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3 years ago

Which relation is a function? Explain.

Mathematics

1 answer:

Virty [35]3 years ago

6 0

A relation of a function is only if it relates each element in its domain to only one element in the range

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What is the solution to the following equation x^2+5x+7=0

Nat2105 [25]

Answer:

if ypu are looking for the minimum it is ( - 5/2 , 3/4) but if you are looking for the vertical intercept it is ( 0 , 7)

6 0

3 years ago

Set up the characteristic equation, which is given by r2 − 5r − 6 = 0. The roots of this equation are given by r1 = 6 and r2 = −

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

From your characteristic equation, your recursive equation is

$f(n+2) = 5 f(n=1) +6f(n)$

the general solution:

$f(n) = A6^n + B(-1)^n$

The initial conditions are

$f(0) =1 ~~~and~~~ f(1) = 3$

For f(0) = 1, that is

$f(0) = A6^0 + B(-1)^0 = A+ B=1 (*)$

For f(1) = 3, that is

$f(1) = A6^1 + B(-1)^1 = 3$

$6A- B = 3 (**)$

From (*) and (**) you solve for A and B

you have A = 4/7 and B= 3/7

Replace A, B into the general one, you have the particular solution for the given condition

$f(n) = 4/7 *6^n +3/7*(-1)^n$

4 0

4 years ago

There are twelve shirts in your closet, five blue and seven green. Four of the blue shirts and one of the green shirts fit well.

uranmaximum [27]

Answer:

P (blue or too big) = 11 / 12

Explanation:

A two way table permits to represent the situation clearly and find the answser is an easy way.

The two way table is that results from the given information is:

Initial information:

Blue Green Total

Fit well 4 1 ?

Too big ? ? ?

Total 5 7 12

Now by subtraction and addition you can fill the unknown fields:

Blue Green Total

Fit well 4 1 5

Too big 1 6 7

Total 5 7 12

Now, you can see that there are 5 blue and 7 too big shirts, but the total number of them is 5 + 7 - 1 (because one of the too big shirts is also blue).

Then, the number of shirts being blue or too big is 5 + 7 - 1 = 11.

And the probability is :

P(blue or too big) = number of blue or too big / total number of shirts

P (blue or too big) = 11 / 12 ← answer

You can also realize that there is only 1 green shirt that fits well, and that is the only option of not being blue of too big, so 1 /12 is the probability of not being blue or too big, and its complement (being blue or too big) is 1 - 1/12 = 11 / 12.

7 0

3 years ago

A particular country has 60 total states. if the areas of all 60 states are added and the sum is divided by 60, the result is 2

alex41 [277]

A particular country has 60 total states. if the areas of all 60 states are added and the sum is divided by 60, the result is 212 comma 469 square kilometers. determine whether this result is a statistic or a parameter.

Answer: Before solving the given question, let us understand what the parameter and statistic is:

Parameter: Parameter is a number that summarizes data for an entire population. Like Population mean $\mu,$ Population standard deviation $\sigma$

Statistic: Statistic is a number that summarizes data for a sample. Like sample mean $\bar{x},$ sample standard deviation $s$ .

From the given information, we can clearly see that given characteristic describes the population.

Therefore, the option d is correct

d. the result is a parameter because it describes some characteristic of a population. is correct.

7 0

4 years ago

The graph of f(x) = 3x2 – 5x – 22 passes through the point (0, –22) and one of its zeros is (–2, 0). What is the other zero of t

Anna [14]

Step-by-step explanation:

this is your answer....

7 0

3 years ago