Part A x^2-3x -4
Part B x^2 +3x -4
Party C x^2+x-20
Part D x^2-x-20
Answer:
{-3, 2}U{2, 5}
Step-by-step explanation:
For an equation to be negative, it would need to be in a negative range (below the x-axis or the coordinates are negative y-values). Therefore, we can examine this question and see that the graph is negative when the function crosses the x-axis at -3 and it remains negative until you reach 2 on the x-axis.
Therefore, the first set of negative values is (-3, 2).
Secondly, applying the same logic as before, the function decreases at 2 and then touches the x-axis again at 5. Therefore, the second negative value would be (2, 5).
The negative values are {-3, 2}U{2, 5}.
Original Conditional: If P, then Q
Inverse: If not P, then not Q
Using that template, the inverse would be "If I do not like math, then I do not like science" (simply insert those two "not" words keeping the order the same)
so the answer is choice C
Answer:
x=−3 and y=7
Step-by-step explanation Solve: 7x+2y=−7for x:
7x+2y=−7
7x+2y+−2y=−7+−2y(Add -2y to both sides)
7x=−2y−7
7x
7
=
−2y−7
7
(Divide both sides by 7)
x=
−2
7
y−1
------------
−2
7
y−1forxin11x+5y=2:
11x+5y=2
11(
−2
7
y−1)+5y=2
13
7
y−11=2(Simplify both sides of the equation)
13
7
y−11+11=2+11(Add 11 to both sides)
13
7
y=13
13
7
y
13
7
=
13
13
7
(Divide both sides by 13/7)
y=7
------------------------
Substitute7foryinx=
−2
7
y−1:
x=
−2
7
y−1
x=
−2
7
(7)−1
x=−3(Simplify both sides of the equation)
Brr! That's cold!
If it's colder than -2 degrees outside, then doesn't that mean it's less than -2 degrees? What is the less than sign? <!
We're going to use "O" to stand for outside. If O is < -2 degrees, wouldn't your inequality be O<-2? ;) There's your answer!
