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nikitadnepr [17]
3 years ago
10

Solve the following systems of linear equations using any algebraic method. If possible, check your solution.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0
-8x+18y=-12
24x-18y=18
16x=6
X=3/8
Y=3-12)/6
y=-3/2
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4 people can dig a hole in 3 hours. How long does it take 9 people.
ad-work [718]

Answer: 1 hour 20 minutes

<u>Step-by-step explanation:</u>

Let's figure out how long it would take 1 person to dig the hole and then divide that number by 9 (since they are sharing the workload).

\dfrac{1}{4}x=3\qquad \implies \qquad x = 12\quad \text{It takes 12 hours for 1 person}\\\\\\\dfrac{12\ \text{(for 1 person)}}{9\ \text{(people)}}\quad =1\dfrac{1}{3}\quad =\large\boxed{1\ hour\ 20\ minutes}

6 0
3 years ago
Read 2 more answers
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
Help me on this please
steposvetlana [31]
I got you hun!

27= 3x is the equation you will need

27 is the total the coach needs making it the total. Since each pack comes with 3 you will mutiply the amount of pack, or x, by 3. 

X=9 

we know this because if you divide 3 by 27 to get it on the other side we get 9. This means the coach needs to buy 9 packs of baseballs for the team.

27=3(9) 

Hope this helps!


5 0
3 years ago
-5x=3x-24 help me with this problem
adoni [48]

Answer:

x = -3

Step-by-step explanation:

Take the 3x away from the right side.

-5x-3x=-8x

-8x = -24

Divide both sides by 8.

-8x/8 = x

-24/8 = -3

x = -3

7 0
3 years ago
What is the slope of the line?
Strike441 [17]
The slope of the line is 1
7 0
3 years ago
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