Answer:
2
Step-by-step explanation:
there is 2 dots along the line of 17 before 74
hope this helps :)
x is the number of adults and y is the number of children.
x + y = 12
<span>14x + 10y = 140
lets multiply the first equation by -10 and then add it to the second equation:
-10x - 10y = -120
</span>14x + 10y = <span>140
</span>-----------------------
4x + 0 = 20
x = 20/4
x = 5
then substitute in the original equation:
x + y = <span>12
</span>5 + y = <span>12
</span>y = 12 - 5
y = 7
therefore there were 5 adults and 7 children
Answer:
$2,700
Step-by-step explanation:
Let the width of the pasture be x, this means that the length of the pasture will be 2x
The area of a rectangle is L * B
Hence,
x * 2x = 18,000
2x^2 = 180,000
x^2 = 90000
x = 300 meters
This means the length is 600 metres
Now, to get the length of the fence, we need to know the actual perimeter which is 2(L + B)
= 2 ( 300 + 600)
2 * 900 = 1,800 metres
The cost is thus 1,800 * $1.50 = $2,700
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
For this case we convert the mixed numbers to fractions:
Dwight:
Mike:
It is observed, that in fact, Mike takes more time to travel the road.
We subtract to know how much more time it takes Mike:
So, Mike takes 
hours more than Dwight to walk the road.
Answer:
Mike takeshours longer than Dwight to walk the road.
