we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx
so
we have
a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50
b) for x=2 y=1--------> y/x=1/2-------> 0.50
c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50
d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50
the value of k is equal to 0.50
so
<span>the relationship forms a direct variation. </span>
the equation is
y=0.50*x
Verify
for x=1
y=0.50*(1)------> y=0.50-----> is correct
for x=2
y=0.50*(2)------> y=1.00-----> is correct
for x=3
y=0.50*(3)------> y=1.50-----> is correct
for x=5
y=0.50*(5)------> y=2.50-----> is correct
Answer:
c. 42 miles per day
Step-by-step explanation:
From the information given, you can use a rule of three to calculate the constant rate that Kendra swims per day given that she swims 126 miles in 3 days:
3 days → 126 miles
1 day → x
x=(1*126)/3=42 miles
According to this, the answer is that Kendra swims 42 miles per day.
Answer:
f[g(1)]=6.
Explanation:
Given f(n) and g(n) defined below:
First, we evaluate g(1):
Therefore:
Therefore, f[g(1)]=6.
1) -2 -6
2) -2 -y
3) -2 -6 + -y
4) -2 -6 -y
Instead of using PEMDAS or the Order of Operations, the student went ahead and solved the equation as though it were written 6 * 12 - 8.
The correct way to solve would be to first solve the parentheses. 12 - 8 is equal to 4. 4 times 6 is 24, giving us an answer of 24.
