Answer:
The most simple method for solving systems of equations is to transform one of the equations so it allows for the canceling out of a variable. In this case, we can multiply \displaystyle 3x + y = 8 by to get . Then, we can add \displaystyle 2x + 4y = 12 to this equation to yield , so .
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
2/3 x 1/4 is 2/12, which simplified is 1/6.
Step 1: Simplify both sides of the equation.
3(x−5)−5=23
(3)(x)+(3)(−5)+−5=23(Distribute)
3x+−15+−5=23
(3x)+(−15+−5)=23(Combine Like Terms)
3x+−20=23
3x−20=23
Step 2: Add 20 to both sides.
3x−20+20=23+20
3x=43
Step 3: Divide both sides by 3.
3x
/3 = 43
/3
x=
43
/3
Step-by-step explanation:
x⁴ − 5x³ + 11x² − 25x + 30
x⁴ − 5x³ + 6x² + 5x² − 25x + 30
x² (x² − 5x + 6) + 5 (x² − 5x + 6)
(x² + 5) (x² − 5x + 6)
(x² + 5) (x − 2) (x −3)
The zeros are 2, 3, and ±√5i.
Answer:
Option D) F
Step-by-step explanation:
we have
-----> inequality A
The solution of the inequality A is the shaded area below the dashed line 
The y-intercept of the dashed line is (0,10)
The x-intercept of the dashed line is (5,0)
----> inequality B
The solution of the inequality B is the shaded area below the dashed line 
The y-intercept of the dashed line is (0,-2)
The x-intercept of the dashed line is (4,0)
The solution of the system of inequalities is the shaded area between the two dashed lines
see that attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution
therefore
The solution are the points
E, F and G
