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:
2.)4n>(n/2)^2
3. (The problem isn't clear)
4.)n^2+2n-3=129
5.)n-5=171
Step-by-step explanation:
2.)
4n(four times the number) >(larger than) (n/2)^2 (half the number squared)
4.)
Sum=addition
n^2 (number squared) +2n (twice the number)-3=129
5.)
N(unknown number of pages) -5(amount of pages already read)= 171(the number of pages it took her to finish)
Answer:
y=-2x+8
Step-by-step explanation:
first is to find the slope
m=(y2-y1) /(x2-x1)= (2-4)/(3-2)=-2/1= -2
now using the line formula of y=m*x+b, put in one of the points and solve for b.
2= -2*3 + b
2= -6 + b
8 = b
so y= -2*x+8
Answer:
The number 10/2 = 5 is an integer.
Step-by-step explanation:
An integer is a whole number which cannot be expressed in fractions. For example, 1, 2, 3...
Integer can be positive, negative of zero.
It is a whole number so it is an integer.
- 0.3
It is not an integer as it has a fractional part.
It also has a fractional part, so it is not an integer.
0.4
It also has a fractional part, so it is not an integer.