We are given the functions:
f(x) = 4 x – 5 --->
1
g(x) = 3 x + 7 --->
2
To find for the value of f(x) + g(x), all we have to do is
to add equations 1 and 2:
f(x) + g(x) = 4 x – 5 + 3 x + 7
f(x) + g(x) = 7 x + 2 = y
In this case, for any real number value assign to x, we get
a real number value of y. This is because the function is linear.
Therefore the domain of the function is all real numbers.
Answer:
You must mix 2.67 gals. of pure alcohol to obtain the desired mixture.
<span>current ratio: 4 apple trees for every 3 pear trees.
wants: 2 avocado trees for every 5 pear trees in the orchard.
Sandy is planting 18 avocado trees
so 2 avocado trees for every 5 pear trees
=1 avocado trees for every 2.5 pear trees
therefore if we have 18 avocado trees
18 x 2.5 = 45 pear trees
4 apple trees for every 3 pear trees
4/3
= 1.333 apple trees for every 1 pear tree
therefore if we have 45 avocado trees
45 x 1.333 = 60 apple trees
therefore ratio of avocado to apple trees = 18 : 60
18 : 60
= 9 : 30
= 3 : 10</span>
3 because 3•3 is 9 and 9•3 is 27
