Answer: K= 8/3 or 2 2/3
Step-by-step explanation:
Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
Answer:
-125z³
Step-by-step explanation:
-5 times - 5 = 25 canceling negative
125 times -5 = -125
zXzXz = z to power of 3 =z³
Answer:
Step-by-step explanation:
if solving for y
solve for y by simplifying both sides of equation, then isolating the variable.
y=-3w+10+W
if solving for W
W=3w-10+y
if solving for w
w=W/3 - y/3 + 10/3
Reduce the number of terms in the expression by operating on like terms
for example
Simplify
x^2 - 3x + 4 + x^2 + 6x - 6
the like terms are the x^2 and x^2 , -3x and 6x and 4 and -6
so we have
x^2 + x^2 - 3x + 6x + 4 - 6
= 2x^2 + 3x - 2
This is the simplified form of the original expression
