in her early twenties because college, so move that age zone to 20 to 34. Then consider that having children later than 35 is consideration for a "risky" pregnancy and most women are urged to aim for before 33, but most upper middle class white women will be pressured to baby before 30. So, adjust Wesley's age zone to 27 to 34. And then...idk. But in all honesty I think Edwin is meant to be Wesley, because it's a math problem not a sociology one.

7 0

4 years ago

PLEASE HELP

Inessa [10]

Answer:

the measure of the missing length is 3 mi

Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a g

Natasha2012 [34]

Answer:

(A) $y=-0.762+0.119x$

(B) If a country increases its life expectancy, the happiness index will increase.

(C) If the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D) If the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

Step-by-step explanation:

A regression analysis was performed to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).

The output of the regression analysis are as follows:

a = -0.762

b = 0.119

r² = 0.8649

r = 0.93

(A)

The equation of the Least Squares Regression line of the form y = _ + _ x is:

$y=-0.762+0.119x$

(B)

The correction between the variables happiness index (y) and life expectancy in years of a given country (x) is, 0.93.

The correlation coefficient is positive. This implies that there is a positive relation between the two variables, i.e. as the value of life expectancy in years increases the happiness index also increases.

Thus, if a country increases its life expectancy, the happiness index will increase.

(C)

Compute the value of y for x = x + 3.5 as follows:

$y=-0.762+0.119x$

$=-0.762+0.119\times (x+3.5)\\\\=(-0.762+0.119x)+0.4165\\\\=y+0.4165$

Thus, if the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D)

Compute the value of y for x = 67 as follows:

$y=-0.762+0.119x$

$=-0.762+0.119\times 67\\\\=-0.762+7.973\\\\=7.211\\\\\approx 7.21$

Thus, if the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

6 0

4 years ago