In the given equation, as the value of <em>y</em> increase, the value of <em>x</em> also
increases.
- Yes, 4·y = 16·x is a direct variation
Reasons:
A direct variation is a relationship that exists between two variables. It is
also known as a direct proportion which can be expressed as; y = k·x
Where <em>k</em> is a number
The given equation is 4·y = 16·x
Dividing both sides by 4 gives;
Which gives;
y = 4·x
Comparing the above equation with the equation for a direct variation gives;
y = 4·x
y = k·x
Therefore;
k = 4
The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.
Learn more about direct variation here:
brainly.com/question/6499629
F(x) = 2x and G(x) = x^2 + 2
(G - F)(x) just means we subtract the functions from each other.
x^2 + 2 - 2x
Let's rearrange the expression
x^2 - 2x + 2
Answer:
$38.31
Step-by-step explanation:
Given:
Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.
Question asked:
How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?
Solution:
At cost $24.35/ounce, pure silver is mixed = $33.48
At cost $1/ounce, pure silver is mixed = 
At cost $27.87/ounce, pure silver is mixed = 
Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.
Answer:
x = 8.75, y = 8.125
Step-by-step explanation:
The triangles are similar thus the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
8x = 70 ( divide both sides by 8 )
x = 8.75
And
= 
( cross- multiply )
8y = 65 ( divide both sides by 8 )
y = 8.125
30,384 feet difference between the two, since the climber is 29,035 feet above sea level you take a positive 29,035 and a -1,349 due to being below sea level, you add the two together with the equation 29,035+1349=30,384 feet
