Hey there!
The answer to your question is z > -4
We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.
-2z - 3 < 5 add 3 to both sides
-2z < 8 divide both sides by -2, and flip the inequality sign
z > -4
Good luck! Hope it helps, and have a great day!
Answer:
Number 1 and Number 4
Step-by-step explanation:
By factoring, you can figure out the roots (x = -2 or x = 2)...
1. x^2 - 4 = 0
--> (x + 2)(x - 2) = 0
--> x = -2, x = 2
2. x^2 + 4 = 0
--> factors weirdly, so I won't write it. You'd have to use the quadratic formula.
3. 3x^2 + 12 = 0
--> 3 (x^2 + 4) = 0
--> factors weirdly (same as above)
4. 4x^2 - 16 = 0
--> 4 (x^2 - 4) = 0
--> 4 (x+2) (x-2) = 0
--> x = -2, x = 2
5. 2 (x-2) 2 = 0
--> x = 2
Answer:
-10 = a
Step-by-step explanation:
17 = a - 3 - За
Combine like terms
17 = -3 -2a
Add 3 to each side
17+3 = -3-2a+3
20 = -2a
Divide by -2
20/-2 = -2a/-2
-10 = a
Answer:
(x, y) = (2, -3/4)
Step-by-step explanation:
The point of the "elimination" technique is to combine the equations in a way that eliminates one of the variables. Sometimes this involves multiplying one or both of the equations by constants before you add those results together. In any event, the first step is to look at the coefficients of the variable terms to see if there is a simple combination of them that will result in zero.
The y terms have coefficients that are opposites of each other (4, -4), so you can simply add the two equations to eliminate y as a variable.
(2x +4y) +(x -4y) = (1) +(5)
3x = 6 . . . . . simplify
x = 2 . . . . . . divide by 3
Now, you find y by substituting this value into one of the equations. I would choose the equation with the positive y-coefficient:
2(2) +4y = 1
4y = -3 . . . . . . subtract 4
y = -3/4
Then the solution is ...
(x, y) = (2, -3/4)
_____
A graphing calculator confirms this solution.
|-6| + |-3 + (-5)|
6 + |-8|
6 + 8
14