The relationship between x and y is represent as:
Since, the relationship is linear.
The standard form of equation of line is:

Consider any two set x and y values from the given relationship.
Let (-2, 10) and (-1,7.5)


The equation of the linear relationship between x and y is:
y = -2.5(x + 2) + 10
Now, to check that the point (9, -17.5) lies on the represented relationship between x and y
Substitute x = 9 and y = -17.5 in the equation y = -2.5(x + 2) + 10
y = -2.5(x + 2) + 10
-17.5 = -2.5(9 + 2) + 10
-17.5 = -2.5(11) + 10
-17.5 = -27.5 + 10
-17.5 = -17.5
Thus, LHS = RHS
Hence the point (9, -17.5) lie on the given linear relationship between x and y.
Answer: The point (9, -17.5) lie on the given linear relationship between x and y.
Answer:
1) B- Substitution
2) C- Elimination
3) A- Graphing
Step-by-step explanation:
1)
x+3y=7
5x+11y=3
x = 7 - 3y
Plug this x into the second equation and solve for y first
2)
5x-3y=3 --> (1)
2x+7y=6 --> (2)
Since making any variable the subject would involve fractions, it's better to go for elimination
7(1) + 3(2)
would eliminate y
3)
While comparing cost and adjusting choices, a graph is a better approach because all the possibilities are right in front
Answer:
84
Step-by-step explanation:
Combinations
nCr
n (objects) = 9
r (sample) = 3
9C3
n! / r! (n – r)!
9! / 3! (9 – 3)!=
9! / (3! * 6!)=
9*8*7*6!/ (3! * 6!)=
6! cancels out
9*8*7/3*2*1=
3*4*7=
12*7=
84
Answer:
5
Step-by-step explanation:
I divided
= 5