Answer:
The solution of the system of the equation is (2, 2)
Step-by-step explanation:
Let us solve the system of equations
∵ 3x + y = 8 ⇒ (1)
∵ 3x - y = 4 ⇒ (2)
→ Add equations (1) and (2) to eliminate y
∴ (3x + 3x) + (y + -y) = (8 + 4)
∴ 6x + 0 = 12
∴ 6x = 12
→ Divide both sides by 6 to find x
∵
∴ x = 2
→ Substitute the value of x in equation (1) to find y
∵ 3(2) + y = 8
∴ 6 + y = 8
→ Subtract 6 from both sides
∵ 6 - 6 + y = 8 - 6
∴ y = 2
∴ The solution of the system of the equation is (2, 2)
3(x + 4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
3x+12
(3 + x) + 4
(x + 4) ⋅ 3
3x + 4
Answer:
option D
Step-by-step explanation:
(x-9) is a factor
x-9 =0 so x=9
now we plug in 9 for x and see which polynomial gives us remainder 0
A. x^2 - 6x +9 = 9^2 - 6(9) + 9 = 36
Remainder = 36 so (x-9) is not a factor
B) x^2 + 16x + 63= 9^2 + 16(9) + 63 = 288
Remainder =288 so (x-9) is not a factor
C) x^2 + 14x + 45= 9^2 + 14(9) + 45 = 252
Remainder = 252 so (x-9) is not a factor
D) x^2 - 12x + 27= 9^2 -12(9) + 27 = 0
Remainder = 0 so (x-9) is a factor