Answer:
Part 11) The table represent a direct variation. The equation is
Part 12) The table represent a direct variation. The equation is
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Part 11)
For x=0.5, y=9
Find the value of k
----->
For x=3, y=54
Find the value of k
----->
For x=-2, y=-36
Find the value of k
----->
For x=1, y=18
Find the value of k
----->
For x=-8, y=-144
Find the value of k
----->
The values of k is the same for each ordered pair
therefore
The table represent a direct variation
The linear equation is
Part 12)
For x=-5, y=-2
Find the value of k
----->
For x=3, y=1.2
Find the value of k
----->
For x=-2, y=-0.8
Find the value of k
----->
For x=10, y=4
Find the value of k
----->
For x=20, y=8
Find the value of k
----->
The values of k is the same for each ordered pair
therefore
The table represent a direct variation
The linear equation is
Answer:
He have <u>0.96 acres</u> of early corn.
Step-by-step explanation:
Given:
Toms garden is 8 acres. Two fifths is corn.
Of that, three tenths is early corn and one tenth is late corn.
Now, to find the acres of early corn.
Total garden = 8 acres.
Total Corn in garden =
acres.
<em>As, given of the total corn in garden, three tenths is early corn.</em>
Now, to get the early corn he have:
= 
= 
= 
= 
Therefore, he have 0.96 acres of early corn.
Answer:
7
Step-by-step explanation:
21×1/3
21÷3=7
hope I've helped
Answer:
The number of skateboard company sell during the month of August = 55
Step-by-step explanation:
We have given,
Profit function for Bob, P = x²+ 10x - 12
Bob's profit during August month is $3,563
That means, P = $3,563
We can use the profit formula given for Bob's profit:
P = x² + 10x - 12
Plug P =$3,563 in above formula.
i.e 3,563 = x² + 10x - 12
or 0 = x² + 10x -12 - 3,563
or 0 = x² + 10x - 3575
or x = 55, -65
Since number of skate boards can not be negative.
So we consider x= 55
Hence the number of skateboard company sell during the month of August = 55.