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:
The arithmetic mean is 10.9
Step-by-step explanation:
In this question, we are tasked with calculating the arithmetic mean using the information given.
The arithmetic mean or otherwise called the average is the sum of all the values in a given set divided by the number of elements or count of the elements in that particular data set
Mathematically, the arithmetic mean can be found by dividing the sum of the data values by the number of data values.
In equation form, we have 
Inserting the values, we have Arithmetic mean = 10998/1007 = 10.92 which is 10.9 to the nearest tenth
Y = 1/3x - 2.
If you sub in 0, you’ll get (0, -2) which is the y intercept.
Answer:
y=-2/3x+10
Step-by-step explanation:
y=2/3x-11
plug in plot and remove intercept
6=-2/3(6)+b
6=-4+b
10=b
y=-2/3x+10
Answer:
w = ±![\sqrt[4]{36/5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B36%2F5%7D)
Step-by-step explanation:
-8+5w^4=28
You can regroup it:
5w^4 - 8 = 28
Add 8 to both side:
5w^4 = 28 + 8
5w^4 = 36
Divide both side by 5:
5w^4/5 = 36/5
w^4 = 36/5
Take the 4 root of both sides:
w = ±![\sqrt[4]{36/5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B36%2F5%7D)
Hope this help you :3