Answer:
k = 3
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms on both sides.
(2x - 1)(kx + 1) ← expand using FOIL
= 2kx² + 2x - kx - 1
Compare the coefficients of the x² term on both sides
2k = 6 ( divide both sides by 2 )
k = 3
Answer: 9.33 meters (9 1/3 meters)
Step-by-step explanation:
If the base edge is 12 m and the base is a square, square the edge length. (12*12=144). The volume of a prism is the area of the base times the height, so the height is the volume divided by the area of the base. Divide 1344 by the area of 144 (1344/144=9.33 or 9 1/3)
Answer: The value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6
Step-by-step explanation:
Since we have given that
y varies directly as x.
If y = 18, when x = 5.
So, we need to find the value of y when x is 11.
According to question, we get that

Hence, the value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6
The actual answer is 28,350
Answer:
The system of equations as described:
y = (-3/4)x + 3
y = -12
Combining two equations, we have:
=> -12 = (-3/4)x + 3
=> -15 = (-3/4)x
=> x = -15 x (-4/3) = 20
=> Solution is (20, -12)
=> Option A is correct.
Hope this helps!
:)