Answer:
k = -12/77
Step-by-step explanation:
OG problem: k(3k−6)−7k(6k+10)=12
Step-by-step:
3k - 6k - 42k - 70k = 12
-3k - 42k - 70k = 12
-7k - 70k = 12
-77k = 12
k = -12/77
Easiest way is if you substitute each point (x,y) into each set of equations and both points work for both equations in the system of equations, then it is the correct answer
Otherwise substitute one equation for y in the other equation:
2x + 6 = x^2 + 5x + 6
-2x - 6. -2x -6
0 = x^2 + 3x. Factor
0 = x (x + 3)
Solve: x = 0. x + 3 = 0. ——> x = -3. Substitute into one original equation to get y value for
y = 2x + 6.
y = 2(0) + 6. y = 2(-3) + 6
y = 6. y = -6 + 6 —-> y = 0
(0 , 6) And. (-3 , 0)
Y - y₁ = m(x - x₁)
y - 4 = -2(x - 6)
y - 4 = -2(x) + 2(6)
y - 4 = -2x + 12
+ 4 + 4
y = -2x + 16
The answer is D, (6, 4).
Account balance is $123.08
Step-by-step explanation:
- Step 1: Balance in Thompson's account = $283.12. Calculate the total amount of checks Thompson wrote in the month.
Total amount of checks = $23.09 + $7.56 + $125.11 + $4.28
= $160.04
- Step 2: Calculate his balance.
Account balance = $283.12 - $160.04
= $123.08