Answer: a) Yes
b) No
Explanation: Substitute the values of X and Y from the given points into the equation. I’ll use a) as an example:
Given point: (1,-3)
Equation: 4x-2y=10
Value of X: 1
Value of Y: -3
Substitute X and Y: 4(1)-2(-3)=10
4-(-6)=10
4+6=10 ✔︎
Therefore, the given ordered pair is a proper solution to the equation 4x-2y=10.
*You can use the same method for question b).*
Answer:
865
Step-by-step explanation: The set of possibilities are:
Subcommittee is of 4 people according to:
4 teachers 0 other member total possibilities 1
3 teachers 1 teachers C₄,₃ = 4 and other member 6 6*4 = 24
2 teachers 2 C₄,₂ = 4!/2! = 12 2 (om) and C₆,₂ = 6!/4! = 30
30*12 = 360
1 teacher 3 (om) 4 and C₆,₃ = 6!/3! = 120
120*4 = 480
Total ways of committee 1 + 24 + 360 + 480 = 865
Answer:
c. (2, -18)
Step-by-step explanation:
y = -5x - 8
y = 3x - 24
3x - 24 = -5x - 8
8x = 16
x = 2
y = 3x - 24
y = 3(2) - 24
y = 6 - 24
y = -18
Answer: c. (2, -18)
The 8th number in this sequence is -16. You are subtracting 3 between each set of numbers.
a1= 8-5= 3
a2= 5-2= 3
a3= 2-(-1)= 3
a4= -1 - (-4)= 3
a5= -4 - (-7)= 3
a6= -7 - (-10)= 3
a7= -10 - (-13)= 3
a8= -13 - (-16)= 3
ANSWER: -16
Hope this helps! :)
5 5/30 is the answer to the question.
