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Masja [62]
3 years ago
6

144 coins are divided equally among some

Mathematics
2 answers:
Blizzard [7]3 years ago
7 0

Answer:

12

Step-by-step explanation:

Consider the number of children to be 'x'

So, 144 coins were divided among 'x' children

For x-3 children, each child would have 16 coins

So now, solve the equation (x-3)*16=144

Solving for x:

(x-3)*16=144

x-3=\frac{144}{16}

x-3=9

x=9+3

x=12

Therefore, there are 12 children.

nalin [4]3 years ago
3 0

Answer:

Consider the number of children to be x.

So, 144 coins were divided amongst x children.

For x-3 children, each child would have 16 coins

So, (x-3)*16=144

Solving for x, x-3=144/16

or x-3=9

or x=9+3=12

Answer is 12

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Consider the functions f(x) = 3x2, g(x)=1/3x , and h(x) = 3x. Which statements accurately compare the domain and range of the fu
Genrish500 [490]

Answer:

all of the functions have a unique range ⇒ answer 1

Step-by-step explanation:

* Lets revise how to find the domain and the range of the function

- The domain is all values of x that make the function defined

- The range is the set of all output values of a function

∵ f(x) = 3x²

- It is a quadratic function

- There is no values of x make this function undefined

∴ The domain of f(x) is all real numbers

- To find the range calculate the vertex of the function

∵ f(x) = ax² + bx + c

∵ f(x) = 3x²

∴ a = 3 , b = 0 , c = 0

∵ h = -b/2a

∴ h = 0/2(3) = 0/6 = 0

∵ k = f(h)

∴ k = f(0) = 3(0)² = 0

∴ The vertex of the cure is (0 , 0)

∵ k is the minimum value of the parabola

∴ The range of f(x) is all real numbers greater than or equal

  to zero ⇒ (1)

∵ g(x) = 1/3x

- It is a rational function

- to find the values of x which make the function undefined equate

 the denominator by 0

∵ 3x = 0 ⇒ divide both sides by 0

∴ x = 0

∴ The domain of g(x) is all real numbers except zero

∵ We can not put x = 0, then there is no value of g(x) at x = 0

∴ The range of the g(x) is all real number except zero ⇒ (2)

∵ h(x) = 3x

- It is a linear function

∵ There is no values of x make this function undefined

∴ The domain of h(x) is all real numbers

∴ The range of h(x) is all real numbers ⇒ (3)

* From (1) , (2) , (3) the answer is

 all of the functions have a unique range

# Look to the attached graph to more understand

The red graph is f(x)

The blue graph is g(x)

The green graph is h(x)

8 0
3 years ago
Read 2 more answers
How do I work this problem-×+6×=10
timofeeve [1]

Answer:

add -x to 6x to get 5x then divide by 5 to get 2 x is 2

Step-by-step explanation:hope this helps god bless

4 0
3 years ago
Read 2 more answers
Please hurry.
Pie

Answer:

3i-1

Step-by-step explanation:

2+3i-3

3i-1

4 0
3 years ago
A DVD player with a list price of $100 is marked down
dsp73

Answer:

$56

Step-by-step explanation:

100 - (100(0.30)) = 100 - 30 = 70

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5 0
3 years ago
What 2 numbers add to get 2 and multiply to 4
rusak2 [61]
Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4

first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x=\frac{ -b+/-\sqrt{b^{2}-4ac} }{2a} so

1x^2-2x+4=0
a=1
b=-2
c=4
x=\frac{ -(-2)+/-\sqrt{(-2)^{2}-4(1)(4)} }{2(1)}
x=\frac{ 2+/-\sqrt{4-16} }{2}
x=\frac{ 2+/-\sqrt{-12} }{2}
we have \sqrt{-12} and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x=\frac{ 2+/-2\sqrt{-3} }{2}
i=\sqrt{-1}
x=\frac{ 2+/-2i\sqrt{3} }{2}
x=1+/-i\sqrt{3}
x=1-i\sqrt{3} or x=1+i\sqrt{3} (those are the 2 numbers)

 





6 0
3 years ago
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