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salantis [7]
2 years ago
7

a water cooler contained 5.2 liters of water. Some water was added until the cooler contained 22.1 liters of water.

Mathematics
1 answer:
Schach [20]2 years ago
6 0
What is the question?? if it’s “how much water was added” your answer is 16.9 because 22.1-5.2=16.9

Hope this helps :)
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Let f(x)=3x-6 and g(x)=x-2 find f(g(5))-ie. (f • g)(5) and its domain
Molodets [167]

Solution for f(g(5)):


The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:


Step 1: Plugging 5 to g(x)

g(5)=5-2=3


Step 2: Plugging the answer to f(x)

f(3)=3(3)-6=9-6=3


ANSWER: f(g(5)) is equal to 3.


Domain:


For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.


However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.


ANSWER: The domain of the function is all real numbers.

3 0
3 years ago
Solve each equation. Record your work and check your solution. <br> a. 5(x-2)+(-9)= -7(1-x)
Daniel [21]

The solution for equation is x = -6

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

5(x-2) + (-9) = -7(1-x)

We have to solve the equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

Therefore, solve for brackets in given equation

5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x

Solve for terms in left hand side of equation

5x - 19 = -7+7x

Move the variables to one side and constants to other side

7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6

Thus the solution for equation is x = -6

8 0
3 years ago
Jina had 7/8 of a spool of yarn.she used 3/4 of it for her project.What fraction of the spool was used for her project
Sophie [7]

7/8 * 3/4 = 21/32

She used 21/32 of a spool


7 0
3 years ago
Mental Math Situation: You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year? You
Aloiza [94]

Answer:

So 24 hours each month times 12 would be 288 hours of working out of one year.

Hope this helps!

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the slope of (-1, 6) and (2, -3)
Harman [31]

Answer:

Slope = -3

Step-by-step explanation:

Slope of a straight line graph is given by; change in y ÷ change in x

Slope = \frac{-3 - 6}{2 - -1} = \frac{-9}{3} = -3

5 0
3 years ago
Read 2 more answers
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