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evablogger [386]
3 years ago
11

Three brothers have ages that are consecutive odd integers. The difference between the age of the oldest and twice the age of th

e youngest is twenty-four less than the middle brother's age Find their ages.
Mathematics
1 answer:
Genrish500 [490]3 years ago
6 0

N, N+2, and N + 4 are the ages


(N + 4) - (2N) = (N + 2) -24


4 - N = N - 22


2N = 26

N = 13

The brothers are 13, 15, and 17 years old.

HOPE THIS HELPS!!

PLEASE GIVE ME BRAINLIEST!!

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Marizza181 [45]

Answer:

A. y = (x - 12)/3

B. See below

C. -2

Step-by-step explanation:

In general, to find the inverse of an equation like this, all you have to do is swap the x and y variables then solve for y.

First, replace "f(x)" with y... y = 3x + 12

Next, swap x and y... x = 3y + 12

Now, solve for y. You should get y = (x - 12)/3, and this is the inverse of f(x) = 3x + 12. Since the inverse is a different equation, you can rename "y" to be "g(x)" to help with part B.

Composite functions just mean you take one and plug it into the other. With inverses, plugging the functions into one another should return just x. In this case, you can take g(x) and plug it into f(x); so you can find f(g(x)).

Replace every instance of x with g(x). f(g(x) looks kind of weird, but it functions the same as every other function; you just plug something in and get something out.

f(g(x)) = 3[(x - 12)/3] + 12

Simplify; cancel out the 3s, add 12 and -12. What's left? x. This is how you know these two functions are inverses of one another. To help yourself visualize, plug them into a graphing calculator and see what inverses like compared to one another so you can understand how they behave graphically!

For part C, all you have to do is plug -2 into g(x) first, then plug the result of that into f(x). Try it on your own. g(-2) should give you -14/3, and when you plug that into f(x), you should end up with -2.

For the domain, you should recognize that both the inverse and the original function are linear. There are no square root symbols, logarithms, or variables in the denominators that would limit the domain (i.e. when you have x - 3 as the denominator, so you know you can't plug in 3 because it will give you 0 and you can't divide by zero). Since there's nothing to mess up the domain, it's all real numbers.

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3 years ago
A merchant is bagging potatoes that he will sell for 5$ a bag. He wants to take in at least 400$ for them. How many bags should
Kitty [74]

400 divided by 5 = 80.

Needs to bag at least 80.

7 0
3 years ago
Can you plz help me with this 2.25f+5=13.5f+14​
Aleks [24]

Answer:

F=10

Step-by-step explanation:

Add 13.5 and 14 to get 27.5.

2.25f+5=27.5

Subtract 5 from both sides.

2.25f=27.5−5

Subtract 5 from 27.5 to get 22.5.

2.25f=22.5

Divide both sides by 2.25.

f=  

2.25

22.5

​  

 

Expand  

2.25

22.5

​  

=10 by multiplying both numerator and the denominator by 100.

f=  

225

2250

​  

 

Divide 2250 by 225 to get 10.

f=10

4 0
3 years ago
To get ready for snack time, Joseph is putting together dishes of yogurt with fruit in them. He has five cups of strawberries. H
I am Lyosha [343]

Answer:

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<u>Divide the total number of cups by the number required for each dish:</u>

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5 0
2 years ago
Read 2 more answers
2 questions ples answer
OverLord2011 [107]
1. We are given:
a^2 = 64

The only a which squared gives you 64 is 8. The perimeter of an 8 by 8 square will be 32. Half of that is 16. Now, let's see what we can do. We can set up:
4a = 16

Obviously, each side length has to be 4. So, the area of this square will be 16 units².

2. Let n equal her son's age. So, her age right now will be (S = her age):
S = 18n
1 year ago it was:
S-1 = 3n

We have 2 equations, let's substitute. We can rewrite this as:
18n-1 = 3n
Solve for n:
15n-1=0
n= \frac{1}{15}

We know the value of n, which is her son's age. So, her son is 1/15 of a year old or about 24 days old. 

8 0
4 years ago
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