if 3 times a number added to 2 is divided by the number plus 9 the result is 5 halves. find the number

Answers

Answer 1

Answer:

2/7

Step-by-step explanation:

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What is the range of the given function? {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

Answers

Answer:

The range of the function is {-9, -3, 0, 5, 7}

Step-by-step explanation:

The range of a function is the set of all possible values of outputs of a function,

Here, the given function is,

{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)},

Where, output values are 0, -3, -9, 5, 7,

Since, the set of the output values {-9, -3, 0, 5, 7 },

Which is the required range of the given function.

The range of given function is {-9, -3, 0, 5, 7}.

Further explanation

Given that {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)} is a relation since it is a set of ordered pairs.

Note that a and b are any two any elements, (a, b) is called an ordered pair where a is the first component and b is the second component.

The relation is a set of ordered pairs.
The domain is the set of all the first components of the ordered pairs.
The range is the set of all the second components of the ordered pairs.

We can conclude that:

its domain is {-5, -4, -2, 0, 2}
its range is {-9, -3, 0, 5, 7}

See the attachment for details.

Notes:

A function f is a rule that assigns to each element x in set A exactly one element y or f(x) in set B. Set A is called the domain and set B is called the range of the function f.

The relation above is represented by a list. This relationship can also be represented by the following:

a table
a map
a graph

Learn more

What are the domain and range of the function f(x) = 3x + 5? brainly.com/question/3412497
Determine the following pairs of functions that inverse of each other. brainly.com/question/4620451
Determine the domain of the composite function brainly.com/question/3852778

Keywords: what is the range of the given function, {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}, domain, set, elements, ordered pairs, first components, second, represented by a list, a table, a map, a graph

9c-12-15c-8-3c=9c+12+-15c+-8+-3c

Answers

What do you need help on?

-9c-20

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Jane has been growing two bacteria farms. Bacteria farm Rod has a starting population of 2 bacteria, while Bacteria farm Sphere has a starting population of 8 bacteria. However, Jane starts growing Rod five hours before she starts growing Sphere. At 8 p.m., Jane checks her farms and finds that they have the exact same population. If the population of Rod doubles every hour, but the population of Sphere is quadrupled every hour, how many hours ago did she start growing Sphere?

Answers

Answer: Jane started growing Sphere 3 hours ago

Step-by-step explanation:

Farm Rod starting population (Rsp) = 2

Farm Sphere starting population (Ssp) = 8

Let´s name "Rh" the quantity of hours since Rod started growing, and

"Sh" the quantity of hours since Sphere started growing.

And, let´s name "R" the population of farm Rod at 8 p.m. and "S" the population of farm Sphere at 8 p.m.

Population of Rod doubles every hour, therefore:

R = $Rsp * 2^(Rh)$

R = $2(2^(Rh))$

Population of Sphere is quadrupled every hour, therefore:

S = $Ssp * 4^(Rh)$

S = $8(4^(Rh))$

At 8 p.m. Jane found that R = S

Therefore, at 8 p.m:

$2(2^(Rh))$ = $8(4^(Sh))$

dividing both sides by 2

$2^(Rh) =4(4^(Sh))$

adding exponents

$2^(Rh) = 4^(Sh+1)$

$2^(Rh) =2^{2^(Sh+1) }$

the bases are the same; exponents must be the same

Rh = 2Sh + 2 (equation 1)

And we also know that Jane started growing Rod five hours before Sphere:

Rh = Sh + 5 (equation 2)

Replacing equation 2 into equation 1:

(Sh + 5) = 2Sh + 2

5 - 2 = 2Sh - Sh

3 = Sh, or

Sh = 3

Jane started growing Sphere 3 hours ago.

Find the student’s error in solving the following inequality.2 < –3x –4 < 5
6 < –3x < 5
–2 > x > –5/3

a.The student should have added 4 to all parts (left, middle, and right) to get 6 < –3x < 9.

b.The student divided 6/–3 incorrectly.

c.The student should not have switched the direction of the sign in the final step.

Answers

The second step is wrong because he did not add 4 to the number 5. Then the correct option is A.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The solution to inequality is given below.

Step 1 ⇒ 2 < –3x –4 < 5

Step 2 ⇒ 6 < –3x < 5

Step 3 ⇒ –2 > x > –5/3

The student should have added 4 to all parts (left, middle, and right) to get 6 < –3x < 9.

The second step is wrong because he did not add 4 to the number 5. Then the correct option is A.

More about the inequality link is given below.

brainly.com/question/19491153

#SPJ2

the answer is a, the students should have added 4 to all parts

What is the answer to this problem... f(x)3x+7=

Answers

There really isn't a answer. Let me explain, this is a function. A function shows what operation you have to do to get a y value or any kind of value. Whenever it has a f(x) or any variable in the 'x' part you will automatically know that it's a function. So what you do is substitute any number for the variable that's there, any number, whether it's 100 or 1. So in this case a x is what we have to put in a substitute for. So let's try 1. 1x3 = 3, 3+7 is 10. So the function of x for 1 is 10. Now keep doing that and you'll get numbers which will turn into points in a graph (when we substituted in a 1 and got a result that's the y value) and that's the "answer".

Mike reads 5 pages an hour the independent variable is time what is the dependent variable

Answers

The number of pages Mike read

If the independent variable is time

however

The dependent variable will be the amount of pages he reads

I hope that's help:0

Please rate my answer :)

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