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3 years ago

4= 6/a + 5 solve for x

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

6 0

Answer:

a=-6

Step-by-step explanation:

4= 6/a + 5

Subtract 5 from each side

4-5= 6/a + 5 -5

-1 = 6/a

Multiply by a on each side

-1*a = 6/a *a

-a =6

Multiply by -1

a= -6

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Which of the following is the best example of a characteristic of an experiment?

Andreyy89

The answer to this question should be: Participants should be selected into the treatment group randomly.

In an experiment, the participant is given an intervention and it hoped to change a parameter. In every experiment, you must ask the participant permission so they must be aware of the experiment. Since this is an experiment, the researcher is allowed to do something that changes the participant behavior as long as it is intentional for the research. The experiment questionnaire should be given to the participant, not the population.
By putting the participant randomly, you can minimize confounding factor from the participant.

5 0

3 years ago

PLZ HELP THIS IS TIMED!!!!

mihalych1998 [28]

Answer:

For the sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

Hence the formula $f(x)=-\frac{2}{3}(6)^{x-1}$ for x=1,2,3,... represents the given geometric sequence

Step-by-step explanation:

Given sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

To find the formula to describe the given sequence :

Let $a_1=\frac{-2}{3}$ , $a_2=-4$ , $a_3=-24$ ,...

First find the common ratio

$r=\frac{a_2}{a_1}$ here $a_1=\frac{-2}{3}$ and, $a_2=-4$

$=\frac{-4}{\frac{-2}{3}}$

$=\frac{4\times 3}{2}$

$=\frac{12}{2}$

$r=6$

$r=\frac{a_3}{a_2}$ here $a_2=-4$ and $a_3=-24$

$=\frac{-24}{-4}$

$=6$

$r=6$

Therefore the common ratio is 6

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is

$a_n=a_1r^{n-1}$

The formula which describes the given geometric sequence is

$f(x)=a_1r^{x-1}$ for x=1,2,3,...

$=\frac{-2}{3}6^{x-1}$ for x=1,2,3,...

Now verify that $f(x)=a_1r^{x-1}$ for x=1,2,3,... represents the given geometric sequence or not

put x=1 and the value of $a_1$ in $f(x)=a_1r^{x-1}$ for x=1,2,3,...

we get $f(1)=-\frac{2}{3}(6)^{1-1}$

$=-\frac{2}{3}(6)^0$

$=-\frac{2}{3}$

Therefore $f(1)=-\frac{2}{3}$

put x=2 we get $f(2)=-\frac{2}{3}(6)^{2-1}$

$=-\frac{2}{3}(6)^1$

$=-\frac{12}{3}$

Therefore $f(2)=-4$

put x=3 we get $f(3)=-\frac{2}{3}(6)^{3-1}$

$=-\frac{2}{3}(6)^2$

$=-\frac{2(36)}{3}$

Therefore $f(3)=-24$

Therefore the sequence is f(1),f(2),f(3),...

Therefore the sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

Hence the formula $f(x)=a_1r^{x-1}$ for x=1,2,3,... represents the given geometric sequence is verified

Therefore the formula $f(x)=-\frac{2}{3}(6)^{x-1}$ for x=1,2,3,... represents the given geometric sequence

7 0

3 years ago

Read 2 more answers

A rectangular family room is 18 feet long and 14 feet wide.

Firlakuza [10]

Answer:

4 pieces of chair rail are needed

Step-by-step explanation:

Step 1: Calculate the perimeter of the room

Perimeter of rectangle = 2L + 2B

Length = 18

Breadth = 14

Perimeter of room = 2(18) + 2(14)

Perimeter of room = 64 feet

Step 2: Calculate the pieces of chair rail needed

Perimeter of room = 64 feet

Length of each chair rail = 16 feet

Total chair rails needed = Perimeter of room/length of each chair rail

Total chair rails needed = 64/16

Total chair rails needed = 4

Therefore, Mr. Herzog needs 4 pieces of chair rails.

5 0

3 years ago

Pls help!!!!!!!

mr Goodwill [35]

Answer:

im not smart :D

Step-by-step explanation:

sorry no can do

6 0

2 years ago

What is the answer of 4/13÷3/5

vredina [299]

Answer:

4/13 ÷ 3/5

4/13 × 5/3

4 × 5 / 13 × 3

20/39

5 0

2 years ago

Read 2 more answers