Answer:
Y=7
Step-by-step explanation:
(3y+5)= -4 -8y +9 + 77
-5 -5
3y= -9 - 8y + 9 + 77
+9 -9
3y= -8y + 77
+8y +8y
11y = 77
11y/11 77/11
y = 7
1. subtract 5 from both sides
2. add -9 and +9 and you get 0
3. add 8y to both sides
4. divide both sides by 11
5. you get y=7
Since they are intersecting lines, you would equal them to each other.
(5x+4)= (8x-71)
-8x. -8x
-3x + 4 = -71
- 4. -4
-3x = -75
Divide 3x by both sides gets you x = 25
Multiply 3x by -6, it gives you -18 so I'm going to say D
Answer:
The given point is a solution to the given system of inequalities.
Step-by-step explanation:
Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of
are
and
, respectively.
Plugging these values into the first inequality,
, gives us
, which simplifies to
. This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.
Plugging the coordinates into the second inequality,
, gives us
, which simplifies to
. This is also a true statement, so the given point satisfies the second inequality as well. Therefore,
is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!
Answer With Step-by-step explanation:
Part A:
.5[ (3x – 6) (2x + 4) ]
.5(6x^2 - 24)
3x^2 - 12
Part B:
Second Degree Binomial
Part C:
For Part A, a polynomial was multiplied by another polynomial. The resulting product was a polynomial. This is a demonstration of the closure property for multiplying polynomials.