Comparative relationships between numbers
First, use distributive property on the right half.
2 * 5 = 10
2 * 2n = 4n
4n - 9 = 10 + 4n
Add 9 to both sides
4n = 19 + 4n
Subtract 4n from both sides
0 = 19
But thats not true. Therefore, there is no solution.
Answer:
the "negative solution" is -3
Step-by-step explanation:
Represent the number by n.
Then n^2 - 24 = 5n
We rewrite this in standard quadratic form:
n^2 - 5n - 24 = 0
This factors as follows; (n + 3)(n - 8) = 0
The roots are n = -3 and n = 8. Thus, the "negative solution" is -3
Answer:
j = 44/3
Step-by-step explanation:
j varies jointly as g and v. This can be represented mathematically as:
.............(1)
Where k is a constant of proportionality
j = 2 when g = 4 and v = 3
Substitute these values into equation (1)
2 = k * 4 * 3
2 = 12 k
k = 1/6
when g = 8 and v = 11:
j = (1/6) * 8 * 11
j = 44/3
To find out if the points lie on the line y = 1/3x + 9, plug in the x value of the coordinate into the equation and see if the y value results in the same number
A. (0,9)
y = 1/3x + 9 Plug in 0 for "x"
y = 1/3(0) + 9
y = 9 This point is on the line
B. (-9,6)
y = 1/3x + 9 Plug in -9 for "x"
y = 1/3(-9) + 9
y = -9/3 + 9
y = -3 + 9
y = 6 This point is on the line
C. (3,10)
y = 1/3x + 9 Plug in 3 for "x"
y = 1/3(3) + 9
y = 3/3 + 9
y = 1 + 9
y = 10 This point is on the line
D. (12, -5)
y = 1/3x + 9 Plug in 12 for "x"
y = 1/3(12) + 9
y = 12/3 + 9
y = 4 + 9
y = 13 This point is not on the line
Your answer is A, B, and C
